How many degrees must the gas be isobarically heated so that it occupies a volume twice as large

How many degrees must the gas be isobarically heated so that it occupies a volume twice as large as the volume at 0 * C?

Given:

T1 = 0 ° Celsius = 273 ° Kelvin;

V2 = 2 * V1 – the final gas volume is twice its initial volume.

It is required to determine dt (degree Celsius) – by how many degrees it is necessary to heat the gas.

According to the condition of the problem, the process occurs at constant pressure (isobaric). Then, we find the final gas temperature:

T2 = V2 * T1 / V1 = 2 * V1 * T1 / V1 = 2 * T1 = 2 * 273 = 546 ° Kelvin = 273 ° Celsius.

Then:

dt = T2 – T1 = 273 – 0 = 273 ° Celsius.

Answer: the gas must be heated to 273 ° Celsius.