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`

Step-by-step 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)

`(V_1)/(T_1)=(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`

`(0.5)/(293.15)=(V_2)/(318.15)`

`V_2=0.5457875m^3`

Thus the final volume is
`0.5457875m^3`