A gas with a volume of 10m3 at a pressure of 100 kPa was compressed at a constant temperature

A gas with a volume of 10m3 at a pressure of 100 kPa was compressed at a constant temperature, its pressure became equal to 400 kPa, find the volume of compressed gas.

Given:

V1 = 10 m ^ 3 – initial gas volume;

P1 = 100 kPa = 10 ^ 5 Pa – initial gas pressure;

P2 = 400 kPa = 4 * 10 ^ 5 Pascal – final gas pressure;

T1 = T2 = const – the process temperature did not change.

It is required to determine the final gas volume V2 (m ^ 3).

Since, according to the condition of the problem, the process temperature did not change, then:

P1 * V1 = P2 * V2;

V2 = P1 * V1 / P2 = 10 * 10 ^ 5 / (4 * 10 ^ 5) = 10/4 = 2.5 m ^ 3.

Answer: the volume of gas as a result of compression has become equal to 2.5 cubic meters.