Question

it is required to reduce the volume of a gas by 20% by compressing it at a constant pressure.To do so, the gas has to be cooled. If the gas attains a final temperature of 157degree celsius, find the initial temperature of the gas

Answer 1

Let V1 be the initial volume of gas, V2 be the final volume, T1 be the temperature corresponding to V1 and T2 be the temperature corresponding to V2

Here V2 = V1-0.2V1 = 0.8 V1
T2 = 157 deg C = 430 K

Applying Charles law, V1/V2 = T1/T2

Substituting the values and solving for T1,
T1 = 537.3K