1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaVladis [17]
3 years ago
7

A solution is prepared by dissolving 23.7 g of cacl2 in 375 g of water. the density of the resulting solution is 1.05 g/ml. the

mole fraction of cl- in this solution is ________.
Chemistry
2 answers:
alekssr [168]3 years ago
4 0
<span>The density of the solution =1.05 g/ml.
</span><span>The total mass of the resulting solution is = 398.7 g (CaCl2 + water)
</span>
Find moles of CaCl2 and water.
Molar mass of CaCl2 = 110 (approx.)

Moles of CaCl2 = 23.7 / 110  = 0.22
so, moles of Cl- ion = 2 x 0.22 = 0.44  (because each molecule of CaCl2 will give two Cl- ions)
Moles of water = 375 / 18 = 20.83

Now, Mole fraction of CaCl2 =  (moles of CaCl2) / (total moles)

total moles = moles of Cl- ions + moles of Ca2+ ions + moles of water

                  = 0.44 + 0.22 + 20.83

=21.49


So, mole fraction = 0.44 / (21.49) = 0.02

Guess what !!! density is not used. No need

goldfiish [28.3K]3 years ago
4 0

The mole fraction of {\text{C}}{{\text{l}}^ - } in the given solution of {\text{CaC}}{{\text{l}}_{\text{2}}} is \boxed{{\text{0}}{\text{.0199}}}.

Further Explanation:

The proportion of substance in the mixture is called concentration. The most commonly used concentration terms are as follows:

1. Molarity (M)

2. Molality (m)

3. Mole fraction (X)

4. Parts per million (ppm)

5. Mass percent ((w/w) %)

6. Volume percent ((v/v) %)

Mole fraction:

It is defined as the ratio of the number of moles of particular component to the total number of moles of all the components in the mixture. It is represented by X.

The expression for the mole fraction is as follows:

{\text{Mole}}\;{\text{fraction}}\left( {\text{X}} \right)=\dfrac{{{\text{Moles}}\;{\text{of}}\;{\text{component}}}}{{{\text{Total number of moles}}}}                                            …… (1)

The formula to calculate the moles of substance is as follows:

{\text{Moles of substance}} = \dfrac{{{\text{Given mass of substance}}}}{{{\text{Molar mass of substance}}}}        ...... (2)                              

Substitute 23.7 g for the given mass and 110.98 g/mol for the molar mass in equation (2) to calculate the moles of {\text{CaC}}{{\text{l}}_{\text{2}}}.

 \begin{aligned}{\text{Moles of CaC}}{{\text{l}}_2}&= \left( {23.7{\text{ g}}} \right)\left( {\frac{{{\text{1 mol}}}}{{{\text{110}}{\text{.98 g}}}}} \right)\\&= 0.2136{\text{ mol}}\\\end{aligned}

Substitute 375 g for the given mass and 18.02 g/mol for the molar mass in equation (2) to calculate the moles of {{\text{H}}_{\text{2}}}{\text{O}}.

\begin{aligned}{\text{Moles of }}{{\text{H}}_2}{\text{O}} &= \left( {{\text{375 g}}} \right)\left( {\frac{{{\text{1 mol}}}}{{{\text{18}}{\text{.02 g}}}}} \right)\\&= 20.8102{\text{ mol}}\\\end{aligned}

One mole of {\text{CaC}}{{\text{l}}_{\text{2}}} produces two moles of chlorine ions and one mole of calcium ions so the number of moles of {\text{C}}{{\text{a}}^{2 + }} is the same as that of {\text{CaC}}{{\text{l}}_{\text{2}}}. The moles of   can be calculated as follows:

 \begin{aligned}{\text{Moles of C}}{{\text{l}}^ - }&= 2\left( {0.2136{\text{ mol}}} \right)\\&= 0.4272{\text{ mol}}\\\end{aligned}

The formula to calculate the total number of moles in given solution is as follows:

{\text{Total moles}}={\text{Moles of C}}{{\text{a}}^{2 + }} + {\text{Moles of C}}{{\text{l}}^ - } + {\text{Moles of }}{{\text{H}}_2}{\text{O}}  ...... (3)                            

Substitute 0.2136 mol for the moles of {\text{C}}{{\text{a}}^{2 + }}, 0.4272 mol for the moles of {\text{C}}{{\text{l}}^ - } and 20.8102 mol for the moles of {{\text{H}}_{\text{2}}}{\text{O}} in equation (3).

 \begin{aligned}{\text{Total moles}}&= 0.2136{\text{ mol}} + 0.4272{\text{ mol}} + 20.8102{\text{ mol}}\\&= {\text{21}}{\text{.451 mol}}\\\end{aligned}

Substitute 0.4272 mol for the moles of component and 21.451 mol for the total number of moles in equation (1) to calculate the mole fraction of {\text{C}}{{\text{l}}^ - }.

 \begin{aligned}{\text{Mole fraction of C}}{{\text{l}}^ - }&= \frac{{0.4272{\text{ mol}}}}{{21.451{\text{ mol}}}}\\&= 0.0199\\\end{aligned}

Learn more:

  1. Calculation of volume of gas: brainly.com/question/3636135
  2. Determine the moles of water produced: brainly.com/question/1405182

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Concentration terms

Keywords: mole fraction, Ca2+, Cl-, CaCl2, 0.0199, mole fraction of Cl-, moles of CaCl2, moles of H2O, moles of Cl-, 0.4272 mol, 21.451 mol, 0.2136 mol, 20.8102 mol, molar mass, 18.02 g/mol, 110.98 g/mol.

You might be interested in
Which of the following electron configurations correspond to an excited state? Identify the atoms and write the full, ground sta
Aleksandr [31]
I think it’s 1s22s23p1 not sure doe
8 0
3 years ago
When the mixture was moved from room temperature to a higher temperature, the mixture turned darker brown. Which of the followin
Wittaler [7]

Answer:

The equilibrium between the two forms of the gas is disturbed at high temperatures.

7 0
3 years ago
Which formula id correctly paired with its name? A. MgSO↓ = magnesium chlorine
Nostrana [21]
D. CuCl2 copper(2)chloride 
4 0
3 years ago
The pressure on 2.50 L of gas is changed from 4.5 atm to 2.2 atm. What is the new volume of gas?
swat32

Answer:

<h2>5.11 L</h2>

Explanation:

The new volume can be found by using the formula for Boyle's law which is

P_1V_1 = P_2V_2

Since we are finding the new volume

V_2 =  \frac{P_1V_1}{P_2}  \\

From the question we have

V_2 =  \frac{2.5 \times 4.5}{2.2}  =  \frac{11.25}{2.2}  \\  = 5.1136666...

We have the final answer as

<h3>5.11 L</h3>

Hope this helps you

8 0
3 years ago
Glve the number of significant figures in this number: 40
Eddi Din [679]

Answer:

1

only 4 is the significant figure

we take tailing zeroes as significant figures only in case of decimals

3 0
3 years ago
Read 2 more answers
Other questions:
  • If given 5.98 x 10^24 atoms of Copper, how many kilograms do you have?
    11·1 answer
  • What is the mass in 6.34x10^23 molecules of calcium chloride
    12·1 answer
  • During this reaction, P4 + 5O2 → P4O10, 1.5 moles of product were made in seconds. What is the rate of reaction? 0.011 g/min 210
    14·2 answers
  • Paint, paint thinners and some cleaning agents can weaken the shell of a hard hat and may eliminate
    9·1 answer
  • A swimming pool has the dimensions of 10 meters, 5 meters, and 1 meter. what is the pools volume?
    7·1 answer
  • plz answer fast Which is not a crystalline allotrope of carbon? Select one: a. soot b. diamond c. graphite
    11·1 answer
  • What is the molar mass of ethanol (C2H60)?
    7·2 answers
  • If a rock had a mass of 20g explain how you would fund the density
    15·2 answers
  • What is the chemical equation for <br><br> 3fe(s)+4h2o(l)→fe3o4(s)+4h2(g)
    6·2 answers
  • The electron configuration of bromine is 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p5 classify electrons in each.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!