Problem 8.53
How much heat (in kilojoules) is evolved or absorbed in the reaction of 1.30g of Na with H2O ? 2Na(s)+2H2O(l)--->2NaOH(aq)+H2(g), delta H= -368.4kJ

Is the reaction exothermix or endothermic?

Answers

Answer 1

The given reaction is exothermic. Given that;2Na(s) + 2H2O(l) → 2NaOH(aq) + H2(g), ∆H = - 368.4 kJWe need to find the amount of heat evolved or absorbed in the reaction of 1.30 g of Na with H2O.

To find the amount of heat evolved, we will use the following formula; Heat evolved = (n x ∆H)/m Where, n = number of moles of the substance used ∆H = heat of reaction m = mass of the substance used In the given reaction, the stoichiometric ratio of Na and ∆H is 2: -368.4 kJ Hence, the amount of heat evolved by the reaction of 2 moles of Na with H2O is - 368.4 kJ So, the amount of heat evolved by the reaction of 1 mole of Na with H2O is (-368.4 kJ/2) = - 184.2 kJ Therefore, the amount of heat evolved by the reaction of (1.30 g/23 g/mol) 0.0565 mol of Na with H2O is;(0.0565 mol × - 184.2 kJ/mol) = - 10.4 kJ The negative sign shows that the reaction is exothermic and the amount of heat evolved is 10.4 kJ. We are given a balanced chemical equation and the value of the enthalpy change for the reaction in kJ. Using the formula for the heat evolved in a chemical reaction, we calculated the amount of heat involved in the given reaction. By comparing the moles of Na used in the reaction, we calculated the heat evolved by the reaction of 1 mole of Na with H2O, which was equal to - 184.2 kJ. Further, we used the mass of Na used in the reaction to calculate the amount of heat evolved. The final result showed that the reaction was exothermic and the amount of heat evolved was 10.4 kJ.

For more information on exothermic visit:

brainly.com/question/4345448

#SPJ11


Related Questions

what reaction can occur between two of the species present at the equivalence point in the titration of acetic acid with sodium hydroxide?

Answers

At the equivalence point of the titration of acetic acid with sodium hydroxide, sodium acetate and water can react together to form a basic solution, as shown in the chemical equation: CH₃COO⁻ + H2O ⇌ CH₃COOH + OH⁻

The titration of acetic acid and sodium hydroxide can be seen as a neutralization reaction, which occurs when an acid and a base react to form a salt and water. In this reaction, the acetic acid reacts with the sodium hydroxide, and the sodium acetate and water are produced, according to the following chemical equation :CH₃COOH + NaOH ⇌ CH₃COONa + H₂O

At the beginning of the titration, the solution contains only acetic acid and water. As sodium hydroxide is added to the solution, it reacts with the acetic acid to produce the acetate ion (CH₃COO⁻) and water. As more sodium hydroxide is added, the concentration of the acetate ion continues to increase until it reaches a point where it is equal to the concentration of the acetic acid, and the solution is said to be at the equivalence point.

At this point, the acetic acid has been completely neutralized by the sodium hydroxide, and the solution contains only the acetate ion and water. The acetate ion is the conjugate base of acetic acid and can react with water to produce acetic acid and hydroxide ion (OH⁻). The concentration of hydroxide ions continues to increase until it reaches a point where the solution is basic, with a pH greater than 7.0.The chemical equation for the reaction between sodium acetate and water to produce acetic acid and hydroxide ion is: CH₃COO⁻ + H₂O ⇌ CH₃COOH + OH⁻  

Therefore, at the equivalence point of the titration of acetic acid with sodium hydroxide, the reaction that can occur between two of the species present in the solution is the reaction between sodium acetate and water to produce a basic solution containing acetate ions and hydroxide ions.

To know more about equivalence point, refer

https://brainly.com/question/2496608

#SPJ11

What is the mole fraction of O2 in a mixture of 6.00 g He, 19.0 g O2, and 21.0 g N2?

Answers

The mole fraction of a gas component is determined by dividing the number of moles of that gas component by the total number of moles present in the gas mixture. The molar mass of He is 4.00 g/mol, while the molar masses of O2 and N2 are 32.0 g/mol and 28.0 g/mol, respectively. Hence, the total number of moles in the mixture is:[tex]\begin{aligned} n_{\rm total} &= \frac{6.00\,{\rm g}\ He}{4.00\,{\rm g/mol}\ He} + \frac{19.0\,{\rm g}\ O_2}{32.0\,{\rm g/mol}\ O_2} + \frac{21.0\,{\rm g}\ N_2}{28.0\,{\rm g/mol}\ N_2} \\ &= 1.50 + 0.594 + 0.750 \\ &= 2.844\,{\rm mol} \end{aligned}[/tex]The mole fraction of O2 is equal to the number of moles of O2 divided by the total number of moles in the mixture:[tex]\begin{aligned} X_{O_2} &= \frac{n_{O_2}}{n_{\rm total}} \\ &= \frac{0.594}{2.844} \\ &= \boxed{0.209} \end{aligned}[/tex]Therefore, the mole fraction of O2 in the given gas mixture is 0.209.

To know more about molar masses visit

https://brainly.com/question/31545539

#SPJ11

The mole fraction of O2 in the mixture is 0.281. The mole fraction is a dimensionless quantity, and it denotes the number of moles of a solute present in the solution's total number of moles.

The mole fraction of O2 in a mixture of 6.00 g He, 19.0 g O2, and 21.0 g N2 can be calculated as follows:

The number of moles of helium (He) in the mixture can be calculated using the formula,  where m is the mass of the sample, and M is the molar mass of the substance. Here, M is the atomic mass of helium, which is 4.00 g/mol.

Therefore, the number of moles of helium in the mixture is:

The number of moles of oxygen (O2) can also be calculated using the same formula, but here, M is the molar mass of oxygen, which is 32.00 g/mol. Therefore, the number of moles of oxygen in the mixture is:The number of moles of nitrogen (N2) can also be calculated using the same formula, but here, M is the molar mass of nitrogen, which is 28.00 g/mol. Therefore, the number of moles of nitrogen in the mixture is:Now, the total number of moles in the mixture is:The mole fraction of O2 can be calculated using the formula:

Therefore, the mole fraction of O2 in the mixture is 0.281.

To learn more about mole visit;

https://brainly.com/question/30892840

#SPJ11

what+minimum+mass+of+ch4+is+required+to+heat+85.0+g+of+water+by+25.0+∘c+?+(assume+100+%+heating+efficiency.)+(for+water,+cs=4.18+j/g+∘c+).+5.63+g+4.25×103+g+0.178+g+17.8+g

Answers

Answer:

g

Explanation:

The minimum mass of CH4 required to heat 85.0 g of water by 25.0°C is approximately 1.78 g.

The heat energy required to raise the temperature of water by 25.0°C can be calculated using the given values:

m = 85.0 gCs = 4.18 J/g°CT = 25.0°CQ = m x Cs x TQ = (85.0 g) x (4.18 J/g°C) x (25.0°C)Q = 89,075 J ≈ 89 kJ

Now, we need to determine the minimum mass of CH4 required to generate this amount of heat energy.

CH4(g) + 2O2(g) → CO2(g) + 2H2O(g).

The combustion of 1 mole of CH4 produces 802 kJ of heat energy.

Mass of CH4 required = Heat energy required ÷ Heat energy produced by 1 mole of CH4

Substituting the values:

89,075 J ÷ (802 kJ/mol)Mass of CH4 required ≈ 0.111 mol

Mass of CH4 required = molar mass x number of moles

Mass of CH4 required = 16.04 g/mol x 0.111 mol

Mass of CH4 required = 1.78 g

Therefore, the minimum mass of CH4 required to heat 85.0 g of water by 25.0°C is approximately 1.78 g.

To learn more about mass visit;

https://brainly.com/question/11954533

#SPJ11

what are the expected bond angles in icl4 ? check all that apply.

Answers

The anion ICl4- is formed by adding an electron to ICl4. The lone pair of electrons on the I atom in ICl4- results in its tetrahedral shape. The expected bond angles in ICl4- are: 109.5° and 90°.

Explanation: ICl4- is tetrahedral in shape with a lone pair of electrons on the central Iodine (I) atom. Due to the presence of a lone pair, the bond angles deviate slightly from the ideal tetrahedral bond angle of 109.5 degrees. In particular, the bond angle between the two axial atoms is less than 90 degrees, while the bond angle between the two equatorial atoms is slightly greater than 90 degrees.

As a result, the expected bond angles in ICl4- are 109.5° and 90°. The ideal bond angle of 109.5 degrees is obtained between the equatorial I-Cl bonds, while the axial I-Cl bond angles are 90 degrees.ICl4- is an ion that is tetrahedral in shape. The anion ICl4- is formed by adding an electron to ICl4. The lone pair of electrons on the I atom in ICl4- results in its tetrahedral shape.

To learn more about electron visit;

https://brainly.com/question/12001116

#SPJ11

4-methylacetophenone and 4-nitrobenzaldehyde product through aldol

Answers

Aldol is a compound that includes an aldehyde and an alcohol functional group. It is formed when an aldehyde or ketone acts as both an electrophile and a nucleophile. In the presence of a base, such as sodium hydroxide or lithium diisopropylamide, the carbonyl oxygen of the aldehyde or ketone becomes the electrophile.

The enolate anion of the carbonyl compound is the nucleophile. The reaction of 4-methylacetophenone and 4-nitrobenzaldehyde yields a product through aldol reaction. The reaction is carried out in the presence of an alkaline catalyst, typically sodium hydroxide. Under basic conditions, the carbonyl group of the aldehyde or ketone is transformed into an enolate, which then attacks the carbonyl carbon of the other compound. The resulting β-hydroxy carbonyl compound is an aldol, which can be dehydrated to form an α,β-unsaturated carbonyl compound. For example:Step 1: Enolate Formation Step 2: Aldol Addition Step 3: Dehydration he product formed from the aldol reaction of 4-methylacetophenone and 4-nitrobenzaldehyde is 4-methyl-3-(4-nitrophenyl)-2-buten-1-one.

For more information on Aldol  visit:

brainly.com/question/31491187

#SPJ11

which reagents can be used to convert an aldehyde to a carboxylic acid

Answers

To convert an aldehyde to a carboxylic acid, oxidation of the aldehyde functional group is required.

There are several reagents that can be used for this conversion:

1. Strong Oxidizing Agents:

  - Potassium permanganate (KMnO4): In the presence of acidic conditions, KMnO4 can oxidize aldehydes to carboxylic acids.

  - Chromic acid (H2CrO4): It is a strong oxidizing agent that can convert aldehydes to carboxylic acids.

2. Tollens' Reagent:

  Tollens' reagent, also known as silver mirror reagent, is a solution of silver nitrate (AgNO3) and ammonia (NH3) in water. It can oxidize aldehydes to carboxylic acids under mild conditions. It produces a silver mirror on the inner surface of the reaction vessel.

3. Jones Reagent:

  Jones reagent consists of a solution of chromium trioxide (CrO3) in diluted sulfuric acid (H2SO4). It is a strong oxidizing agent that can convert aldehydes to carboxylic acids.

These are some commonly used reagents to convert aldehydes to carboxylic acids through oxidation. The choice of reagent may depend on factors such as reaction conditions, desired selectivity, and other functional groups present in the molecule.

To know more about aldehyde visit;

brainly.com/question/30459994

#SPJ11

enter a balanced equation for the dissolution of baso4baso4 .

Answers

BaSO4 is barium sulfate. The dissolution of barium sulfate involves the breaking down of a solid crystal into individual ions that are suspended in water. Therefore, the balanced equation for the dissolution of BaSO4 in water can be written as BaSO4(s) → Ba2+(aq) + SO42-(aq).

It can be represented using the following balanced chemical equation: BaSO4(s) → Ba2+(aq) + SO42-(aq)The dissolution of BaSO4 results in the formation of aqueous solutions of Ba2+ and SO42- ions that are present in equal quantities. The ions formed in this reaction are responsible for the formation of precipitates and other chemical reactions that occur in water. Barium sulfate is a compound that is relatively insoluble in water. The solubility of barium sulfate is less than 0.004 g per 100 ml of water at room temperature. This low solubility makes it difficult for barium sulfate to dissolve in water. Therefore, if a large amount of barium sulfate is added to water, most of it will remain as a solid. Therefore, the balanced equation for the dissolution of BaSO4 in water can be written as BaSO4(s) → Ba2+(aq) + SO42-(aq).

To Know more about barium sulfate visit:

brainly.com/question/2782682

#SPJ11

Calculate the values of Z1 and Z1 for ammonia (NH;) vapor at 288 K; both at P = 2.2 atm and at P = 0.22 atm_ (The collision diameter of NHa 4.43 A.) Z1 (collisions-s Z11 (collisions-m-3-s-1) 2.2 atm 0.22 atm How do these two quantities depend on pressure? When the pressure reduced by factor of x, 21 reduced by factor of and 211 reduced by factor of Supporting Materials Periodic Table Constants and Factors Supplemental Data Additional Materials Sectlon 2,5

Answers

To calculate the values of Z1 and Z11 for ammonia (NH3) vapor at different pressures, we can use the collision theory equation:

Z = (π * d^2 * N) * (√(2 * π * M * kB * T) / h)

Where:

Z = collision frequency (collisions per second)

d = collision diameter (4.43 Å)

N = number density of molecules (in m^-3)

M = molar mass of NH3 (in kg/mol)

kB = Boltzmann constant (1.38 x 10^-23 J/K)

T = temperature (in Kelvin)

h = Planck's constant (6.626 x 10^-34 J·s)

First, we need to calculate the number density (N) of NH3 molecules at each pressure. The number density is related to pressure (P) by the ideal gas law:P = N * kB * T Solving for N:N = P / (kB * T)Now we can substitute the values into the collision frequency equation to calculate Z1 and Z11 at each pressure.For P = 2.2 atm:

N1 = (2.2 atm) / (kB * 288 K)

N1 = (2.2 atm) / (1.38 x 10^-23 J/K * 288 K)Using the appropriate conversion factors, we can express the pressure in SI units (Pa) for the calculation:

N1 = (2.2 atm) * (1.01325 x 10^5 Pa/atm) / (1.38 x 10^-23 J/K * 288 K)

the values into the collision frequency equation for Z1:

Z1 = (π * (4.43 x 10^-10 m)^2 * N1) * (√(2 * π * (28.97 g/mol) / (6.626 x 10^-34 J·s * 288 K))Similarly, for P = 0.22 atm, we calculate N2 and substitute into the collision frequency equation for Z2.Finally, we can compare the values of Z1 and Z2 to determine how they depend on pressure.

To know more about pressure visit :

https://brainly.com/question/30673967

#SPJ11

the molar heat of solution of kclo4 is 50.9 kj/mol, the volume of water in which the salt will be siddoolved

Answers

To calculate the volume of water in which KClO4 will be dissolved, we need to know the mass of KClO4 and its solubility in water. If the molar heat of the solution is 50.9 KJ/mol

Unfortunately, the information provided is not sufficient to determine the volume of water.

The molar heat of solution of KClO4 is given as 50.9 kJ/mol. This value represents the amount of heat released or absorbed when one mole of KClO4 is dissolved in water.

However, this value alone does not provide enough information to determine the volume of water required for dissolving the salt. To do so, we need to know the mass of KClO4 and its solubility in water (i.e., how many grams of KClO4 can be dissolved in 1 L of water).

To answer your question, please provide additional information such as the mass of KClO4 and its solubility in water. With that information, we can calculate the volume of water required to dissolve the given amount of KClO4.

For more information on molar heat kindly visit to

https://brainly.com/question/8990549

#SPJ11

use molecular orbital (mo) diagrams to rank b22 , b2, and b2− in order of increasing bond order, bond energy, and bond length.

Answers

The order of increasing bond length is B22 > B2 > B2-.In summary, the order of increasing bond order is B22 < B2 < B2-, the order of increasing bond energy is B22 < B2 < B2-, and the order of increasing bond length is B22 > B2 > B2-.

Molecular orbital (MO) diagrams are used to assess the bonding in a molecule and provide information about bond order, bond energy, and bond length. In this question, we have to rank B22, B2, and B2- in order of increasing bond order, bond energy, and bond length using MO diagrams.

Bond order: Bond order refers to the number of chemical bonds between two atoms. It is determined by the number of bonding electrons minus the number of antibonding electrons divided by two. A higher bond order indicates stronger bonding between two atoms. B22 has a bond order of 1, B2 has a bond order of 1, and B2- has a bond order of 2. Therefore, the order of increasing bond order is B22 < B2 < B2-.

Bond energy: Bond energy refers to the energy required to break a chemical bond. A higher bond energy indicates a stronger bond. B22 has the weakest bond and the smallest bond energy because it is composed of two atoms in the ground state, which do not bond. B2 has a slightly stronger bond than B22, but the bond energy is still low. B2- has the strongest bond because it has the highest bond order. Therefore, the order of increasing bond energy is B22 < B2 < B2-.

Bond length: Bond length refers to the distance between the nuclei of two bonded atoms. A shorter bond length indicates a stronger bond. B22 has the largest bond length since it has no bond. B2 has a slightly shorter bond length than B22. B2- has the shortest bond length since it has the highest bond order.

Therefore, the order of increasing bond length is B22 > B2 > B2-.In summary, the order of increasing bond order is B22 < B2 < B2-, the order of increasing bond energy is B22 < B2 < B2-, and the order of increasing bond length is B22 > B2 > B2-.

To learn more about energy visit;

https://brainly.com/question/1932868

#SPJ11

List a correct order the organs through which foods pacs from the mouth to the anus. b.state the ration of a balance ration for feeding poultry.
c.predict the product from when.
(I) magnesium solution react with dilute hydrochloric acid.
(ii) potassium meet with water


Answers

Mg + HCl  → MgCl2 + H2. Salt and hydrogen gas are created when metal and acid combine. Magnesium produces hydrogen gas.

Thus, Salt and hydrogen gas are created when metal and acid combine. Magnesium produces hydrogen gas and magnesium chloride salt when it combines with diluted hydrochloric acid.

The gas produced by the reaction of magnesium with diluted HCl is hydrogen gas. The gas produced by the reaction of magnesium with diluted HCl is hydrogen gas.

The experiment produces very flammable hydrogen gas. No ignition source should be available to students.

Thus, Mg + HCl  → MgCl2 + H2. Salt and hydrogen gas are created when metal and acid combine. Magnesium produces hydrogen gas.

Learn more about Magnesium, refer to the link:

https://brainly.com/question/22370698

#SPJ1

if 50 moles of nitrogen gas were used in the reaction and there was excess hydrogen gas, how many moles of ammonia could be generated

Answers

The number of moles of ammonia, NH₃ generated from the reaction of 50 moles of nitrogen gas, N₂ with excess hydrogen gas, H₂ is 100 moles

How do i determine the mole of ammonia, NH₃ generated?

The number of mole of ammonia, NH₃ generated from the reaction of 50 moles of nitrogen gas, N₂ with excess hydrogen gas, H₂ can be obtain as shown below:

Balanced equation:

N₂ + 3H₂ -> 2NH₃

From the balanced equation above,

1 mole of nitrogen gas, N₂ reacted to produced 2 moles of ammonia gas, NH₃

Therefore,

50 moles of nitrogen gas, N₂ will react to produce = 50 × 2 = 100 moles of ammonia gas, NH₃

Thus, the number of mole of ammonia gas, NH₃ generated from the reaction is 100 moles

Learn more about mole produced:

https://brainly.com/question/13375719

#SPJ1

This is the correct answer to

In the experiment, the ______ was intentionally manipulated. It is the independent variable.
The dependent variables that were measured were the ________.

1. Amount of compost.

2. Number of plants and Average height.

I know this helped because I got it correct. GOOD LUCK!!

Answers

Explanation:

1 st one Amount of compost1 st one Amount of compost2nd one Number of plants and Average height.

Your Brainly guide

Answer:

amount of compost is the first answer

draw the mechanism for the reaction between benzoic acid and sodium hydroxide

Answers

The reaction between benzoic acid and sodium hydroxide is a base-catalyzed esterification reaction.

What is base-catalyzed esterification reaction?

Base-catalyzed esterification is a chemical reaction that involves the formation of an ester from a carboxylic acid and an alcohol, using a base as a catalyst. The base helps to facilitate the reaction by deprotonating the carboxylic acid, making it more reactive towards the alcohol.

The general equation for a base-catalyzed esterification reaction is as follows:

Carboxylic acid + Alcohol ⇌ Ester + Water

In this reaction, the base abstracts a proton (H+) from the carboxylic acid, forming a carboxylate anion. The carboxylate anion then reacts with the alcohol, resulting in the formation of an ester and water.

The mechanism of the reaction is as follows:

Step 1: Proton transfer

In the first step, a proton is transferred from benzoic acid to sodium hydroxide, forming the sodium salt of benzoic acid and water.  

`C6H5COOH + NaOH → C6H5COO−Na+ + H2O`

Step 2: Formation of an intermediate

In the second step, the sodium salt of benzoic acid reacts with benzoic acid to form an intermediate species called benzoyl sodium.

`C6H5COO−Na+ + C6H5COOH → C6H5COO−C6H5COONa`

Step 3: Esterification

The benzoyl sodium intermediate then reacts with another molecule of benzoic acid, releasing sodium hydroxide to form the ester benzyl benzoate and sodium benzoate as by-product.

`C6H5COO−C6H5COONa + C6H5COOH → C6H5COOC6H5CH2OC6H5 + NaC6H5COO`

Overall Reaction:

`C6H5COOH + C6H5COOH + NaOH → C6H5COOC6H5CH2OC6H5 + NaC6H5COO + H2O`

Hence, the complete mechanism for the reaction between benzoic acid and sodium hydroxide is as described above.

Learn more about mechanism of reaction:

https://brainly.com/question/26690612

#SPJ11

A solution of Na2SO4 is added dropwise to a solution that is 1.1×10−2 M in Ba2+ and 1.1×10−2 M in Sr2+.
The solubility-product constants are as follows:
BaSO4:SrSO4:KspKsp==1.1×10−103.2×10−7
You may want to reference(Pages 751 - 753) Section 17.6 while completing this problem.
Which cation will precipitate first?
Ba2+ precipitates first.
Sr2+ precipitates first.
What concentration of SO42− is necessary to begin precipitation? (Neglect volume changes.)
Express the molarity to two significant digits.
1.0×10−8
M
***Need help with this answer.
1.) At what concentration of SO42− will the second cation begin to precipitate?

Answers

When a solution of Na2SO4 is added dropwise to a solution containing both Ba2+ and Sr2+ ions, the BaSO4 precipitates first because its solubility-product constant is higher than that of SrSO4. The necessary concentration of SO42- to begin precipitation of the second cation can be determined using the common-ion effect. According to the solubility product constant, the solubility of BaSO4 is less than that of SrSO4. When Na2SO4 is added to the solution, the concentration of SO42- ions increases. This results in a decrease in the solubility of both BaSO4 and SrSO4 due to the common-ion effect. BaSO4 will precipitate first because it has a lower solubility than SrSO4.To determine the concentration of SO42- required to begin the precipitation of the second cation, one can use the expression for the solubility-product constant (Ksp) for each salt. Ksp for BaSO4 = [Ba2+][SO42-] = 1.1 × 10-10Ksp for SrSO4 = [Sr2+][SO42-] = 3.2 × 10-7The concentration of SO42- required to begin precipitation of SrSO4 can be determined using the Ksp expression for SrSO4. Rearranging the equation, we obtain:[SO42-] = Ksp /[Sr2+]The concentration of Sr2+ is 1.1 × 10-2 M, which we will use to determine the concentration of SO42- required to begin the precipitation of SrSO4.[SO42-] = (3.2 × 10-7)/(1.1 × 10-2) = 2.91 × 10-6 M This is the minimum concentration of SO42- required to begin precipitation of SrSO4. The concentration required for the precipitation of BaSO4 is higher because its Ksp value is lower. The second cation to precipitate will be Sr2+. Therefore, the concentration of SO42- needed to precipitate Sr2+ is 2.91 × 10-6 M. Answer: 2.91 × 10-6 M.

To know more about common-ion effect visit

https://brainly.com/question/30772969

#SPJ11

The concentration of SO42− ion required to precipitate the first cation is 1.0 × 10−8 M.

The given equation is as follows:BaSO4 ⇌ Ba2+ + SO42− Ksp = 1.1 × 10−10SrSO4 ⇌ Sr2+ + SO42− Ksp = 3.2 × 10−7

The ionic product, Qsp for BaSO4:Qsp = [Ba2+] [SO42−] = (1.1 × 10−2) (x) = 1.1 × 10−10/x

The ionic product, Qsp for SrSO4:Qsp = [Sr2+] [SO42−] = (1.1 × 10−2) (x) = 3.2 × 10−7/x

The precipitation will occur if Qsp > Ksp .

Thus, for the precipitation of BaSO4,1.1 × 10−10/x > 1.1 × 10−10x > (1.1 × 10−10/1.1 × 10−8)1.0 × 10−18 M or 1.0 × 10−8 MIn case of SrSO4,3.2 × 10−7/x > 3.2 × 10−7x > (3.2 × 10−7/3.2 × 10−8)1.0 × 10−1 M or 0.1 M

Since x < 1.0 × 10−8, the precipitation of BaSO4 will occur first. Hence Ba2+ ion precipitates first.

2) What concentration of SO42− is necessary to begin precipitation? (Neglect volume changes.)

Since Ba2+ ion will precipitate first, the concentration of SO42− ion required for precipitation of BaSO4 is given by the equation.1.1 × 10−10/x = 1.1 × 10−10/x = x = 1.0 × 10−8 M. The concentration of SO42− ion required to precipitate the first cation is 1.0 × 10−8 M.

To learn more about precipitate visit;

https://brainly.com/question/30904755

#SPJ11

identify the solute and solvent in each solution. part a 80-proof vodka (40thyl alcohol)

Answers

In an 80-proof vodka solution, the solute is ethyl alcohol, and the solvent is water.

A solution is composed of a solute, which is the substance being dissolved, and a solvent, which is the substance doing the dissolving. In the case of 80-proof vodka, it contains 40% ethyl alcohol by volume. The remaining 60% is mostly water, with some trace impurities.

Therefore, ethyl alcohol is the solute as it is being dissolved, and water is the solvent as it is the substance dissolving the ethyl alcohol.

In an 80-proof vodka solution, ethyl alcohol serves as the solute and water serves as the solvent.

For more information on solute and solvent kindly visit to

https://brainly.com/question/4518977

#SPJ11

a sample of hydrogen gas diffuses 3.8 times faster than an unknown gas diffuses. what is the molar mass of the unkown gas

Answers

The molar mass of the unknown gas, given that hydrogen gas diffuses 3.8 times faster than an unknown gas is 28.88 g/mol

How do i determine the molar mass of the unknown gas?

The following data were obtained from the question:

Rate of unknown gas (R₁) = RRate of hydrogen gas (R₂) = 3.8RMolar mass of hydrogen gas (M₂) = 2 g/molMolar mass of unknown gas (M₁) = ?

The molar of the unknown gas can be obtained as follow:

R₁ / R₂ = √(M₂/M₁)

R / 3.8R = √(2 / M₁)

1 / 3.8 = √(2 / M₁)

Take the square of both sides

(1 / 3.8)² = 2 / M₁

Cross multiply

M₁ × (1 / 3.8)² = 2

Divide both sides by (1 / 3.8)²

M₁  = 2 / (1 / 3.8)²

M₁ = 28.88 g/mol

Thus, we can conclude that the molar mass of the unknown gas is 28.88 g/mol

Learn more about rate of diffusion:

https://brainly.com/question/26857659

#SPJ1

what is the major product of the following reaction ch3−c ch3 ch3−c oh ch3 hbr−→−−heat

Answers

The major product of the reaction between CH3-C(CH3)(OH)CH3 and HBr in the presence of heat is CH3-C(CH3)(Br)CH3.

This is because the reaction proceeds via an elimination mechanism, where the hydroxyl group is eliminated as water, forming a carbocation intermediate. The bromide ion then attacks the carbocation, resulting in the formation of the alkyl bromide product.

The product is majorly formed due to the stability of the tertiary carbocation intermediate.
The major product of the given reaction, which involves CH3-C(CH3)=CH2 and CH3-C(OH)(CH3)-HBr in the presence of heat, is the result of an electrophilic addition reaction. The major product would be the more stable tertiary carbocation, formed via Markovnikov's rule. Therefore, your answer is: CH3-C(CH3)(CH2-Br)-CH3.

To know more about reaction visit

https://brainly.com/question/30086505

#SPJ11

The molar solubility of C a ( O H ) 2 was experimentally determined to be 0.020 M. Based on this value, what is the K s p of C a ( O H ) 2 ?

Answers

The molar solubility of a substance refers to the maximum amount of solute that can dissolve in a solvent to form a saturated solution. In this case, the molar solubility of Ca(OH)2 was experimentally determined to be 0.020 M.

The Ksp (solubility product constant) of a substance is a measure of its solubility in water and is equal to the product of the concentrations of its constituent ions raised to their stoichiometric coefficients. For Ca(OH)2, the equation for its dissolution in water is:

Ca(OH)2(s) ⇌ Ca2+(aq) + 2OH-(aq)

Therefore, the Ksp of Ca(OH)2 can be calculated using the molar solubility value as follows:

Ksp = [Ca2+][OH-]^2

Assuming complete dissociation, the concentration of Ca2+ ions is equal to the molar solubility of Ca(OH)2, which is 0.020 M. The concentration of OH- ions is twice that of the Ca2+ ions, or 2(0.020 M) = 0.040 M.

Substituting these values into the Ksp equation gives:

Ksp = (0.020 M)(0.040 M)^2 = 3.2 x 10^-6

Therefore, the Ksp of Ca(OH)2 is 3.2 x 10^-6.

To know more about molar solubility visit :

https://brainly.com/question/31043999

#SPJ11

the activation energy of a certain reaction is 41.2 kj/mol . at 29 ∘c , the rate constant is 0.0190s−1 . at what temperature in degrees celsius would this reaction go twice as fast?

Answers

The Arrhenius equation relates the activation energy to the rate constant.

It is given by:k = Ae-Ea/RTwhere:k = rate constantA = frequency factor (a constant that depends on the particular reaction)Ea = activation energyR = gas constantT = temperature.In order to find the temperature at which the reaction would go twice as fast, we can use the fact that the rate constant is proportional to the activation energy and the temperature. Thus:ln(k1/k2) = Ea/R * (1/T2 - 1/T1)where:k1 = initial rate constant (0.0190 s^-1)k2 = final rate constant (2 * 0.0190 s^-1 = 0.0380 s^-1)Ea = 41.2 kJ/molR = 8.314 J/mol-KRearranging and solving for T2:T2 = 1 / {(ln(k1/k2) / (Ea/R)) + 1/T1}Plugging in the given values:T1 = 29°C + 273.15 = 302.15 KEa = 41.2 kJ/molR = 8.314 J/mol-Kk1 = 0.0190 s^-1k2 = 0.0380 s^-1T2 = 1 / {(ln(0.0190/0.0380) / (41.2 kJ/mol / (8.314 J/mol-K))) + 1/302.15}= 329.3 K or 56.1°CTherefore, at a temperature of 56.1°C, the reaction would go twice as fast.

To know more about activation energy , visit ;

https://brainly.com/question/1380484

#SPJ11

Calculate the equilibrium constant K for the isomerization of glucose-1-phosphate to fructose-6-phosphate at a temperature of 298 Kelvin.
DeltaG=-5.61 kJ/mol

Answers

The equilibrium constant (K) for the isomerization of glucose-1-phosphate to fructose-6-phosphate at 298 Kelvin is 3.35.

To calculate the equilibrium constant (K), we can use the following formula:

K = e^(-ΔG / (RT))

Where ΔG is the Gibbs free energy change (-5.61 kJ/mol), R is the gas constant (8.314 J/mol K), and T is the temperature (298 K).

First, convert ΔG to J/mol: -5.61 kJ/mol * 1000 J/kJ = -5610 J/mol

Then, plug the values into the formula:

K = e^(-(-5610) / (8.314 * 298))

K = e^(5610 / 2476.972)

K = e^2.263

K = 3.35 (rounded to two decimal places)

The equilibrium constant (K) for the isomerization of glucose-1-phosphate to fructose-6-phosphate at a temperature of 298 Kelvin is 3.35.

For more information on equilibrium constant kindly visit to

https://brainly.com/question/29809185

#SPJ11

the hybridization of the carbon atom in carbon dioxide is __________.

Answers

The hybridization of the carbon atom in carbon dioxide is sp hybridization. In CO₂, the carbon atom is bonded to two oxygen atoms. To understand the hybridization, we can follow these steps:

1. Identify the central atom: In CO₂, the central atom is carbon.
2. Determine the number of electron groups around the central atom: Carbon has 4 valence electrons, and it forms 2 double bonds with 2 oxygen atoms. Each double bond counts as an electron group, so there are 2 electron groups around the carbon atom.
3. Determine the hybridization: Since there are 2 electron groups, the hybridization of carbon is sp. The carbon atom uses 1 s orbital and 1 p orbital to form 2 sp hybrid orbitals, which are used to bond with the oxygen atoms.

In summary, the carbon atom in carbon dioxide has sp hybridization.

To know more about sp hybridization visit :

https://brainly.com/question/13598024

#SPJ11

write balanced reaction equations for the reacions involved a) when aspirin dissolves in aqueous NaHCO3 and b) when aspirin is precipitated from a sodium acetylsalicylate solution by HCl. assuming that both reactions are spontaneous under standard conditions, lable the stronger acid, stronger base, weaker acid, and weaker base in each equation.

Answers

While sodium acetylsalicylate is the weaker acid, HCl is the weaker base.

a)Aspirin (acetylsalicylic acid) + NaHCO3 (sodium bicarbonate) gives Sodium acetylsalicylate + CO2 + H2O is the reaction that occurs when aspirin (acetylsalicylic acid) dissolves in aqueous NaHCO3.

Since acetylsalicylic acid (aspirin) provides a proton (H+) to create sodium acetylsalicylate, it is the stronger acid in this reaction. Since NaHCO3 (sodium bicarbonate) takes the proton from acetylsalicylic acid, it is a stronger base. As a result, NaHCO3 is the weaker acid while Acetylsalicylic Acid is the weaker base.

b) Aspirin is precipitated by HCl when it is added to a sodium acetylsalicylate solution.

Sodium acetylsalicylate + HCl (hydrochloric acid) → Aspirin (acetylsalicylic acid) + NaCl

Since acetylsalicylic acid is formed when hydrochloric acid (HCl) contributes a proton (H+), it is the stronger acid. The more powerful base is sodium acetylsalicylate.

To learn more about sodium acetylsalicylate, visit:

https://brainly.com/question/27548374

#SPJ11

19.57 • starting with cyclopentanone and using any other reagents of your choosing, identify how you would prepare each of the following compounds:

Answers

Cyclopentanone can be used as a starting material to synthesize a range of compounds. One such example of a product that can be obtained from cyclopentanone is cyclopentanol. In this reaction, cyclopentanone is reduced to cyclopentanol, and a reducing agent is used to facilitate this process.

Sodium borohydride, for instance, is one such reducing agent that can be used. The reaction can be carried out by combining cyclopentanone with sodium borohydride in methanol. The reaction mixture can then be heated to reflux temperature. Afterward, the solution can be acidified with dilute hydrochloric acid. The resultant product can then be isolated by extraction with an organic solvent such as diethyl ether.In a similar fashion, cyclopentanone can also be used to prepare a range of other compounds. For instance, when cyclopentanone is treated with acetic anhydride, the resulting product is cyclopentyl acetate. This reaction is catalyzed by an acid such as sulfuric acid. The product can be obtained by distillation of the reaction mixture after neutralizing with sodium carbonate.Other reactions involving cyclopentanone as a starting material include the reaction with hydroxylamine to yield cyclopentanone oxime. This reaction is catalyzed by an acid such as sulfuric acid and is performed in a solvent such as ethanol. Cyclopentanone can also be reacted with sodium hypochlorite in water to yield cyclopentanone oxime. In this case, a product mixture is obtained, which can be separated by distillation. The distillate consists mainly of cyclopentanone oxime.

For more information on Cyclopentanone visit:

brainly.com/question/30456867

#SPJ11

If you added 4 vials of 2.5 mg/0.5mL Albuterol solution to your nebulizer, how much is the total dosage of the Tx? How much saline would have to be added to achieve a continuous Tx lasting 3 hours using a nebulizer with an output of 12 mL/hr.

Answers

Answer:you would need to add 36 mL of saline to achieve a continuous treatment lasting 3 hours using a nebulizer with an output of 12 mL/hr.

Explanation:

To calculate the total dosage of Albuterol solution, we need to multiply the concentration of the solution (2.5 mg/0.5 mL) by the total volume of the solution used (4 vials, assuming each vial is 0.5 mL):

Total dosage of Albuterol = (2.5 mg/0.5 mL) * (0.5 mL/vial) * 4 vials

Total dosage of Albuterol = 20 mg

Therefore, the total dosage of Albuterol solution is 20 mg.

To calculate the amount of saline that needs to be added for a continuous treatment lasting 3 hours, we can use the nebulizer's output rate of 12 mL/hr:

Amount of saline needed = Nebulizer output rate * Treatment duration

Amount of saline needed = 12 mL/hr * 3 hr

Amount of saline needed = 36 mL

To achieve a continuous treatment lasting 3 hours using the nebulizer with an output of 12 mL/hr, an additional 34 mL of saline solution would need to be added.

If each vial of Albuterol solution contains 2.5 mg in 0.5 mL, then adding 4 vials would result in a total dosage of 10 mg (2.5 mg/vial * 4 vials).

To achieve a continuous treatment lasting 3 hours using a nebulizer with an output of 12 mL/hr, we need to calculate the amount of saline solution that needs to be added.

The nebulizer has an output of 12 mL/hr, so over 3 hours, it would deliver a total volume of 12 mL/hr * 3 hrs = 36 mL.

Since we have already added the 4 vials of Albuterol solution, we subtract that volume from the total desired volume of 36 mL to determine how much saline needs to be added.

Therefore, the amount of saline to be added would be 36 mL - 2 mL (4 vials * 0.5 mL/vial) = 34 mL.

Know more about Nebulizer here:

https://brainly.com/question/31455646

#SPJ11

how many moles of gas would you have if you had a volume of 38.0l under a pressure of 1432 mmhg at standard temperature?

Answers

Approximately 0.988 moles of gas in a volume of 38.0 L under a pressure of 1432 mmHg at standard temperature.

To determine the number of moles of gas, we can use the ideal gas law equation: PV = nRT.

Where: P = pressure (in atm)

V = volume (in liters)

n = number of moles

R = ideal gas constant (0.0821 L·atm/(mol·K))

T = temperature (in Kelvin)

First, let's convert the given pressure from mmHg to atm: 1 atm = 760 mmHg 1432 mmHg * (1 atm / 760 mmHg) = 1.88421 atm. Next, we need to convert the given volume from liters to moles. Since we know the pressure, volume, and temperature, we can rearrange the ideal gas law equation to solve for the number of moles: n = PV / RT

Plugging in the values:

P = 1.88421 atm

V = 38.0 L

R = 0.0821 L·atm/(mol·K)

T = 273.15 K (standard temperature)

n = (1.88421 atm * 38.0 L) / (0.0821 L·atm/(mol·K) * 273.15 K). Calculating the expression: n = 0.988 mol. Therefore, you would have approximately 0.988 moles of gas in a volume of 38.0 L under a pressure of 1432 mmHg at standard temperature.

To learn more about gas:

https://brainly.com/question/13123721

#SPJ11

. would a parcel of air at 35 degrees c with a water vapor content of 17.5 g/kg be saturated or unsaturated? explain your answer.

Answers

To determine if the parcel of air is saturated or unsaturated, we need to compare the actual water vapor content (specific humidity) of the air with the maximum amount of water vapor it can hold at that temperature (saturation specific humidity).

First, let's convert the water vapor content from grams per kilogram (g/kg) to grams per gram (g/g) for easier comparison Water vapor content = 17.5 g/kg = 17.5 g/1000 g = 0.0175 g/gTo determine the saturation specific humidity, we need to consider the relationship between temperature and the maximum amount of water vapor air can hold, which is determined by the concept of relative humidity.Relative humidity (RH) is the ratio of the actual water vapor content of the air to the maximum water vapor content it can hold at a given temperature. When the air is saturated, RH is 100%.Since we know the temperature is 35 degrees Celsius, we can look up the saturation specific humidity at this temperature from a psychrometric chart or use equations that approximate it.Assuming a standard atmospheric pressure of 101.3 kPa, at 35 degrees Celsius, the saturation specific humidity is approximately 0.031 g/g.Now, we can compare the actual water vapor content (0.0175 g/g) with the saturation specific humidity (0.031 g/g)Actual water vapor content (0.0175 g/g) < Saturation specific humidity (0.031 g/g)Since the actual water vapor content is less than the saturation specific humidity, the parcel of air is unsaturated. This means that the air has not reached its maximum capacity to hold water vapor at 35 degrees Celsius and can still accommodate additional water vapor before becoming saturated.

To know more about saturated visit :

https://brainly.com/question/1851822

#SPJ11

omplete the reactions showing the transfer of glucose to a growing glycogen chain. choose the correct reactant or product to complete each equation.

Answers

Liver glycogen serves as a glucose reserve source to maintain blood glucose levels during fasting, while muscle glycogen is a critical fuel source for energy production during exercise. In this way, the reactions transfer glucose to a growing glycogen chain.

In order to complete the reactions showing the transfer of glucose to a growing glycogen chain, the correct reactant or product should be selected to complete each equation. Glycogen is an extensively branched glucose polymer, with chains of glucose residues linked to each other. Glycogen is an essential reserve material used to store energy by the human body. The reaction for the transfer of glucose to a growing glycogen chain is depicted as Glycogen (n residues) + Glucose-1-phosphate → Glycogen (n + 1 residues) + OrthophosphateThe reaction involves the formation of a covalent bond between the fourth carbon atom of a glucose molecule and a hydroxyl group from a glycogen chain. The resultant molecule is glucose-1-phosphate, and the reaction is catalyzed by glycogen synthase and stimulated by glycogen. Glycogen synthesis is an anabolic process that occurs in the liver and muscle. Liver glycogen serves as a glucose reserve source to maintain blood glucose levels during fasting, while muscle glycogen is a critical fuel source for energy production during exercise. In this way, the reactions transfer glucose to a growing glycogen chain.

To Know more about Liver glycogen visit:

brainly.com/question/31020647

#SPJ11

the formula for the illegal drug cocaine is c17h21no4(303.39 g/mol). what is the percentage of oxygen in the compound?

Answers

The formula for cocaine, an illegal drug, is C17H21NO4. The molecular weight is 303.39 g/mol.

To determine the percentage of oxygen in the compound, we need to calculate the molecular weight of oxygen and find out how many grams of oxygen are present in one mole of cocaine. Then we will divide the molecular weight of oxygen by the molecular weight of cocaine and multiply the result by 100. The percentage of oxygen in cocaine will be obtained after multiplying by 100.

Let's calculate the molecular weight of oxygen: Oxygen has an atomic weight of 16 g/mol. Therefore, the molecular weight of oxygen (O2) is: Molecular weight of O2 = 2(16) = 32 g/mol. Now let's calculate the molecular weight of cocaine: C = 12 × 17 = 204H = 1 × 21 = 21N = 14 × 1 = 14O = 16 × 4 = 64

Molecular weight of cocaine = C + H + N + O= 204 + 21 + 14 + 64= 303 g/mol.

Now we need to find the number of grams of oxygen in one mole of cocaine: There are four oxygen atoms in one mole of cocaine. Therefore, the number of grams of oxygen in one mole of cocaine is: Number of grams of O in one mole of cocaine = 4(16) = 64 g/mol

Finally, we can calculate the percentage of oxygen in cocaine: Percentage of O in cocaine = (64/303) × 100= 21.12%

Therefore, the percentage of oxygen in the cocaine compound is 21.12%.

To learn more about cocaine:

https://brainly.com/question/29871091

#SPJ11

what is the term for a molecular orbital that is at a higher energy than the atomic orbitals from which it is formed?

Answers

The term for a molecular orbital that is at a higher energy than the atomic orbitals from which it is formed is known as the anti-bonding orbital.

Molecular orbital theory (MOT) is a method for describing the behavior of molecules in quantum mechanics. The approach is based on the idea that each molecule has a collection of atomic orbitals with which it interacts to form molecular orbitals. The electrons in a molecule are distributed among these molecular orbitals, similar to the way they are distributed among atomic orbitals in an individual atom. These molecular orbitals may be described in terms of the bonding and anti-bonding orbitals.

Bonding orbitals are molecular orbitals that result from the interaction of atomic orbitals of similar energy levels. They are created by the constructive interference of the waves associated with each atomic orbital, resulting in a molecular orbital with a lower energy than the original atomic orbitals.

Anti-bonding orbitals are molecular orbitals that form from atomic orbitals of similar energy levels but out of phase. The waves that characterize these orbitals interfere destructively with each other, resulting in a molecular orbital with a higher energy than the original atomic orbitals.

To learn more about atomic visit;

https://brainly.com/question/1566330

#SPJ11

Other Questions
Using a sorting tree, put the words in the lyrics in alphabetical order words containing dashes are one word. Also, 7 9 1 10 18 5 7 4 2 12 5 into a balanced tree. Show step by step. Zip-a-dee-doo-dah, zip-a-dee-ay My, oh, my, what a wonderful day Plenty of sunshine headin' my way Zip-a-dee-doo-dah, zip-a-dee-ay! Nancy calculated her 2015 taxable income to be $120,450. Using the 2015 federal income tax brackets and rates, how much federal income tax should she report? 9.2 Parametric Equations Score: 2/5 3/5 answered Question 5 < > All of these problems concern a particle travelling around a circle with center (3, 4) and radius 2 at a constant speed. a) Find the par the three interactive factors included in bandura's concept of reciprocal determinism are 1) Find the equation of the line through the point (5,-4) perpendicular to the live with equationy = //x-28 That is Consider the function f(x) = 6 - 7x on the interval [ - 4, 3]. Find the average or mean slope of the function on this interval, i.e. (3) f( 4) / 3 ( 4) By the Mean Value Theorem, we know there exists a c in the open interval ( 4, 3) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Sonier Corporation's most recent balance sheet appears below: Comparative Balance Sheet Ending Balance Beginning Balance Assets: Cash and cash equivalents $ 47 $ 39 Accounts receivable 90 83 Inventory 72 69 Property, plant, and equipment 578 490 Less accumulated depreciation 254 218 Total assets $ 533 $ 463 Liabilities and stockholders' equity: Accounts payable $ 63 $ 61 Bonds payable 241 290 Common stock 39 35 Retained earnings 190 77 Total liabilities and stockholders' equity $ 533 $ 463 The net income for the year was $158. Cash dividends were $45. The company did not issue any bonds or repurchase any of its common stock during the year. The net cash provided by (used in) financing activities for the year was: Consider the relationship 5r + 8t = 5. a. Write the relationship as a function r = f(t). Enter the exact answer. a sin 6 f(t) = b. Evaluate f(-5). a 6 f(-5) = 122 Drag and drop each scenario to the appropriate animal mechanism of heat exchange with the environment. Conduction Convection Evaporation Radiation A dog panting to release excessive heat A person perspiring to cool down A person cooling down by facing a breeze on a warm day A snake warming up on a hot road near the end of the day A dog sitting in a hole it has dug for cooling down on a hot day A person cooling down by going for a swim in a lake cooler than the ai A person sitting in the sun to gain heat on a cool day For The Complex III In The Electron Transport Chain: Complex III Step 1: UQH2 Is Oxidized In A 2 Electron Process. an individual with a total blood cholesterol level of 290 milligrams (mg)/dl would be considered at low risk for cardiovascular disease. group of answer choices true false Ch. 10-Setting Profit Margins for Bidding 1. Determine the break-even volume of work for a company with a fixed overhead of $250,000 and a contribution margin of 11.3% Use log4 2 = 0.5, log4 3 0.7925, and log4 5 1. 1610 to approximate the value of the given expression. Enter your answer to four decimal places. log4 30 what is the coefficient of p2o5 when the following equation is balanced with small, whole-number coefficients? As far as you can tell, what company or organization does the website belong to (i.e.WebMD, MSNBC, Juice Diet, Inc., US Department of Agriculture, etc). (1 pt)3. What is the extension on the web address (i.e. org, gov, com, etc)? (1 pt)4. Is the site promoting a specific product or just supplying information? (1 pt)5. Briefly review the information on the website. Does the information seem inline with the information you learned in Section 4.1 on nutrition? Explain. (1 pt)6. As far as you can tell, is the information based on scientific facts and from credible resources? (1 pt)7. In terms of credibility, would you rate this website as very credible, moderately credible, or probably not very credible. Explain your reasoning. (2 pts)Website #2:1. What is the URL (http:// address) of the website? (1 pt)2. As far as you can tell, what company or organization does the website belong to (i.e. WebMD, MSNBC, Juice Diet, Inc., US Department of Agriculture, etc). (1 pt) please help me today is the last day everything has to be done today The local chapter of the National Honor Society offers after school tutoring, but the sessions are not well attended. Hoping to increase attendance, the tutors design a survey to gauge student interest in times, locations, and days of the week that students could attend tutoring sessions. They randomly choose 10 students from each grade to take the survey. What type of sample is this? a. Strated Random Sample b. Simple Random Samplec. Cluster random sample d. stematic Random Sample Out of a team of 30 track and field athletes, 20 athletes compete in track events, 15 athletes compete in field events, and 7 compete in both track and field events. All other students are record keepers. Display the data in a Venn Diagram and determine the number of students who are record keepers. Marking Scheme (out of 3) [A:3] 2 marks for filling in the Venn Diagram with correct labeling . 1 mark for stating the total number of record keepers True or FalseA strategy focuses on how to execute and implement a marketingplan Obtain a parametrization for the surface z = x2 + y2, z = 10 Answer 2 Points Or(s, t) = (scost, ssint, s2), 0 SS S 10,0 Sis 210 Or(s, t) (scost, ssint, s), 0 B. The cost of manufacturing pocket hand sanitizers for guests at a hotel is $30,000 for start-up and $250 per sanitizer. i. Write an equation to describe the cost (C) of manufacturing n hand sanitizers. (2 marks) ii. Identify any ordered pair from the equation and write a sentence that describes its meaning. (2 marks)