suppose your original tea happened to be a 10% solution of sucrose, and your pot contained 500 ml of tea. you diluted it with 200 ml of water. you now have 700 ml of tea. but what is the new concentration?

Answers

Answer 1

The new concentration of sucrose in the tea is 7.14%.

When a solution is diluted, the number of moles of solute (in this case, sucrose) remains constant, while the number of liters of solvent (in this case, water) increases. Therefore, the concentration of the solute decreases.

To calculate the new concentration, you would divide the number of moles of sucrose by the number of liters of the final solution (700 ml). In this case, the original solution was a 10% solution of sucrose, so it contained:

10/100 × 500 = 50 grams of sucrose.

After dilution with 200 ml of water, the new solution contains:

50/700 × 100% = 7.14%.

Therefore the new concentration is 7.14%

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Related Questions

What is the formula for this ionic crystal ?

Answers

The chemical formula of the ionic crystal is Ca₄F₈ (option D).

What is an ionic crystal?

Ionic crystal in chemistry is a crystalline form of an ionic compound.

According to this question, an ionic crystal is depicted in the attached image. The green balls represent fluoride ions while the blue balls represent calcium ions.

Based on the ionic crystal, there are four (4) calcium ions and eight (8) fluoride ions, hence, the formula of the ionic crystal is Ca₄F₈.

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in one trial, scientist find that a 200-g sample of chalk, CaCO3, contains 80g of calcium. in a second trial, the scientist find that a 100-g sample of chalk contains 40g of calcium. explain how the data demonstrate the law of definite proportions.

Answers

According to law of definite proportion, the ratio of elements in calcium carbonate is always fixed. Thus on mole of calcium carbonate is 100 g which contains one Ca atom weighs 40 g. Thus,200 g of CaCO₃ contains 80 g of Ca.

What is law of definite proportion ?

Law of definite proportion states that, every compound will maintain a definite proportion of its constituent elements always irrespective of the source and method of preparation.

Therefore, all the elements in a compound will be in a fixed ratio with total mass of the compound. There is only one Ca in one formula unit of CaCO₃.

atomic mass of Ca = 40 g/mol

molar mass of CaCO₃ = 100 g/mol/

Hence, 100 g of CaCO₃ contains 40 g of Ca, if 200 g of CaCO₃ is taken, the mass of Ca doubles to 80 g to keep the definite proportion of the composition.

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HNO3 + H3PO3 → NO + H₂PO4+H₂O (Acidic)
What is the complete step by step oxidation reduction reaction?

Answers

Answer:

The reaction provided is not a redox reaction. The equation shows the neutralization reaction between Nitric acid (HNO3) and Phosphoric acid (H3PO3) to produce Nitrogen monoxide (NO), Dihydrogen Phosphate (H2PO4) and water (H2O).

When two or more acids are mixed together, they can neutralize each other. This is called a neutralization reaction. The acid and the base will react to form a salt and water. In this case, Nitric acid is the acid and Phosphoric acid is the base.

The equation for this neutralization reaction can be balanced as follows:

HNO3 + H3PO3 → NO + H2PO4 + H2O

Where HNO3 = Nitric acid

H3PO3 = Phosphoric acid

NO = Nitrogen monoxide

H2PO4 = Dihydrogen Phosphate

H2O = water

The reaction is acidic in nature due to the presence of H+ ions in the products.

In summary, the reaction provided is a neutralization reaction, not a redox reaction. The equation shows that Nitric acid and Phosphoric acid neutralize each other to form Nitrogen monoxide, Dihydrogen Phosphate and water. The reaction is

Sodium chloride and calcium carbonate have been mixed together. Sodium chloride i oluble in water but calcium carbonate i not. Which decription give the correct tep in the eparation of thee two olid

Answers

As sodium chloride is soluble in water, it will dissolve in water and being insoluble calcium carbonate will make precipitate, which can be separated easily.

To separate calcium carbonate and sodium chloride follow the steps given below:-

firstly water should be added to the mixture of sodium chloride and calcium carbonate.stir water into the mixture and dissolve the NaCl.Then pour off the solution and evaporate it to recover the separated NaCl.Calcium carbonate is not soluble in water but sodium chloride is.Remove the calcium carbonate.we should repeat the process several times to obtain proper results.This is how sodium chloride and calcium carbonate can be separated.

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a certain hydrocarbon (a compound consisting of carbon and hydrogen) is carbon by mass and has a molar mass of . determine its molecular formula.

Answers

The molecular formula of the hydrocarbon having 82.76 % carbon and hydrogen is [tex]C_{4} H_{10}[/tex].

Hydrocarbon are defined as an organic compound consisting of hydrogen and carbon. These are the examples of group 14 hydrides. Hydrocarbons are colorless compounds and these are hydrophobic. The  odors of hydrocarbons are weak.

Suppose we have 100 g of the given compound. if there are 82.76 g of carbon then it should have 17.24 g of hydrogen in it.

The molar mass of carbon is 12.01 g/mol.

The molar mass of hydrogen is 1.01 g/mol.

We have to calculate the number of moles.

Number of moles of carbon = 82.76 g / 12.01g/ mole

                                                = 6.89 mole

Number of moles of Hydrogen = 17.24 g / 1.01g/ mole

                                                      = 17.07 mole

Now we have to divide the moles of carbon and hydrogen by the smallest value.

For carbon, 6.89 mole / 6.89 mole = 1

For Hydrogen, 17.07 mole / 6.89 mole = 2.5

Then the ratio becomes 2: 5. so the empirical formula is [tex]C_{2}H_{5}[/tex] having the weight of 29.07 g / mole.

n = molecular mass / weight of empirical

  = 58.1 g/ mole / 29.07 g / mole

  = 2

so the molecular formula becomes 2 * [tex]C_{2} H_{5}[/tex] = [tex]C_{4} H_{10}[/tex] .

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The complete question is,

What is the molecular formula for a compound that composed of 82.76% carbon having a molecular mass of 58.1 g/mole and is composed solely of carbon and hydrogen?

molecular formula is [tex]C{4H{10} }[/tex] for the hydrocarbon compound consisting of carbon and hydrogen.

An organic substance made up of hydrogen and carbon is referred to as a hydrocarbon. These group 14 hydride examples are shown. Hydrocarbons are invisible molecules that repel water. Hydrocarbons have hardly detectable smells. Consider that we have 100 g of the specified chemical. 17.24 g of hydrogen should be present if there are 82.76 g of carbon.

Carbon has a molar mass of 12.01 g/mol.

Hydrogen has a molar mass of 1.01 g/mol.

We must determine the amount of moles.

Number of moles of carbon = 82.76 g / 12.01g/ mol = 6.89 mole

Number of moles of Hydrogen = 17.24 g / 1.01g/ mol = 17.07 mole

The next step is to divide the moles of hydrogen and carbon by the least number. 6.89 mole / 6.89 mole equals one for carbon.

17.07 moles / 6.89 moles of hydrogen equal 2.5

Then, the ratio changes to 2 to 5. Therefore, the empirical formula weighs 29.07 g per mole.

n = empirical weight / molecular mass

29.07 g/mole / 58.1 g/mole = 2

Consequently, the molecular equation is 2 * [tex]C_{2} H_{5\\}[/tex] = [tex]C_{4} H_{10}[/tex]

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The complete question is,

What is the molecular formula for a compound that composed of 82.76% carbon having a molecular mass of 58.1 g/mole and is composed solely of carbon and hydrogen?

what is the entropy of this collection of training examples with respect to the target function classification?

Answers

Deciding whether or not to approve a mortgage Future changes in consumer purchase tendencies can be predicted using classification models.

A mortgage is a kind of loan used to buy or keep up real estate, such as a home, piece of land, or other construction. The borrower agrees to make a series of monthly payments, divided into principal and interest, to the mortgage lender. This frequently emerges as a succession of regular, weekly episodes. After then, the asset is forfeited as loan collateral.

Borrowers are need to fill out an application with their selected lender and fulfill a number of criteria, such as down payments and minimum credit scores. Before going on to the closing stage, mortgage applications must pass a stringent underwriting procedure.

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an empty container with a volume of 160.0 cm3 is weighed and found to have a mass of 72.3 g. the container is filled with a liquid and reweighed. the mass of the container and the liquid is 199.9 g. what is the density of the liquid to the appropriate number of significant figures?

Answers

An empty container with a volume of 160.0 cm³ is weighed and found to have a mass of 72.3 g. The density of the liquid is 0.797 g/ cm³.

The Mass of empty container = 72.3 g

The Mass of container + Liquid = 199.9 g

The Mass of Liquid =?

The Mass of Liquid = (Mass of container + Liquid) – (Mass of the empty                

                                                                                          container)

The Mass of Liquid = 199.9 - 72.3

The Mass of Liquid = 127.6 g

The volume = 160 cm³

The density is given as:

Density = mass / volume

Density = 127.6 / 160

Density = 0.797 g/cm³

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polyatomic ion examples with explanation

Answers

A polyatomic ion examples with explanation are:

Carbonate (CO₃²⁻): This ion is made up of one carbon atom, three oxygen atoms, and a negative 2 charge. It is commonly found in rocks such as limestone and can also be found in baking soda.

Nitrate (NO₃⁻): This ion is made up of one nitrogen atom and three oxygen atoms and it carries a negative 1 charge. It is commonly found in fertilizers and is also a component of nitric acid.

What are polyatomic ion?

A polyatomic ion is a group of atoms that are chemically bonded together and carry an overall electric charge. Here are a few examples of polyatomic ions:

Sulfate (SO₄²⁻): This ion is made up of one sulfur atom and four oxygen atoms, and it carries a negative 2 charge. It is commonly found in minerals such as gypsum and also in sulfate salts like Epsom salt.

Lastly, Hydroxide (OH⁻): This ion is made up of one oxygen atom and one hydrogen atom and it carries a negative 1 charge. It is commonly found in water and it is the basis of many acids and bases.

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the density of gold is 19.3 g/ml. what is the volume of a gold nugget that weighs 67.0 g? write your numerical answer without unit inside the box. the answer should be in three significant figures and in standard not scientific notation.

Answers

The volume of a gold nugget that weighs 67.0 g is 3.47 mL

The relationship between an object's mass and the volume it occupies is known as its density. This means that if an object's volume increases but its mass remains constant, its density will decrease.

We use the equation: to determine the mass of the solution.

ρ = m/V

whre,

ρ = density

m= mass

v= volume

so,

V= m/ρ

We receive:

Gold mass =67.0 grams.

Gold has a density of 19.3 g/mL.

Using the values in the equation above, we obtain:

V= m/ρ

V = 67.0 grams./ 19.3 g/mL.

V= 3.47 mL

Consequently, the gold nugget's volume is 3.47 mL

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I need a description for the rocks mass-spectrum
Table C. Arrangement of Layers with Rock Intrusion and Description of Rocks

Answers

Basalt is an ingenious salt which is found near the surface. Limestone fossils are found in sedimentary sequences and they are old by 2.7 billion years. Sand stones with trilobites are old about 500 million years.

What are rock types?

Rocks are the major parts of the tectonic plates of earth, There are broadly three classes of rocks namely, sedimentary rocks, igneous rocks and metamorphic rocks.

Basalt is a type of well grained igneous rocks found near the surface of earth. Rapid cooling of lava rich in Mg and Ca composes Basalt rock

Limestone, a form of carbonate sedimentary rock composed primarily of calcium carbonate (CaCO3). The minerals calcite and aragonite, which are various crystal forms of CaCO3, make up the majority of its material. When these minerals separate from water that has dissolved calcium, limestone is created.

Sileous sandstone is a typical component of nearshore deposits about 500-600 million years of age. This often grades into siltstone and shale as it moves into the sea, with finer-grained sediment accumulating in deeper water to create these rocks.

Shale rocks with ammonites have an age of about 70 million years. Ammonites are spiral shaped fossilized shells of marine animals.

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In the compound, A is the ___, B is the ____, C is the ___.
Multiple choices:
-Hydrate
-Anhydrate
-Waters of hydration

Answers

The highlighted parts of the compound are;

A - Anhydrate

B - Waters of hydration

C - Hydrate

What is a hydrated compound?

We know that a compound can be said to be hydrated if the compound does contain a water of crystallization. The implication of this is that If we have a compound that has a certain specified number of water molecules attached to it, we can say that the compound is hydrated.

The anhydrous compound is the compound that has lost its water of crystallization. We can tell that for the compound that we have, there is a water of hydration attached.

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identify tools that are ideal for cleaning glassware.

Answers

tools that are ideal for cleaning glassware Brushes and  Detergent

Scrub the interior of curved glassware with warm tap water and a brush dipped in soapy water. You can flush the sink with this waste water. To avoid severe water stains, detergents, remove soap suds with deionized water. Pouring the DI water rinse through clean glassware should result in a smooth sheet. According to the University of Wisconsin Office of Chemical Safety, acid solutions such fuming sulfuric acid, diluted sulfuric acid, chromic acid solution, piranha solution, and aqua regia (a blend of nitric acid and hydrochloric acid) are used to clean laboratory glassware.

identify tools that are ideal for cleaning glassware.

1. reusable clothes

2.brushes

3. detergents

4. steel wool water

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If zinc replaces iron, iron replaces lead, and zinc replaces lead in a chemical reactions, the order of activity from most active to least active is

Answers

In the given scenario, the order of activity from most active to least active is zinc, iron and lead.

The activity of an element in a chemical reaction is determined by its ability to participate in the formation of a compound. In this case, zinc is replacing both iron and lead, meaning it is more active than both of those elements and considered to be the most active element. Iron is only replacing lead, making it less active than zinc but more active than lead.

Lead is the only element that is being replaced, making it the least active element among the three. This order of activity is based on the relative ability of these elements to participate in chemical reactions and form compounds.

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a student mixes 50.0 ml of 0.10 m pb(no3)2 solution with 50.0 ml of 0.10 m kcl. a white precipitate forms, and the concentration of the chloride ion becomes very small. which list places the concentrations of the remaining ions in order of decreasing concentration?

Answers

[ NO3-] > [K+] > [Pb2+] is correctly  places the concentrations of the remaining ions in order of decreasing concentration.

As from the given data, we know that,

       Pb(NO3)2 + 2KCl = PbCl2 + 2KNO3

we know,

Pb(NO3)2= 0.005mol

2KCL = 0.005mol

PbCl2 = 0.0025mol

2KNO3 = 0.005mol

SO,

K+ and NO3- spectators 2NO3- for each K+

Pb and K+ are equal but some Pb precipitate

Hence, giving the concentration order as,

[ NO3-] > [K+] > [Pb2+] and the concentration of the chloride ion becomes very small and hence it is negligible.

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How many milligrams are in 5.7 grams

Answers

Answer:

5700 milligrams

Explanation:

To go to a smaller unit you move the decimal to the right.

How many milligrams are in 5.7 grams? The answer is 5,700 milligrams.
1 gram equals to 1,000 milligrams. So to find how many milligrams are in 5.7 grams, simply take 5.7 and divide that by 1,000, which gives you 5,700.

which is the most abundant chemical found in all living systems?
A. Protein
B. Water
C. Sugar
D. Nucleic acid

Answers

B. Water. Water is the most abundant chemical in the living organisms.Water is essential to all living things because it is involved in many chemical processes .

that occur within their cells and bodies. The universal solvent, water, functions as a medium for the chemical processes to take place. Additionally, substances that have been dissolved are transferred throughout the body from one area to another. Water is present in great quantity in living things. It is the only polar molecule found in living things that can passively diffuse through a cell membrane. It serves as one among the building blocks for photosynthesis and is essential for several metabolic processes. The most prevalent element found in living things, oxygen, makes up around 65% of the mass of the entire body.  that have been dissolved are transferred throughout the body from one area to another.

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A skydiver fall at 10 m/s. If he falls for 15 seconds, how many meters did he fall?

Answers

To find out how many meters the skydiver fell, you can use the formula:

distance = speed x time

distance = 10 m/s x 15 seconds

distance = 150 meters

Therefore, the skydiver fell 150 meters during his 15-second fall.

What is speed?

Speed is a scalar quantity that describes how fast an object is moving. It is typically measured in units of distance per time, such as meters per second (m/s) or kilometers per hour (km/h).

Speed is different from velocity, which is also a measure of an object's movement, but velocity is a vector quantity and it describes an object's speed in a certain direction. Speed is the magnitude of velocity and it's a scalar quantity which only describes how fast an object is moving without considering direction. The formula for speed is distance traveled divided by the time it takes to travel that distance.

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Introduction
Use your responses from the Project Summary to describe the project goal and criteria. Add one to two sentences to describe your optimal design.
*
5000 characters remaining
Design Decisions
Use your Proposal Outline and feedback from your project director to explain how your design addresses each criterion.

Answers

The specific aims that you want the project to achieve are known as project objectives.

What is Project goal?

Every choice made throughout the project life cycle will be influenced by the project objectives, which is why it's so important to articulate them as clearly as possible at the outset.

Using the SMART methodology for creating project management objectives is one of the greatest ways to ensure that your project goals are clear and explicit.

PMs and their teams may plan projects effectively and guarantee on-time, on-budget delivery by using SMART project objectives.

Therefore, The specific aims that you want the project to achieve are known as project objectives.

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How many moles are in .3 g of water

Answers

Answer:

n(H2O)=0.167mol

Explanation:

n(H2O)=m/M

m(H2O)=3g, M(H2O)=18g/mol

=>n(H2O)=3/18=o.167mol

what mass of precipitate forms when 22.0ml of 0.125mol sodium hydroxide reacts with 34.5ml of 0.110mol zinc sulfate

Answers

0.13 gram of precipitate forms when 22.0ml of 0.125mol sodium hydroxide reacts with 34.5ml of 0.110mol zinc sulfate.

What is molarity ?

The term molarity is defined as the number solute dissolve in per litre of solution.

The balanced chemical equation that describes this double replacement reaction is as follows:

2NaOH + ZnSO₄ ⇒ Zn(OH)₂  + Na₂(SO)₄

Notice that you need 2 moles of sodium hydroxide in order to react with

1 mole of zinc(II) sulfate and produce 1 mole of zinc(II) hydroxide.

Use the molarities and volumes of the two solutions to figure out how many moles of each reactant you are mixing together.

0.00275 moles of NaOH

0.00379 moles of zinc sulphate

0.00379 moles of zinc sulphate × 2 mole NaOH / 1 mole zinc sulphate

= 0.00759

0.00137 moles of zinc oxide × 99.42 / 1 mole zinc hydroxide

= 0.13 gram

Thus, 0.13 gram of precipitate forms when 22.0ml of 0.125mol sodium hydroxide reacts with 34.5ml of 0.110mol zinc sulfate.

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conclusions: how do the results for methane compare to those for butane? does your experimental data verify charles's law?

Answers

The rule of conservation of mass only holds when the combined masses of the reactants and products are equal. As a result, if we know the masses of one reactant and one product, we can calculate the masses of the other reactant and product.

We know that the reactants in this case have beginning concentrations of 25.0 g of lithium and 25.0 g of bromine. The molar mass of lithium is 6.939 g/mol, whereas the molar mass of bromine is 159.808 g/mol.

In order to convert the mass of any material into a unit of moles the temperature and volume of methane and butane must be measured and recorded at various pressures and temperatures in an experiment to confirm Charles's Law. The data from the experiment must then be analyzed to determine whether the relationship between temperature and volume is direct and linear, as predicted by Charles's Law.

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what is the process of splitting a uranium atom called?

Answers

Answer:

Nuclear fission

hich of the following options correctly describe entropy? select all that apply. multiple select question. the symbol for entropy is e. entropy is a measure of the energy dispersal of a system. the greater the freedom of motion of particles in a system, the greater the entropy of the system. any process that causes an increase in the entropy of a system will be spontaneous. entropy is another term for kinetic energy or energy of movement.

Answers

The options which correctly describe entropy are- Entropy is a measure of the energy dispersal of a system, The greater the freedom of motion of particles in a system, the greater the entropy of the system and Any process that causes an increase in the entropy of a system will be spontaneous.

What is the definition of entropy?

Entropy is a measure of the disorder or randomness of a system, and it is often associated with the amount of energy that is unavailable to do work. The symbol for entropy is S. It is not another term for kinetic energy or energy of movement.

What is the second law of thermodynamics?

The second law of thermodynamics says that the total entropy of a system either increases or will remain constant in any spontaneous process. It never decreases.

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Each of the given reactions is catalyzed by an enzyme. For each reaction, classify the enzyme according to one of the six categories suggested by the International Union of Biochemistry. Consider the reaction. H 2 O + A dipeptide and water forms two amino acids. Which category does the catalyzing enzyme belong to?

Answers

Considering the given reaction, H 2 O + A dipeptide and water forms two amino acids, hydrolase category does the catalyzing enzyme belongs.

The catalyzing enzyme in the reaction H2O + A dipeptide → two amino acids belongs to the Hydrolase category. This is because the enzyme catalyzes the hydrolysis of a dipeptide, which involves the addition of water (H2O) to the dipeptide to form two amino acids. Hydrolases are enzymes that catalyze the hydrolysis of various types of biological molecules, such as carbohydrates, lipids, and nucleic acids.

1. Esterases, which catalyze the hydrolysis of esters, breaking the bond between the carboxyl and alcohol groups.

2. Lipases, which catalyze the hydrolysis of lipids, breaking the bond between the glycerol and fatty acid groups.

3. Peptidases, which catalyze the hydrolysis of peptides, breaking the bond between the amino acids.

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How much change in temperature would the addition of 39,231J of heat have on a 532g sample of copper?

Answers

54 would be your answer so letter j

what volume of 6 m acetic acid is required to fully react with 0.5 g of sodium bicarbonate (nahco3)?

Answers

The volume of 6 M acetic acid required to fully react with 0.5 g of sodium bicarbonate is 0.099167 mL.

To determine the volume of 6 M acetic acid required to fully react with 0.5 g of sodium bicarbonate (NaHCO3), we need to use the balanced equation for the reaction between acetic acid and sodium bicarbonate.

The balanced equation is:

CH3COOH(aq) + NaHCO3(aq) → CH3COONa(aq) + H2O(l) + CO2(g)

From the balanced equation, we know that one mole of acetic acid reacts with one mole of sodium bicarbonate.

we know that the molarity is moles of solute per liters of solvent, so the number of moles in 0.5 g of sodium bicarbonate is 0.5/84 = 0.00595 mol

And since one mole of acetic acid reacts with one mole of sodium bicarbonate, we know that we need 0.00595 mole of acetic acid to fully react with 0.5 g of sodium bicarbonate.

If we know the molarity of acetic acid, we can calculate the volume of acetic acid required to react with 0.5 g of sodium bicarbonate. we have

V = n / M = 0.00595 / 6 = 0.00099167 L = 0.099167 mL

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a 140.0 g sample of water at 20.0 °c is mixed with 100.0 g of a certain metal at 95.0 °c. after thermal equilibrium was established, the temperature of the mixture is 24.6 °c. what is the specific heat capacity of the metal?

Answers

the specific heat capacity of the metal is  0.3427 J/g°C.

Water mass is 140.0 g.

Water started out at a temperature of 20.0 °C.

100 g is the mass of a specific metal.

Metal's initial temperature is 95.0°C.

Water and metal's combined final temperature is 24.6°C.

The water will gain heat because its initial temperature is lower than that of the metal, which will lose heat because it is at a greater initial temperature. Therefore, heat obtained by water equals heat lost by metal.

formula: (mass water)(finalT- initalT) = (mass metal)(initialT- finalT)(Cp metal) ( Cp water)

after entering the provided info we obtain,

(100g )(95°C -24.6°C)

(140.0g)(24.6°C–20.0°C) = (Cp metal) (4.184 J/g°C)

The formula is (100g)(70.4°C)(Cp metal)=(140.0g)(4.6°C)(4.184 J/g°C)

7863.7 g°C = 2694.5 J (Cp metal)

Cp metal = 2694.5% J/7863.7% g°C

Cp of metal therefore equals 0.3427 J/g°C.

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Which two changes would decrease the gravitational force between two objects?

Answers

Decreasing mass and increasing distance between two objects decrease the gravitational force between two objects.

What is gravitational force?

The concept of gravitational force is described by Newton's Law of Universal Gravitation. This gravitational force is indeed a form of non-contact force; it is a constant attracting and constrictive force in nature.

The attraction force felt by two or even more objects into contact is known as gravitational force. The Gravitational Force Formula, which was derived from Newton's Universal Law of Gravitation, is used to calculate the gravitational force.

F=GmM/r²

From formula we can see that decreasing mass and increasing distance between two objects decrease the gravitational force between two objects.

Therefore, decreasing mass and increasing distance between two objects decrease the gravitational force between two objects.

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a fictitious element z has an average atomic mass of 223.13 u. element z has two naturally occuring isotopes. the more abundant isotope has an exact mass of 224.75 u and a relative abundance of 62.94%. calculate the exact mass of the second isotope.

Answers

The exact mass of the second isotope is  224.15 u

The following equation can be used to get the average atomic mass:

average atomic mass = (% of the first isotope/100) x mass of the first isotope+  (% of the second  isotope/100) x mass of the second isotope)

Due to this:

Initially isotope:

% = 62.94 %

Mass = 224.75 u

The second isotope is:

Since there are only two isotopes of the element, the second percentage is equal to 100 minus the first percentage.

% = 100 % - 62.94 % = 37.06 %

Assume Mass = x u.

Average Mass = 223.13 u, as stated

Thus,

average atomic mass = (% of the first isotope/100) x mass of the first isotope+  (% of the second  isotope/100) x mass of the second isotope)

223.13 = (62.94 % x 224.75) +( 37.06 % x 223.13 )

                   100                         100

When we solve for x, we obtain:

x = 224.15 u

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the rate constant for a reaction at 40.0oc is exactly three times that at 20.0oc. calculate the activation energy for the reaction. report your answer in kj/mol.

Answers

The activation energy for the reaction is 4.187 x 10⁴ J/mol.

The reaction's starting point temperature is 40.0° C

T' = 20.0° C is the reaction's final temperature.

Initial temperature's rate constant is three times higher than final temperature's.

The relationship between the Arrhenius energy and the rate constant is the basis of the presented problem. And the mathematical expression is as follows:

ln k'/k = (Eₐ/R) x (1/T-1/T')

The universal gas constant, R, is used here. And is the activation's Arrhenius energy.

As stated in the issue,

K'/k = 3

Solving as,

ln k'/k = (Eₐ/R) x (1/T-1/T')

ln 3 = (Eₐ/8.134) x (1/293-1/313)

1.098 =  (Eₐ/8.134) x2.18 x10⁻⁴

Eₐ = 4.187x 10⁻⁴ J

Thus, it follows that the required amount of activation energy for the specified reaction is 4.187x 10⁻⁴ J.

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