To what temperature should a gas cylinder be heated at a temperature of 0 degrees

To what temperature should a gas cylinder be heated at a temperature of 0 degrees Celsius in order for the pressure to double?

Given:

T1 = 0 degrees Celsius = 273 degrees Kelvin – the initial gas temperature;

P1 = P – initial gas pressure;

P2 = 2 * P – final gas pressure.

It is required to determine T2 – the final gas temperature.

Since, according to the condition of the problem, the gas is heated in a cylinder, that is, V1 = V2, then:

P1 / T1 = P2 / T2

P / T1 = 2 * P / T2

1 / T1 = 2 / T2

T2 = 2 * T1 = 2 * 273 = 546 degrees Kelvin = 273 degrees Celsius.

Answer: the gas in the cylinder must be heated to a temperature of 273 degrees Celsius (546 degrees Kelvin).