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Question

At constant temperature, the pressure of a sample of gas is inversely proportional to its volume. I have some hydrogen in a 3.67 liter container with a pressure of 4 kPa. If I move all of it to a 1.835 liter container at the same temperature, what will the new pressure be in kPa?

Accepted Answer

Since the pressure p of the hydrogen and the volume v are inversely proportional, pv=k for some constant k. From the first container, we know that k=3.674=14.68. Consequently, when we move it to the 1.835 liter container, we get that 1.835p=14.68, so p=8 kPa.