Nitrogen gas is stored at 200 kPa and 100 K in a rigid tank with a volume of 0.5 m3. If the temperature of the gas is increased to 400 K, what is the final pressure in the tank (answer in kPa) ?

The final temperature is 800KPa

Explanation:

The following were obtained from the question:

P1 = 200 kPa

T1 = 100 K

T2 = 400 K

P2 = ?

Since the tank is rigid, the volume of the tank is constant.

Using P1/T1 = P2/T2, we can obtain the new pressure as illustrated below:

200/100 = P2 / 400

Cross multiply to express in linear form:

100 x P2 = 200 x 400

Divide both side by 100

P2 = (200 x 400) / 100

P2 = 800KPa

The final temperature is 800KPa