Chapter U3.16, Problem 2E

Interpretation Introduction

Interpretation: Avogadro’s law needs to be explained.

Concept Introduction: According to Avogadro’s law, if two gases are present at same temperature and pressure and their volumes are also equal then they have same number of molecules.

Explanation of Solution

Avogadro’s law can also be explained as follows:

For an ideal gas of given mass at constant T and P condition, the volume of gas is directly proportional to the number of moles of the gas.

It is mathematically represented as follows:

  $V\propto n$

Also, for two gases say 1 and 2:

  $\frac{V_1}{n_1}=\frac{V_2}{n_2}$

Here, V₁ is volume of gas 1, n₁ is number of moles of gas 1, V₂ is volume of gas 2 and n₂ is number of moles of gas 2.