Chapter 13.3, Problem 47SSC

Interpretation Introduction

Interpretation:

The relationship between volume and number of moles of gas is to be studied at constant temperature and pressure

Concept introduction:

It can be explained by Avogadro's Law.

Answer to Problem 47SSC

Volume of gas is directly proportional to number of moles of the gas keeping the temperature and pressure constant.

Explanation of Solution

According to this law, equal volume of all gases contains equal number of molecules.

Numerically,

$\begin{array}{l}V\propto n\\ or\\ \frac{V_1}{{\mathrm{n}}_1}=\frac{V_2}{{\mathrm{n}}_2}\end{array}$

Where

$\mathrm{V}$ is volume of the gas

$\mathrm{n}$ is the number of moles of the gas

Conclusion

For constant pressure and temperature of gas, volume is directly proportional to number of moles of the gas

 • $V\propto n$