
Concept explainers
Interpretation:
The partial molar volume of
Concept Introduction:
The partial molar volume is the contribution that a component of mixture makes to the total volume of a sample. The partial molar volume of a substance is expressed as,

Answer to Problem 5A.5P
The partial molar volume of
5 | 1.0151 | 0.006 | -15.946 |
10 | 1.107 | 0.012 | -10.357 |
15 | 1.167 | 0.0195 | -3.37075 |
20 | 1.23 | 0.027 | 3.6155 |
The graph between mole fraction of
Figure 2
Explanation of Solution
The data of mass densities of aqueous solution of
5 | 1.0151 |
10 | 1.107 |
15 | 1.167 |
20 | 1.23 |
The moles of
The molar mass of
Substitute the molar mass of
The density of the solution (
Where,
Therefore, the molar density of the solution (
Where,
The volume of the solution is given by the formula below.
The mass of the solution is
Substitute the value of mass of solution in (3).
Substitute the value of
The mass of water (
Substitute the value of
The total molar volume of the solution (
Substitute the value of
The mass of
The density (
The molar mass of
The molar mass of
Substitute the value of
The mole fraction of
The mass of
Substitute the mass of
Similarly the values of
5 | 1.0151 | 0.006 | 17.94 |
10 | 1.107 | 0.012 | 17.86 |
15 | 1.167 | 0.0195 | 17.81 |
20 | 1.23 | 0.027 | 17.81 |
The values of
Figure 1
The data was fit to a second order polynomial using the POLY program to generate the equation given below.
The partial molar volume of a substance (
Where,
Differentiate equation (9) with respect to
Substitute the value of
Similarly the values of
0.006 | -15.946 |
0.012 | -10.357 |
0.0195 | -3.37075 |
0.027 | 3.6155 |
The graph between mole fraction of
Figure 2
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Chapter 5 Solutions
Atkins' Physical Chemistry
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