A gas is held at atmospheric pressure, approximately 100kPa, and room temperature, 298K, in a container closed with a piston. The piston is initially in a fixed position so the container has a volume of 2.0dm3.
The gas is heated to a temperature of 100∘C
What is the pressure in the container?

125 KPa

Explanation:

Data obtained from the question include:

Initial pressure (P1) = 100 KPa

Initial temperature (T1) = 298 K

Final temperature (T2) = 100°C = 100°C + 273 = 373 K

Final pressure (P2) =..?

Since the volume of the container is fixed, the final pressure in the container can be obtained as follow:

P1/T1 = P2/T2

100/298 = P2/373

Cross multiply

298 x P2 = 100 x 373

Divide both side by 298

P2 = (100 x 373) / 298

P2 = 125.2 ≈ 125 KPa

Therefore, the final pressure in the container is approximately 125 KPa.

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