In the process of heating the gas at a constant volume, its pressure increased from 1 at. up to 3 at.

In the process of heating the gas at a constant volume, its pressure increased from 1 at. up to 3 at. Determine how the gas temperature has changed if the initial temperature was 10 °.

Given:

P1 = 1 atmosphere – initial gas pressure;

P2 = 3 atmospheres – gas pressure after the heating process;

T1 = 10 ° Celsius – initial gas temperature.

It is required to determine T2 (degrees Celsius) – the gas temperature after heating.

Let’s convert the units of measurement of temperature to the SI system:

T1 = 10 ° Celsius = 10 + 273 = 283 ° Kelvin.

Then, to determine the final gas temperature, you must use the following formula:

P1 / T1 = P2 / T2;

T2 = P2 * T1 / P1 = 3 * 283/1 = 3 * 283 = 849 ° Kelvin = 576 ° Celsius.

Answer: after the process of heating the gas, its temperature became equal to 576 degrees Celsius.