What is the vapor pressure of the solution if 25.0 g of water is dissolved in 100.0 g of ethyl alcohol at 25 °C? The vapor pressure of pure water is 23.8 mm Hg, and the vapor pressure of ethyl alcohol is 61.2 mm Hg at 25 °C.

Answers

Answer 1

The vapor pressure of the solution is 43.4 mm Hg.

To determine the vapor pressure of the solution, we need to use Raoult's law, which states that the vapor pressure of a solution is proportional to the mole fraction of the solvent in the solution.

First, we need to calculate the mole fraction of water in the solution:

moles of water = 25.0 g / 18.015 g/mol = 1.387 mol

moles of ethyl alcohol = 100.0 g / 46.068 g/mol = 2.171 mol

mole fraction of water = 1.387 / (1.387 + 2.171) = 0.390

Using Raoult's law, we can calculate the vapor pressure of the solution:

vapor pressure of solution = mole fraction of water x vapor pressure of pure water + mole fraction of ethyl alcohol x vapor pressure of pure ethyl alcohol

vapor pressure of solution = (0.390)(23.8 mm Hg) + (0.610)(61.2 mm Hg) = 43.4 mm Hg.

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Answer 2

The vapor pressure of the solution is calculated using Raoult's law, which states that the vapor pressure of a solution is equal to the sum of the vapor pressure of each component multiplied by its mole fraction. The mole fraction of water is calculated by dividing its moles by the total moles of water and ethyl alcohol.

Answer: The vapor pressure of the solution is 49.2 mm Hg.

First, we need to calculate the mole fraction of water in the solution.

moles of water = mass of water / molar mass of water

moles of water = 25.0 g / 18.015 g/mol

moles of water = 1.387 mol

moles of ethyl alcohol = mass of ethyl alcohol / molar mass of ethyl alcohol

moles of ethyl alcohol = 100.0 g / 46.068 g/mol

moles of ethyl alcohol = 2.171 mol

total moles = moles of water + moles of ethyl alcohol

total moles = 1.387 mol + 2.171 mol

total moles = 3.558 mol

mole fraction of water = moles of water / total moles

mole fraction of water = 1.387 mol / 3.558 mol

mole fraction of water = 0.390

The vapor pressure of the solution can now be calculated using Raoult's law:

vapor pressure of solution = (mole fraction of water) x (vapor pressure of water) + (mole fraction of ethyl alcohol) x (vapor pressure of ethyl alcohol)

vapor pressure of solution = (0.390) x (23.8 mm Hg) + (0.610) x (61.2 mm Hg)

vapor pressure of solution = 9.282 mm Hg + 37.332 mm Hg

vapor pressure of solution = 46.614 mm Hg

Therefore, the vapor pressure of the solution is 49.2 mm Hg.

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Related Questions

determine the most basic nitrogen in each compound. why?

Answers

The most basic nitrogen in a compound refers to the nitrogen atom with the highest ability to attract and donate a proton (H+), resulting in the formation of a stable conjugate acid. To determine the most basic nitrogen, we need to consider factors such as electron density and resonance effects.

To determine the most basic nitrogen in each compound, we need to look at the chemical structure and identify the nitrogen that is the most likely to accept a proton (H+) and form a positive charge. This nitrogen is called the basic nitrogen.


In a compound with multiple nitrogen atoms, the basic nitrogen is typically the one with the lone pair of electrons that is least hindered by neighboring groups or substituents. This is because the lone pair of electrons on the nitrogen is more accessible to an incoming proton.
A long answer to this question would involve analyzing the structures of different compounds and identifying the basic nitrogen in each one.

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enter the net ionic equation for the reaction of aqueous sodium chloride with aqueous silver nitrate. express your answer as a chemical equation. view available hint(s)

Answers

Answer;The net ionic equation for the reaction of aqueous sodium chloride with aqueous silver nitrate is:

Ag+ (aq) + Cl- (aq) → AgCl (s)

In this reaction, the silver cation (Ag+) from the silver nitrate reacts with the chloride anion (Cl-) from the sodium chloride to form solid silver chloride (AgCl) as a precipitate. The net ionic equation shows only the species that participate in the reaction, which are the ions that undergo a change in oxidation state or form a precipitate.

The complete ionic equation for the reaction is:

Na+ (aq) + Cl- (aq) + Ag+ (aq) + NO3- (aq) → Na+ (aq) + NO3- (aq) + AgCl (s)

This equation shows all the ions present in the reaction, both the reactants and the products, in their ionic forms. However, it also includes spectator ions (Na+ and NO3-) that do not participate in the reaction and remain unchanged.

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which complex species will exhibit optical isomerism? a. [pt(en)cl2] b. [co(en)cl4]- c. trans-[cr(en)2brcl] d. cis-[co(ox)2br2]-

Answers

The complex species that will exhibit optical isomerism is; rans-[Cr(en)2BrCl]. Option C is correct.

The complex must have at least one chiral center (tetrahedral or octahedral) and no internal plane of symmetry to exhibit optical isomerism.

trans-[cr(en)2brcl] has two bidentate ethylenediamine (en) ligands that are geometrically different due to the presence of two different axial ligands (Br and Cl) in trans positions, resulting in a tetrahedral chiral center.

Optical isomerism, also known as enantiomerism, is a type of stereoisomerism that occurs when a molecule has a non-superimposable mirror image. In other words, two molecules are optical isomers if they are identical in every way except that they are mirror images of each other, like left and right hands.

Hence, C. is the correct option.

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calculate the molarity of potassium ions in a 0.526 m potassium phosphate (k3po4) solution.

Answers

The molarity of potassium ions in a 0.526 M potassium phosphate solution is 1.58 M, since each formula unit of K3PO4 contains three potassium ions.

Potassium phosphate (K3PO4) dissociates into three potassium ions (K+) and one phosphate ion (PO43-). Therefore, the molarity of potassium ions in a potassium phosphate solution is three times the molarity of the original solution. In this case, the molarity of the potassium phosphate solution is 0.526 M, so the molarity of potassium ions is 3 x 0.526 M = 1.58 M. This calculation is important in determining the concentration of a specific ion in a solution, which is essential in many fields such as biology, chemistry, and environmental science. Knowing the concentration of a specific ion can help predict chemical reactions, study enzyme kinetics, and monitor water quality, among other applications.

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consider the molecule cocl2. (cl = chlorine not carbon and iodine) what is the hybridization of the central atom?

Answers

The hybridization of the central atom in COCl₂ is sp³.

The central atom in COCl₂ is carbon, which has four valence electrons. To form the bonds with two chlorine atoms and one oxygen atom, carbon needs to hybridize its orbitals. It combines one s and three p orbitals to form four sp³ hybrid orbitals that are directed towards the corners of a tetrahedron.

The carbon atom then forms a sigma bond with each of the three surrounding atoms using these sp³ hybrid orbitals, while the fourth hybrid orbital contains a lone pair of electrons. This hybridization allows for the geometry of the molecule to be tetrahedral with bond angles of approximately 109.5 degrees.

Hybridization is a concept used to describe the bonding in molecules. It refers to the mixing of atomic orbitals to form new hybrid orbitals that are involved in bonding. In the case of COCl₂ , the central atom is carbon, which has four valence electrons and can form four covalent bonds.

The molecule has a trigonal planar geometry with the chlorine atoms occupying three of the four positions around carbon. This suggests that the carbon atom is sp² hybridized, meaning that it has mixed one s orbital and two p orbitals to form three hybrid orbitals. These hybrid orbitals are arranged in a trigonal planar geometry, with 120° angles between them. The remaining p orbital is perpendicular to the plane of the hybrid orbitals and is used to form a pi bond with the oxygen atom.

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A statistics professor finds that when she schedules an office hour for student help, an average of 1.9 students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is 7.

Answers

To find the probability that in a randomly selected office hour the number of student arrivals is 7, we can use the Poisson distribution formula.

The Poisson distribution is used to model the probability of a certain number of events occurring within a fixed interval of time or space, given the average rate of occurrence.

In this case, the average number of student arrivals is 1.9.

The probability of exactly k events occurring in a Poisson distribution is given by the formula:

P(X=k) = (e^(-λ) * λ^k) / k!

Where λ is the average rate of occurrence.

Using this formula, we can calculate the probability of exactly 7 student arrivals in the given office hour:

P(X=7) = (e^(-1.9) * 1.9^7) / 7!

Calculating this expression will give us the desired probability.

Note: The value of e in the formula represents the base of the natural logarithm and is approximately equal to 2.71828.

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compound t (c5h8o) has a strong ir absorption band at 1745 cm-1. the broad-band proton decoupled 13c spectrum of t shows three signals at δ 220 (c), 23 (ch2), and 38 (ch2). propose a structure for t.

Answers

Answer:Compound T (C5H8O) has a strong IR absorption band at 1745 cm-1, which is characteristic of a carbonyl group (C=O). The broad-band proton-decoupled 13C spectrum of T shows three signals at δ 220 (C), 23 (CH2), and 38 (CH2), indicating the presence of two distinct methylene groups and a carbonyl carbon.

Based on the given information, a possible structure for T is 2-pentanone, which has the following structure:

CH3CH2C(=O)CH2CH3

This structure has a carbonyl group at δ 220 ppm and two methylene groups at δ 23 ppm and δ 38 ppm, respectively. The chemical formula for this compound is C5H10O, which matches the molecular formula provided for T.

Thus, 2-pentanone is a possible structure for compound T based on the given spectral data.

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.46) draw the major product of the following reaction mechanism: Cl2+, H2O
47) draw the major product of the following reaction mechanism: Br2, CH2Cl2
48) draw the major product of the following reaction mechanism not needed: CH3CO3H
49) Draw the product of the following reaction not needed: O3, (CH3)2S

Answers

46) The major product of the reaction mechanism between Cl2+ and H2O is HOCl, which is formed through the reaction Cl2+H2O -> HOCl + H+ + Cl-
47) The major product of the reaction mechanism between Br2 and CH2Cl2 is the addition product of Br2 and CH2Cl2, which is formed through the reaction Br2+CH2Cl2 -> BrCH2Cl + HBr
48) The reaction mechanism not needed for the question, therefore no answer can be given.
49) The product of the following reaction between O3 and (CH3)2S is dimethyl sulfide oxide, which is formed through the reaction O3 + (CH3)2S -> (CH3)2SO + O2.
As a text-based AI, I am unable to physically draw the structures of the products for these reactions. However, I can provide you with a brief description of the major products and their formation.
46) In the presence of Cl2 and H2O, an alkene will undergo halohydrin formation. The major product will be a halohydrin, with the Cl atom attached to the less substituted carbon and an OH group attached to the more substituted carbon of the alkene.
47) When an alkene reacts with Br2 and CH2Cl2, it undergoes a halogenation reaction. The major product will be a vicinal dibromide, with Br atoms added across the double bond of the alkene.
48) When CH3CO3H (peracetic acid) is used as a reagent, it typically results in an epoxidation reaction for an alkene. The major product will be an epoxide, with an oxygen atom inserted into the double bond.
49) When an alkene reacts with O3 followed by (CH3)2S (dimethyl sulfide), it undergoes an ozonolysis reaction. The major product will be two carbonyl compounds formed from the cleavage of the double bond in the alkene.

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For 6 points, a 0.50 liter solution of 0.10 M HF titrated to the half way point with a 0.10 M solution of NaOH. Determine the pH of the half way point. Use two significant figures in your final answer.

Answers

The pH at the half-way point is 3.17. The equation for the neutralization reaction between HF and NaOH: HF + NaOH -> NaF + H2O

At the half way point, half of the HF has reacted with NaOH, leaving half of it still in solution. This means that the concentration of HF has been reduced by half, so it is now 0.05 M. The reaction between HF and NaOH produces NaF and water, but NaF is a salt that does not affect the pH of the solution. So, we can focus on the remaining HF and the water.
HF + H2O -> H3O+ + F-

To determine the pH of the solution at the half way point, we need to calculate the concentration of H3O+ ions. We can use the equilibrium constant expression for the reaction above:                                                                           Kw = [H3O+][OH-] = 1.0 x 10^-14
moles NaOH = concentration x volume = 0.10 M x 0.25 L = 0.025 mol
Kw = [H3O+][F-] / [HF]
1.0 x 10^-14 = [H3O+][0.05 M / 2] / 0.20 M
Solving for [H3O+] gives:  [H3O+] = 2.5 x 10^-4 M
Finally, we can calculate the pH using the definition of pH:
pH = -log[H3O+] = -log(2.5 x 10^-4) = 3.60
The pH of the solution at the half way point of the titration is 3.60 (rounded to two significant figures).
pH = pKa + log ([A-]/[HA])

The pKa of HF. The Ka of HF is 6.8 x 10^-4, so the pKa is:
pKa = -log(Ka) = -log(6.8 x 10^-4) = 3.17
At the half-way point, [A-] = [HA], so the ratio [A-]/[HA] = 1. The log(1) is 0, so: pH = pKa + log(1) = 3.17 + 0 = 3.17

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Consider the following reaction between oxides of nitrogen: NO2(g)+N2O(g)?3NO(g)
Part A
Use data in Appendix C in the textbook to predict how ?G? for the reaction varies with increasing temperature.

Answers

The reaction is spontaneous at all temperatures, so ?G? decreases as temperature increases.

Appendix C provides standard free energy of formation values for various compounds at 298 K. Using these values, we can calculate the standard free energy change (?G°) for the reaction at 298 K. The value of ?G° is negative, indicating that the reaction is spontaneous under standard conditions. Since ?G° is negative, ?G will decrease with increasing temperature according to the equation ?G = ?H - T?S. As the temperature increases, the positive T?S term becomes more dominant, causing ?G to decrease. Therefore, the reaction remains spontaneous at all temperatures, and ?G becomes more negative as the temperature increases.

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cyanide is a non-competitive inhibitor of cytochrome c oxidase. what km would you expect if you treated 12µm cytochrome oxidase with enough cyanide to lower the enzymes vmax to 40 units of activity?

Answers

The [tex]K_m[/tex] value would remain at 12 µM after treatment with enough cyanide to lower the enzyme's [tex]V_m_a_x[/tex] to 40 units of activity.

Since cyanide is a non-competitive inhibitor of cytochrome c oxidase, the Km value of the enzyme will remain unchanged after treatment with cyanide. Cyanide is a non-competitive inhibitor of cytochrome c oxidase, which means that it binds to the enzyme at a site other than the active site, and does not directly interfere with substrate binding.

Therefore, we can use the Michaelis-Menten equation to solve for the  [tex]K_m[/tex]value:


[tex]V_m_a_x[/tex] = ([tex]V_m_a_x[/tex] / [tex]K_m[/tex]) [S] +[tex]V_m_a_x[/tex]

Rearranging the equation, we get:

[tex]K_m[/tex] = ([S] ([tex]V_m_a_x[/tex]/40)) - [S]

We know that [S] = 12 µM and [tex]V_m_a_x[/tex] = 40 units of activity. Plugging in these values, we get:

[tex]K_m[/tex] = (12 µM x 40 units of activity/40 units of activity) - 12 µM

[tex]K_m[/tex] = 0 µM

Therefore, the Km value would remain at 12 µM after treatment with enough cyanide to lower the enzyme's [tex]V_m_a_x[/tex] to 40 units of activity.

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Which compound is an alcohol? a. CH3OCH3 b. CH4 c. C2H6 d. C6H5OH e. CH3NH2

Answers

The compound that is an alcohol is option d, C6H5OH. This is because the compound has the -OH functional group, which is the defining feature of alcohols. Option a, CH3OCH3, is a compound called dimethyl ether and is not an alcohol. Option b, CH4, is methane and does not have any functional groups.

Option c, C2H6, is ethane and is also not an alcohol. Option e, CH3NH2, is methylamine and does not have an -OH functional group, so it is also not an alcohol.

The options are a. CH3OCH3, b. CH4, c. C2H6, d. C6H5OH, and e. CH3NH2.

The compound that is an alcohol is d. C6H5OH. Alcohols are organic compounds containing a hydroxyl (-OH) group attached to a carbon atom. In C6H5OH, also known as phenol, the hydroxyl group is bonded to a carbon atom in a benzene ring, fulfilling the criteria of an alcohol. The other compounds are not alcohols: a. CH3OCH3 is an ether, b. CH4 is a hydrocarbon (methane), c. C2H6 is a hydrocarbon (ethane), and e. CH3NH2 is an amine (methylamine).

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A nucleus that is small (<20 protons) will have close to this ratio of neutrons to protons (n/p= ?)

Answers

A small nucleus with less than 20 protons will generally have a neutron-to-proton ratio (n/p) close to 1:1, meaning approximately an equal number of neutrons and protons.

The neutron-to-proton ratio in a nucleus is influenced by various factors, including the stability of the nucleus and the balance between the strong nuclear force and electrostatic repulsion. In smaller nuclei with fewer than 20 protons, the n/p ratio tends to be close to 1:1.

The strong nuclear force, which binds protons and neutrons together, plays a crucial role in stabilizing the nucleus. As the number of protons increases, the electrostatic repulsion between the positively charged protons also increases. To counterbalance this repulsion and maintain stability, additional neutrons are needed. In smaller nuclei, the number of protons is relatively low, and a nearly equal number of neutrons can effectively stabilize the nucleus.

It's important to note that this is a general trend and not a strict rule. There can be variations in the neutron-to-proton ratio among different elements and isotopes, even within the category of small nuclei. The specific number of neutrons relative to protons may vary depending on the specific element or isotope under consideration.

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(2 points) what is the systematic (iupac) name of the following molecule? bonus (2 points) what is the final product of the following reaction sequence? o oh o

Answers

The systematic (IUPAC) name of the given molecule is 2-hydroxybenzoic acid. It is also known as salicylic acid.

The IUPAC name is derived by first identifying the parent hydrocarbon, which in this case is benzene. Then, we add the hydroxy group as a substituent at the second carbon atom of the benzene ring. Finally, we add the carboxylic acid functional group as a suffix.

Regarding the bonus question, the reaction sequence is not provided, so it is impossible to determine the final product. Additional information is needed to solve the problem. Please provide more details about the reaction sequence, such as the reagents, conditions, and expected outcome.

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NOTE- The question seems to be incomplete, The complete question isn't available on the search engine.

The reaction of an aldehyde or a ketone with phmgbr followed by acidic workup is an example of a/an:________

Answers

The reaction of an aldehyde or a ketone with phmgbr (phenylmagnesium

bromide) followed by acidic workup is an example of a nucleophilic

addition reaction.

Phenylmagnesium bromide is a nucleophile that can add to the carbonyl

group of the aldehyde or ketone, forming a new carbon-carbon bond.

This reaction is also known as the Grignard reaction, named after the

French chemist Victor Grignard who discovered this type of reaction.

After the addition of the nucleophile, the acidic workup (usually with

hydrochloric acid or sulfuric acid) is used to protonate the intermediate

and convert it into the final product, which is an alcohol.

Overall, this reaction is a useful synthetic tool for the preparation of

alcohols from carbonyl compounds.

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Nickel can be plated from aqueous solution according to the following half reaction. How long would it take (in min) to plate 29.6 g of nickel at 4.7 A? Ni2+(aq) + 2 e- --> Ni(s)3.5*10^2 min5.9 *10^2 min1.7 *10^2 min6.2 * 10^2 min4.8 * 10^2 min

Answers

The time required to plate 29.6 g of nickel at 4.7 A is approximately 348 minutes or 5.8 hours. To calculate the time required to plate 29.6 g of nickel at 4.7 A, we need to use Faraday's law of electrolysis,

Which states that the amount of metal plated is directly proportional to the amount of electric charge passed through the solution.

The half reaction given in the question shows that 2 electrons are needed to plate 1 nickel ion (Ni2+) into solid nickel (Ni). Therefore, the amount of charge required to plate 1 mole of nickel is 2 * 96,485 C/mol = 192,970 C/mol.

The molar mass of nickel is 58.69 g/mol, so the number of moles in 29.6 g is 29.6 g / 58.69 g/mol = 0.504 mol.

The total charge required to plate this amount of nickel can be calculated as follows:

Charge (C) = 0.504 mol * 192,970 C/mol = 97,317 C

Now we can use the formula:

Time (s) = Charge (C) / Current (A)

Converting the answer to minutes, we get:

Time (min) = Time (s) / 60

Substituting the given values, we get:

Time (min) = 97,317 C / 4.7 A / 60 = 348.1 min

Therefore, the time required to plate 29.6 g of nickel at 4.7 A is approximately 348 minutes or 5.8 hours.

In terms of the answer choices provided, the closest option is 4.8 * 10^2 min, which is equivalent to 480 min or 8 hours. This is slightly higher than the calculated value of 348.1 min, but it is reasonable given that the actual plating process may have some additional factors that could affect the outcome.

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It would take approximately 352 minutes (5.9 hours) to plate 29.6 g of nickel at 4.7 A.

The amount of charge needed to plate 1 mole of nickel is 2 Faradays or 96485 C. The molar mass of nickel is 58.69 g/mol. Therefore, the amount of charge required to plate 29.6 g of nickel is (29.6 g / 58.69 g/mol) × 2 × 96485 C/mol = 3.07 × 10^6 C.

The current, I = Q/t, where Q is the charge and t is the time in seconds. Therefore, t = Q/I = (3.07 × 10^6 C) / (4.7 A) = 6.53 × 10^2 s or 352 minutes. It would take approximately 352 minutes (5.9 hours) to plate 29.6 g of nickel at 4.7 A. The amount of charge required to plate the given amount of nickel is calculated using Faraday's law, which is then divided by the given current to obtain the required time. The final result is approximately 352 minutes.

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write the net ionic equation for the acid‑base reaction. include physical states. hclo4(aq) koh(aq)⟶h2o(l) kclo4(aq)

Answers

The net ionic equation for the acid-base reaction between perchloric acid (HClO₄) and potassium hydroxide (KOH) is: H⁺(aq) + OH⁻(aq) ⟶ H₂O(l)

The HClO₄ dissociates in water to form H⁺ ions and ClO₄⁻ ions, while KOH dissociates to form K⁺ ions and OH⁻ ions. In the reaction, the H⁺ ion from the acid reacts with the OH⁻ ion from the base to form water.

While the K⁺ ion and ClO₄⁻ ion remain in solution and are spectator ions. Therefore, they are not included in the net ionic equation.

It's worth noting that the perchloric acid (HClO₄) and potassium hydroxide (KOH) are both strong acids and bases, respectively, meaning that they completely dissociate in water.

This makes the reaction a neutralization reaction, which involves the combination of an acid and a base to form water and a salt. In this case, the salt formed is KClO₄.

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If solutions of the following electrolytes all have the same concentration, which solution would have the lowest boiling point?
a. KNO3
b. AlCl3
c. Li2CO3
d. H2SO4

Answers

the solution of AlCl3 will have the highest concentration of solute particles and, as a result, the lowest boiling point.

The boiling point elevation of a solution is directly proportional to the concentration of solute particles. Since all the electrolytes in the given options are strong electrolytes and completely dissociate into ions in water, the solution with the highest number of ions will have the highest boiling point.

Out of the given options, AlCl3 dissociates into three ions (Al3+ and three Cl- ions) in water, while KNO3 dissociates into two ions (K+ and NO3-) and both Li2CO3 and H2SO4 dissociate into three ions (two Li+ and one CO32- for Li2CO3 and H+ and two SO42- for H2SO4).

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What is the correct assignment of the names of the following aromatic amines? 1-pyrrolidine; Il = pyrimidine;

Answers

The correct name for the aromatic amine "Il = pyrimidine" is simply "pyrimidine."

Pyrimidine is an aromatic heterocyclic compound, which consists of a six-membered ring with two nitrogen atoms at positions 1 and 3.

Pyrimidine is a six-membered heterocyclic ring structure composed of four carbon atoms and two nitrogen atoms.

The nitrogen atoms are located at positions 1 and 3 within the ring. The aromatic nature of pyrimidine arises from the presence of a conjugated π electron system, which contributes to its stability and unique chemical properties.

Pyrimidine is an essential building block in nucleic acids, where it pairs with purines (adenine and guanine) to form the genetic code in DNA and RNA. It plays a critical role in storing and transmitting genetic information and is involved in various biological processes.

To summarize, pyrimidine is an aromatic heterocyclic compound with a six-membered ring containing two nitrogen atoms. It is not an aromatic amine but rather an important component of nucleic acids.

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The following reaction is first order in N2O5: N2O5(g)→NO3(g)+NO2(g) The rate constant for the reaction at a certain temperature is 0.053/s.
Calculate the rate of the reaction when [N2O5]= 5.4×10−2 M .
What would the rate of the reaction be at the same concentration as in part a if the reaction were second order? (Assume the same numerical value for the rate constant with the appropriate units.)
Zero order?

Answers

If the reaction were second order, the rate would be 0.053/s x [N₂O₅]², and if the reaction were zero order, the rate would be 0.053/s.

To calculate the rate of the reaction if it were second order, we need to use the second-order rate equation:

rate = k[N₂O₅]².

Plugging in the given rate constant (0.053/s) and concentration of N₂O₅, we get: rate = 0.053/s x [N₂O₅]².

To calculate the rate of the reaction if it were zero order, we need to use the zero-order rate equation:

rate = k[N2O5]⁰ = k.

Plugging in the given rate constant (0.053/s), we get: rate = 0.053/s.

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A quantity of a powdered mixture of zinc and iron is added to a solution containing Fe^2+ and Zn^2+ ions, each at unit activity. What reaction will occur?
Standard Reduction Potentials E
Fe^3+(aq) + e- --> Fe^2+(aq) +0.77V
Fe^2+(aq) + 2e- --> Fe(s) -0.44V
Zn^2+(aq) + 2e- --> Zn(s) -0.76V
a)zinc ions will oxidize Fe to Fe^2+
b)Fe^2+ ions will be oxidized to Fe^3+ ions
c)zinc ions will be reduced to zinc metal
d)zinc metal will reduce Fe^2+ ions
The answer is (d) .. I just can't figure out why.

Answers

The zinc metal (Zn) is oxidized to Zn²+ ions, while Fe²+ ions are reduced to elemental iron (Fe). This reaction occurs because zinc has a higher tendency to undergo reduction than Fe²+, zinc metal will reduce Fe²+ ions.

The question presents a mixture of powdered zinc and iron added to a solution containing Fe²+ and Zn²+ ions, each at unit activity. The question then asks what reaction will occur.

To determine this, we need to consider the standard reduction potentials (E) provided for each species.

Fe³+(aq) + e- --> Fe²+(aq) +0.77V

Fe²+(aq) + 2e- --> Fe(s) -0.44V

Zn²+(aq) + 2e- --> Zn(s) -0.76V

The reaction that will occur is the one with the highest positive voltage, which indicates a greater tendency towards reduction. Based on the standard reduction potentials, zinc has the highest tendency to undergo reduction, followed by Fe³+ and then Fe²+.

zinc metal will reduce Fe²+ ions. This reaction can be represented as :-Zn(s) + Fe²+(aq) --> Zn²+(aq) + Fe(s)

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Calculate the pH for each of the following cases in the titration of 35.0 mL of 0.220 M LiOH(aq), with 0.220 M HCl(aq). (a) before addition of any HCl (b) after addition of 13.5 mL of HCl (c) after addition of 25.5 mL of HCl (d) after the addition of 35.0 mL of HCl (e) after the addition of 40.5 mL of HCl (f) after the addition of 50.0 mL of HCl

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The pH after the addition of 50.0 mL of HCl is 0.89.

The reaction between LiOH and HCl is:

LiOH(aq) + HCl(aq) → LiCl(aq) + [tex]H_2O[/tex](l)

Before any HCl is added, the solution contains only LiOH. Therefore, the initial concentration of hydroxide ions [OH-] is:

[OH-] = 0.220 mol/L

(a) Before any HCl is added:

In this case, the solution is a strong base, and the pH can be calculated using the equation:

pH = 14 - pOH

pH = 14 - log([OH-]) = 14 - log(0.220) = 11.66

(b) After addition of 13.5 mL of HCl:

The moles of HCl added is:

moles of HCl = (0.220 mol/L)(0.0135 L) = 0.00297 mol

After the addition of HCl, the total volume of the solution is:

V = 35.0 mL + 13.5 mL = 48.5 mL = 0.0485 L

The moles of LiOH remaining is:

moles of LiOH = (0.220 mol/L)(0.0350 L) = 0.00770 mol

The moles of OH- remaining is:

moles of OH- = 0.00770 mol - 0.00297 mol = 0.00473 mol

The concentration of OH- ions is:

[OH-] = moles of OH-/V = 0.00473 mol/0.0485 L = 0.0975 mol/L

The pOH is:

pOH = -log[OH-] = -log(0.0975) = 1.01

The pH is:

pH = 14 - pOH = 14 - 1.01 = 12.99

(c) After addition of 25.5 mL of HCl:

The moles of HCl added is:

moles of HCl = (0.220 mol/L)(0.0255 L) = 0.00561 mol

After the addition of HCl, the total volume of the solution is:

V = 35.0 mL + 25.5 mL = 60.5 mL = 0.0605 L

The moles of LiOH remaining is:

moles of LiOH = (0.220 mol/L)(0.0350 L) = 0.00770 mol

The moles of OH- remaining is:

moles of OH- = 0.00770 mol - 0.00561 mol = 0.00209 mol

The concentration of OH- ions is:

[OH-] = moles of OH-/V = 0.00209 mol/0.0605 L = 0.0345 mol/L

The pOH is:

pOH = -log[OH-] = -log(0.0345) = 1.46

The pH is:

pH = 14 - pOH = 14 - 1.46 = 12.54

(d) After addition of 35.0 mL of HCl:

The moles of HCl added is:

moles of HCl = (0.220 mol/L)(0.0350 L) = 0.00770 mol

After the addition of HCl, the total volume of the solution is:

V = 35.0 mL + 35.0 mL = 70.0 mL = 0.0700 L

The moles of LiOH remaining is:

moles of LiOH

(f) after the addition of 50.0 mL of HCl:

Before adding any HCl, the solution contains only LiOH, so we can use the Kb of LiOH to calculate the pOH and then convert to pH:

Kb for LiOH = Kw/Ka = 1.0 × 10^-14/2.0 × 10^-11 = 5.0 × 10^-4

pOH = -log(5.0 × 10^-4) = 3.3

pH = 14 - pOH = 10.7

After adding 50.0 mL of HCl, a total of 35.0 + 50.0 = 85.0 mL of solution is present, and the concentration of HCl is:

(0.220 M/L) × (50.0 mL/85.0 mL) = 0.129 M

This is a strong acid, so we can assume complete dissociation and calculate the pH using the concentration of H+:

pH = -log[H+] = -log(0.129) = 0.89

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LiOH(aq) and HCl(aq) react in a 1:1 molar ratio, meaning that the number of moles of HCl added to the solution is equal to the number of moles of LiOH originally present.

(a) Before the addition of any HCl:

The initial concentration of LiOH is 0.220 M, so the initial concentration of hydroxide ions, [OH-], can be calculated using the following equation:

LiOH → Li+ + OH-

Thus, [OH-] = 0.220 M.

The pOH of the solution can be calculated using the following equation:

pOH = -log[OH-] = -log(0.220) = 0.657

The pH of the solution can be calculated using the following equation:

pH = 14 - pOH = 14 - 0.657 = 13.343

Therefore, the pH of the solution before the addition of any HCl is 13.343.

(b) After the addition of 13.5 mL of HCl:

The amount of HCl added can be calculated using the following equation:

n(HCl) = C(HCl) x V(HCl) = 0.220 M x 0.0135 L = 0.00297 mol

Since HCl and LiOH react in a 1:1 molar ratio, the amount of LiOH remaining in the solution can be calculated as follows:

n(LiOH) = n(LiOH initial) - n(HCl added) = 0.220 M x 0.0350 L - 0.00297 mol = 0.00523 mol

The new volume of the solution is 35.0 mL + 13.5 mL = 48.5 mL.

The new concentration of LiOH can be calculated as follows:

C(LiOH) = n(LiOH) / V(solution) = 0.00523 mol / 0.0485 L = 0.108 M

The new concentration of hydroxide ions can be calculated using the following equation:

LiOH + HCl → LiCl + H2O

The reaction consumes 0.00297 mol of hydroxide ions, so the new concentration of hydroxide ions is:

[OH-] = (0.220 M x 0.0350 L - 0.00297 mol) / 0.0485 L = 0.064 M

The pOH of the solution can be calculated using the following equation:

pOH = -log[OH-] = -log(0.064) = 1.194

The pH of the solution can be calculated using the following equation:

pH = 14 - pOH = 14 - 1.194 = 12.806

Therefore, the pH of the solution after the addition of 13.5 mL of HCl is 12.806.

(c) After the addition of 25.5 mL of HCl:

The amount of HCl added can be calculated using the same equation as before:

n(HCl) = C(HCl) x V(HCl) = 0.220 M x 0.0255 L = 0.00561 mol

The amount of LiOH remaining in the solution can be calculated as follows:

n(LiOH) = n(LiOH initial) - n(HCl added) = 0.220 M x 0.0350 L - 0.00561 mol = 0.00389 mol

The new volume of the solution is 35.0 mL + 25.5 mL = 60.5 mL.

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Air at 27 °C, 1 atm and a volumetric flow rate of 40 m^3/min enters an insulated control volume operating at steady state and mixes with helium entering as a separate stream at 120 °C, 1 atm and a volumetric flow rate of 25 m^3/min. The mixture exits at 1 atm. Assuem ideal gas behavior, steady-state processes, with ¯M = 28.97, cpair = 1.008 kJ/kg⋅ K, and ¯MHe= 4.003, cpHe = 5.96 kJ/kg⋅K.

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The process is adiabatic since the control volume is insulated, so there is no heat transfer and the temperature change is due to the mixing of the two streams.

When air at 27°C and 1 atm is mixed with helium at 120°C and 1 atm, at a volumetric flow rate of 40 m^3/min and 25 m^3/min respectively, the mixture exits at 1 atm. Assuming ideal gas behavior, steady-state processes, with molar mass and specific heat capacity given, the final temperature of the mixture can be calculated as 49.4K

The problem can be solved using the conservation of mass and energy equations. Since the control volume is insulated, there is no heat transfer. Therefore, the energy equation reduces to the conservation of enthalpy. The mass flow rates of air and helium and their specific heat capacities are given, and the molar mass of the mixture can be calculated from the mole fractions of air and helium. The mole fractions can be calculated using the volumetric flow rates and the molar volumes of air and helium at their respective conditions.

Using the conservation of mass equation, the mole fractions of air and helium in the mixture are found to be 0.783 and 0.217, respectively. Using the conservation of enthalpy equation, the final temperature of the mixture can be calculated as 49.4°C.

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Two atoms of cesium (Cs) can form a Cs molecule. The equilibrium distance between the nuclei in a molecule is 0.447 Calculate th…
Two atoms of cesium (Cs) can form a Cs molecule. The equilibrium distance between the nuclei in a molecule is 0.447 Calculate the moment of inertia about an axis through the center of mass of the two nuclei and perpendicular to the line joining them. The mass of a cesium atom is 2.2 .

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The moment of inertia about an axis through the center of mass of the two nuclei and perpendicular to the line joining them is 0.223 kg⋅m².

To calculate the moment of inertia, we need to use the formula:

I = μr²

where I is the moment of inertia, μ is the reduced mass, and r is the distance between the two nuclei.

First, we need to calculate the reduced mass:

μ = m₁m₂ / (m₁ + m₂)

where m₁ and m₂ are the masses of the two Cs atoms.

Since we have two Cs atoms, the mass of each is 2.2, so we have:

μ = (2.2)(2.2) / (2.2 + 2.2) = 1.1

Now we can calculate the moment of inertia:

I = (1.1) (0.447)²

 = 0.223 kg⋅m²

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seaborgium (sg, element 106) is prepared by the bombardment of curium-248 with neon-22, which produces two isotopes, 265sg and 266sg.

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The statement is true. Seaborgium, with the symbol Sg and atomic number 106, is a synthetic element that was first synthesized in 1974 by a team of scientists at the Lawrence Berkeley National Laboratory in California.

The production of seaborgium involves the bombardment of a heavy target nucleus with a lighter projectile nucleus to induce a nuclear fusion reaction.

In the case of seaborgium, the element is prepared by bombarding a curium-248 target with neon-22 projectiles, which produces two isotopes: 265Sg and 266Sg. The reaction can be represented by the following equation:

248Cm + 22Ne → 265,266Sg + n

The neutrons produced in the reaction are necessary to maintain the stability of the newly formed isotopes. Seaborgium is a highly unstable element, with a half-life of only a few minutes, and its properties are difficult to study due to its short-lived nature.

The synthesis of seaborgium and other heavy elements has important implications for our understanding of nuclear physics and the structure of matter. It also has potential applications in areas such as nuclear energy and medicine. However, the production of these elements is challenging and requires sophisticated technology and highly skilled scientists.

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if you start with 1.115 g of aluminum, how many grams of alum should be obtained?

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To calculate the grams of alum that should be obtained from 1.115 g of aluminum, you need to know the balanced chemical equation involving aluminum and alum, as well as the molar masses of the substances involved. Alum is a general term for double sulfates with the formula M2SO4·Al2(SO4)3·24H2O, where M is a monovalent metal (e.g potassium, sodium). Assuming potassium alum (KAl(SO4)2·12H2O) as an example: 2 Al + 2 K2SO4 + 4 H2SO4 + 24 H2O → 2 KAl(SO4)2·12H2O Now, calculate the molar masses: - Aluminum (Al)= 26.98g/mol - Potassium alum (KAl(SO4)2·12H2O): 474.38 g/mol Determine the moles of aluminum: 1.115g Al × (1 mol Al / 26.98g Al) = 0.0413 mol Al Using the stoichiometry of the balanced equation: 0.0413 mol Al × (1 mol KAl(SO4)2·12H2O / 1 mol Al) = 0.0413 mol KAl(SO4)2·12H2O Calculate the grams of potassium alum= 0.0413 mol KAl(SO4)2·12H2O × (474.38 g KAl(SO4)2·12H2O / 1 mol KAl(SO4)2·12H2O) = 19.57 g KAl(SO4)2·12H2O So, if you start with 1.115 g of aluminum, you should obtain approximately 19.57 g of potassium alum. Note that this answer is specific to potassium alum and may vary for other types of alum.

About Aluminum

Aluminum is the most abundant metal. Aluminum is not a heavy metal, but it is an element that accounts for about 8% of the earth's surface and is the third most abundant. An equation is a mathematical statement in the form of a symbol that states that two things are exactly the same. Equations are written with an equal sign, as follows: x + 3 = 5, which states that the value x = 2. 2x + 3 = 5, which states that the value x = 1. The statement above is an equation.

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a spring system doing simple harmonic motion has an amplitude of 5.00 cm and a maximum speed of 30.0 cm/s. what is the displacement when its speed is 15.0 cm/s?

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The displacement of the spring system when its speed is 15.0 cm/s is 3.75 cm.

The amplitude (A) of a spring system doing simple harmonic motion is the maximum displacement from the equilibrium position. In this case, the amplitude is given as 5.00 cm.

The maximum speed (v_max) occurs when the displacement is zero, and is equal to the amplitude multiplied by the angular frequency (ω) of the motion:

v_max = Aω

We can rearrange this equation to solve for the angular frequency:

ω = v_max / A

The displacement (x) of the spring system at any given time can be expressed as:

x = Acos(ωt)

where t is the time. To find the displacement when the speed is 15.0 cm/s, we need to first find the corresponding time.

At this speed, the velocity is half of the maximum velocity, so we can set:

15.0 cm/s = (1/2)v_max

Solving for v_max gives:

v_max = 30.0 cm/s

So, we have:

ω = v_max / A = (30.0 cm/s) / (5.00 cm) = 6.00 s⁻¹

Now, we can use the equation for displacement to find x when the velocity is 15.0 cm/s:

x = Acos(ωt)

15.0 cm/s = -Aωsin(ωt)

sin(ωt) = -(15.0 cm/s) / (Aω) = -0.50

At this point, we can use a calculator to find the value of the angle (ωt) that gives a sin of -0.50, which is approximately 30°.

Since we know that the displacement is at its maximum when the speed is zero, we can subtract the amplitude multiplied by the cosine of 30° to find the displacement at the given speed:

x = Acos(ωt) - A = (5.00 cm)cos(30°) - (5.00 cm) = 3.75 cm

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using the following portion of the activity series for oxidation half-reactions, determine which combination of reactants will result in a reaction. na(s) → na (aq) e- cr(s) → cr3 (aq) 3e-

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A reaction will occur between sodium (Na) and chromium (Cr) ions. Na is more likely to get oxidized, it can reduce Cr3+ to Cr(s). So, the reaction between Na(s) and Cr3+(aq) will take place, and the combination of reactants that will result in a reaction is Na(s) with Cr3+(aq).


According to the activity series for oxidation half-reactions, elements that are higher on the list can oxidize those that are lower on the list. In this case, sodium (Na) is higher on the list than chromium (Cr), so it can oxidize chromium ions (Cr3+). This means that a reaction can occur between solid sodium (Na) and an aqueous solution of chromium ions (Cr3+). The half-reactions for this reaction would be:
Na(s) → Na+(aq) + e- (oxidation half-reaction)
Cr3+(aq) + 3e- → Cr(s) (reduction half-reaction)

In the given activity series, we have two half-reactions:
1. Na(s) → Na+(aq) + e-
2. Cr(s) → Cr3+(aq) + 3e-
To determine which combination of reactants will result in a reaction, we need to find a pair where the higher reactive element is being oxidized and the lower reactive element is being reduced. In the activity series, elements higher up in the list are more likely to lose electrons (oxidation) compared to those lower down. Sodium (Na) is higher in the activity series compared to Chromium (Cr), so Na will be more likely to get oxidized.
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What is the pH of a 0.0050 M solution of Ba(OH)2(aq) at 25 °C? (A) 2.00 (B) 2.30 (C) 11.70 (D) 12.00

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The pH of 0.0050 M solution of Ba(OH)₂(aq) at 25 °C is found to be 12. Hence, option D is correct.

Ba(OH)₂ is a strong base that dissociates completely in water, producing 2 OH⁻ ions for every molecule of Ba(OH)₂. Therefore, the concentration of OH⁻ ions in a 0.0050 M solution of Ba(OH)₂ is,

[OH⁻] = 2 x 0.0050 = 0.010 M

To find the pH of the solution, we can use the formula,

pH = 14 - pOH where pOH is the negative logarithm of the hydroxide ion concentration,

pOH = -log[OH⁻] = -log(0.010) = 2

Therefore, the pH of the solution is,

pH = 14 - 2 = 12. So the answer is (D) 12.00.

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• What is the concentration of aqueous Fe 3+ in equilibrium with solid Fe(OH)3 if pH of solution is 4. 51 ?Ksp for Fe(OH)3 = 3 X 10-39 What is the solubility of Fe(OH)3 in mol/L

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The concentration of aqueous [tex]Fe^3+[/tex] in equilibrium with solid [tex]Fe(OH)_3[/tex] is approximately [tex]3.16 x 10^{-36[/tex] M, and the solubility of [tex]Fe(OH)_3[/tex] is also approximately 3.16 x [tex]10^{-36[/tex] M.

The solubility product constant (Ksp) expression for Fe(OH)3 can be written as follows:

Ksp =[tex][Fe^3+][OH^-]^3[/tex]

Since [tex]Fe(OH)_3[/tex] is a sparingly soluble compound, we can assume that the concentration of [tex]OH^-[/tex] ions in the solution is negligible compared to the concentration of [tex]H3O^+[/tex]ions. Thus, we can consider the solution to be acidic and calculate the concentration of [tex]Fe^3+[/tex] ions using the pH of the solution.

Given:

pH = 4.51

Ksp for [tex]Fe(OH)_3[/tex] = 3 x 10^-39

Using the relationship between pH and pOH (pOH = 14 - pH), we can calculate the pOH of the solution:

pOH = 14 - 4.51 = 9.49

Since the solution is acidic, the concentration of H3O+ ions is equal to 10^(-pH):

[[tex]H3O^+[/tex]] = [tex]10^{(-4.51)[/tex] M

Now, assuming that Fe(OH)3 is in equilibrium with [tex]Fe^3+[/tex] ions, we can equate the concentration of [tex]Fe^3+[/tex] to [[tex]H3O^+[/tex]]:

[[tex]Fe^3+[/tex]] = [H3O+] = 10^(-4.51) M

Since the concentration of [tex]Fe^3+[/tex] ions is equal to the solubility of [tex]Fe(OH)_3[/tex], the solubility of [tex]Fe(OH)_3[/tex] is approximately 3.16 x 10^-36 M.

Therefore, the concentration of aqueous [tex]Fe^3+[/tex]in equilibrium with solid [tex]Fe(OH)_3[/tex] is approximately 3.16 x [tex]10^{-36[/tex] M, and the solubility of[tex]Fe(OH)_3[/tex]is also approximately 3.16 x [tex]10^{-36[/tex] M.

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