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

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

[tex]V\propto T[/tex] (At constant pressure and number of moles)

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

where,

[tex]V_1[/tex] = initial volume of gas = [tex]0.5m^3[/tex]

[tex]T_1[/tex] = initial temperature of gas =[tex]20^oC=273.15+20=293.15K[/tex]

[tex]V_2[/tex] = final volume of gas = 0?

[tex]T_2[/tex] = final temperature of gas = [tex]45^oC=273.15+45=318.15K[/tex]

[tex]\frac{0.5}{293.15}=\frac{V_2}{318.15}[/tex]

[tex]V_2=0.5457875m^3[/tex]

Thus the final volume is [tex]0.5457875m^3[/tex]

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

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