Question

A mass of gas under constant pressure occupies a volume of 0.5 m3 at a temperature of 20 degree Celsius. Using the formula for cubic expansion, what will be the volume at a temperature of 45 degree Celsius without a change in pressure?
A) 0.5228938 m3
B) 0.0228938 m3
C) 0.5457875 m3
D) 0.0457875 m3

Answer 1

The answer is C 0.5457875

Answer 2

Answer: C) 0.5457875 $m^3$

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

$V\propto T$    (At constant pressure and number of moles)

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

where,

$V_1$ = initial volume of gas = $0.5m^3$

$T_1$ = initial temperature of gas =$20^oC=273.15+20=293.15K$

$V_2$ = final volume of gas = 0?

$T_2$ = final temperature of gas = $45^oC=273.15+45=318.15K$

$\frac{0.5}{293.15}=\frac{V_2}{318.15}$

$V_2=0.5457875m^3$

Thus the final volume is $0.5457875m^3$