Question

a sample of gas with a volume of 30.0 ml at 25.0 °c is heated to 50.0 degrees celsius. what is the new volume of the gas?

Answer 1

Answer : The new volume of the gas is, 32.5 mL

Explanation :

Charles' Law : It states that volume of the gas is directly proportional to the temperature of the gas at constant pressure and number o moles of gas.

Mathematically,

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

where,

$V_1\text{ and }T_1$ are the initial volume and temperature of the gas.

$V_2\text{ and }T_2$ are the final volume and temperature of the gas.

We are given:

$V_1=30.0mL\\T_1=25.0^oC=(25.0+273)K=298K\\V_2=?\\T_2=50.0^oC=(50.0+273)K=323K$

Putting values in above equation, we get:

$\frac{30.0mL}{298K}=\frac{V_2}{323K}\\\\V_2=32.5mL$

Therefore, the new volume of the gas is, 32.5 mL