Question

What happens to the volume of a gas when you double the number of moles of gas while keeping the temperature and pressure constant?

Answer 1

Answer: The volume of the gas also gets double when number of moles are doubled.

Explanation:

The relationship of number of moles and volume at constant temperature and pressure was given by Avogadro's law. This law states that volume is directly proportional to number of moles at constant temperature and pressure.

The equation used to calculate number of moles is given by:

$\frac{V_1}{n_1}=\frac{V_2}{n_2}$

where,

$V_1\text{ and }n_1$ are the initial volume and number of moles

$V_2\text{ and }n_2$ are the final volume and number of moles

We are given:

$n_2=2n_1$

Putting values in above equation, we get:

$\frac{V_1}{n_1}=\frac{V_2}{2n_1}\\\\V_2=\frac{2n_2\times V_1}{n_1}=2V_2$

Hence, the volume of the gas also gets double when number of moles are doubled.