Question

A gas has a volume of 0.7 L at 300 mmHg. what would be the new volume at 900 mmHg

Answer 1

Answer: The new volume of the gas will be 0.233L.

Explanation:

To calculate the new volume of the gas, we will use the equation given by Boyle's Law.

The above law states that the pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

Mathematically,

$P\propto \frac{1}{V}$    (At constant temperature and number of moles)

or,

$P_1V_1=P_2V_2$

where,

$P_1\text{ and }V_1$ are the initial pressure and volume of the gas.

$P_2\text{ and }V_2$ are the final pressure and volume of the gas.

We are given:

$P_1=300mmHg\\V_1=0.7L\\P_2=900mmHg\\V_2=?L$

Putting values in above equation, we get:

$300\times 0.7=900\times V_2\\\\V_2=0.233L$

Hence, the new volume of the gas will be 0.233L.