45.0 g of CaCl2 are dissolved in enough water so that the molarity of the solution is 1.15 M. What is the volume in mL of the solution?

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf 353 \ mL}}[/tex]

Explanation:

We are asked to find the volume in milliliters of a solution, given the mass of solute and molarity of the solution.

Molarity is a measure of concentration in moles per liter.

[tex]molarity = \frac {moles \ of \ solute}{liters \ of \ solution}[/tex]

1. Moles of Solute

We are given the mass of the solute. We must convert the mass to moles using the molar mass (the mass of 1 mole of a substance). These values are found on the Periodic Table. They are equal to the atomic masses, but the units are grams per mole instead of atomic mass units.

Look up the molar masses of the individual elements in calcium chloride.

Ca: 40.08 g/mol Cl: 35.45 g/mol

The chemical formula, CaCl₂, has a subscript of 2. There are 2 moles of chlorine in 1 mole of calcium chloride. We must multiply chlorine's molar mass by 2 before adding calcium's molar mass.

Cl₂ = 35.45 *2 = 70.9 g/mol CaCl₂= 40.08 + 70.9 = 110.98 g/mol

Set up a conversion factor using the molar mass.

[tex]\frac {110.98 \ g \ CaCl_2}{1 \ mol \ CaCl_2}[/tex]

Multiply by 45.0 grams of calcium chloride.

[tex]45.0 \ g \ CaCl_2 *\frac {110.98 \ g \ CaCl_2}{1 \ mol \ CaCl_2}[/tex]

Flip the conversion factor so the units of grams of calcium chloride cancel.

[tex]45.0 \ g \ CaCl_2 *\frac{1 \ mol \ CaCl_2} {110.98 \ g \ CaCl_2}[/tex]

[tex]45.0 \ *\frac{1 \ mol \ CaCl_2} {110.98}[/tex]

[tex]\frac {45.0}{110.98} \ mol \ CaCl_2= 0.405478465 \ mol \ CaCl_2[/tex]

2. Liters of Solution

Now we can find the liters of solution.

[tex]molarity = \frac {moles \ of \ solute}{liters \ of \ solution}[/tex]

molarity = 1.15 mol CaCl₂/L moles of solute = 0.405478465 mol  CaCl₂liters of solution =x

Substitute the values into the formula.

[tex]1.15 \ mol \ CaCl_2/L = \frac{0.405478465 \ mol \ CaCl_2}{x}[/tex]

Cross multiply.

[tex]\frac {1.15 \ mol \ CaCl_2 /L}{1}= \frac{0.405478465 \ mol \ CaCl_2}{x}[/tex]

[tex]{1.15 \ mol \ CaCl_2 /L}*x= {0.405478465 \ mol \ CaCl_2} * 1[/tex]

Divide both sides of the equation by 1.15 moles of calcium chloride to isolate the variable x.

[tex]\frac {1.15 \ mol \ CaCl_2/L *x}{1.15 \ mol \ CaCl_2 /L}= \frac{0.405478465 \ mol \ CaCl_2 * 1 }{1.15 \ mol \ CaCl_2/L }[/tex]

[tex]x=\frac{0.405478465 \ mol \ CaCl_2 * 1 }{1.15 \ mol \ CaCl_2 /L}[/tex]

The units of moles of calcium chloride cancel.

[tex]x=\frac{0.405478465 }{1.15 \ L }[/tex]

[tex]x=0.35258997 \ L[/tex]

3. Convert to milliliters

There are 1000 milliliters in 1 liter.

[tex]\frac {1000 \ mL}{1 \ L}[/tex]

[tex]0.35258997 \ L * \frac{1000 \ mL}{ 1 \ L}[/tex]

[tex]0.35258997 * 1000 \ mL=352.58997 \ mL[/tex]

The original measurements of mass and molarity have 3 significant figures, so our answer must have the same. For the number we found, that is the ones place. The 5 in the tenth place tells us to round the 2 up to a 3.

[tex]353 \ mL[/tex]

The volume of the solution is approximately 353 milliliters.


Related Questions

Hydrocarbons (alkanes, alkenes, alkynes) have all the properties below except one.

Which is not a property of hydrocarbons?

A.nonpolar
B.high melting and boiling points
C.insoluble in water
D.flammable

Answers

Answer:

B

Explanation:

The answer is B. All hydrocarbons are nonpolar, they are insoluble in water and they are highly flammable. Now, not all hydrocarbons have high boiling and melting point. For example, methane (CH4) has a boiling point of something clode to -161°C, and that is low. The boiling point increases when the number of carbon atoms in a compound increases, and based on methane and this theory, not all hydrocarbond have a high boiling point. This makes option B be the correct answer.

How much Ba(OH)2, in grams, is needed to make a 1.00m aqueous solution?

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Answer:

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Explanation:

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Compare the average motion of the particles in the 3 containers of water

Answers

Answer:

c>b=a

Explanation:

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Calculate the number of carbon dioxide (CO2) molecules produced in the
reaction if 0.7525 moles of oxygen gas (O2) are consumed.

Answers

Answer:

4.530 X 10^23 MOLECULES OF CO2

Explanation:

Calculate the number of carbon dioxide (CO2) molecules produced in the

reaction if 0.7525 moles of oxygen gas (O2) are consumed

so

C + O2-----------CO2

1 MOLE OF 02 produces 1 mole of CO2

so

0.7525 moles O2 produce 0.7525 moles

1 mole is 6.02 X 10^23

so

0.7525 moles is 0.7525 X 6.02 X 10^23 -

=

4.530 X 10^23 MOLECULES OF CO2

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Answer:

6. 15 oxygen atoms (The coefficient 5 is multiplied by the subscript 3 of oxygen)

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Answers

Water has the strongest intermolecular forces followed by ethanol and diethyl ether has the least intermolecular forces.

From the table, we can see the vapor pressures of water, ethanol and diethyl ether. The boiling point of water is 100°C, the boiling point of ethanol is 80°C while the boiling point of diethyl ether is 40°C.

We can see that the vapor pressures and approximate normal boiling points of the substances varies with the nature of intermolecular bond forces in the molecule.

Water has highest boiling point and the lowest vapor pressure followed by ethanol. Diethyl ether has the highest vapor pressure and lowest boiling point from the data in the table.

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Calculate the freezing point of a solution of 3.46 g of a compound, X, in 160 g of benzene. When a separate sample of X was vaporised, its density was found to be 3.27 g/Lat 116°C and 773 torr. The freezing point of pure benzene is 5.45°C, and Kis 5.12°C kg/mol.

Answers

Answer:

Calculate the freezing point of a solution of 3.46 g of a compound,X,in 160 g of benzene. When separate sample of X was vaporised, its density was found 3.27 g/L at 116 c and 773 torr. The freezing point of pure benzen is 5.45 c, and kf is 5 .12 c/m.

Explanation:

First determine molar mass from

P*molar mass = density*R*T

Solve for molar mass. Then

moles = grams/molar mass

Solve for moles

molality = moles/kg solvent

Solve for molality

delta T = Kf*m

Solve for delta T, then convert to freezing point

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Answer :

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I. The first thing you do is cut two slices of bread.
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Steps I and II
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Answer:

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Answer:

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Explanation:

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Answer:

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Explanation:

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Answers

Answer:

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hello guyz who ever answers will get 100 pts​

Answers

Answer:

hello,

Good morning have a good day

No thanks!

Here’s a question ?

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Answers

I think u asked for the atoms of sulfur? its 4..

Explanation:

calcium = 4

sulfur = 4

oxygen = 4

I hope this is correct

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Answers

The water would stand at a height of 1033.6 cm

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So, W = W'

mg = m'g

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h' = ρh/ρ'

Substituting the values of the variables into the equation, we have

h' = ρh/ρ'

h' = 13.60 g/cm³ × 76.0 cm/1.00 g/cm³

h' = 13.60 × 76.0 cm

h' = 1033.6 cm

So, the water would stand at a height of 1033.6 cm

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Pests are living organisms that are capable of spreading diseases, causing economic damages, or generally constituting nuisance to the environment.

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Answer:

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Explanation:

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Explanation:

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O Astronomy
O Alchemy
O Ethics
O Religion

Answers

Answer:

A

Explanation:

K took the test

Astronomy subject areas contains questions that can be answered by science. Thus option A is correct.

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Answers

Answer:

The history of basketball began with its invention in 1891 in Springfield, Massachusetts by Canadian physical education instructor James Naismith as a less injury-prone sport than football. Naismith was a 31-year old graduate student when he created the indoor sport to keep athletes indoors during the winters.

Explanation:

The history of basketball began with its invention in 1891 in Springfield, Massachusetts by Canadian physical education instructor James Naismith as a less injury-prone sport than football. Naismith was a 31-year old graduate student when he created the indoor sport to keep athletes indoors during the winters.

A 1.8 mole sample of a compound weighs 195 g and is found to be 11.18% H and 88.82% C. What is the molecular formula for the compound?

Answers

Answer:

C8H12

Explanation:

First find the molar mass

195/1.8 × 1 = 108.3 gmol-1

Then the molecular formula

Mass of C in 1 mole of compound = 88.82×108.3/100

= 96.2 g

Mass of H in 1 mol of.the compound = 108.3×11.18/100 = 12.11 g

Divide the mass by their molar masses to get no. of moles in 108.3 g of compound or 1 mole of compound

Moles of C in one Mole of compound = 96.2g/12 gmol-1 = 8 mol

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Since we need the molecular formula it's C8H12

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Answers

A is the petal and b is the leaf. I think.

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Answers

Answer:

Explanation:

First Question:

Melting is a physical process that involves the phase transition of a substance from its solid to its liquid state. Burning, on the other hand, is a chemical process that involves a substance being broken down and changed into different substances. It's still the same substance, though: water.

Second Question:

Mass is therefore never conserved because a little of it turns into energy (or a little energy turns into mass) in every reaction. But mass+energy is always conserved. Energy cannot be created out of anything.

Hydrogen fusion creates _____ and lots of energy.

Answers

Explanation:

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Fusion researchers have investigated various confinement concepts. The early emphasis was on three main systems: z-pinch, stellarator, and magnetic mirror. The current leading designs are the tokamak and inertial confinement (ICF) by laser. Both designs are under research at very large scales, most notably the ITER tokamak in

the atomic number of magnsium is 12 this means that that its nucleus must contain

Answers

Explanation:

Since magnesium has an atomic number of 12, that means that it has 12 protons and 12 electrons when it is in normal state.

Answer:

12 protons

Explanation:

What type of mixture is this illustration?

Answers

Answer:

Suspension

Explanation:

It's a suspension because it is not mixed at all, and has distinctly separate layers.

How are elements in the same family in the periodic table alike?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~ C

They have the same number of electron shells~

Explanation:

option C is correct.....

375cm³ of a gas has a pressure of 770 mm Hg, find it Volume if the pressure is reduced to 750 mm Hg​

Answers

Answer:

Explanation:

Givens

v1 = 375 cm^3

P1 = 770 mm Hg

V2 = ?

P2 = 750 mm Hg

Formula

V1 P1 = V2 P2

Solution

375 * 770 = V2 * 750    Combine the left

288750 = V2 * 750       Divide both sides by 750

288750/750 = V2

V2 = 385

Pa help po asap now na po​

Answers

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