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Question

At constant temperature, the pressure of a sample of gas is inversely proportional to its volume. I have some oxygen in a 2.28 liter container with a pressure of 5 kPa. If I move all of it to a 5.7 liter container at the same temperature, what will the new pressure be in kPa?

Accepted Answer

Since the pressure p of the oxygen and the volume v are inversely proportional, pv=k for some constant k. From the first container, we know that k=2.285=11.4. Consequently, when we move it to the 5.7 liter container, we get that 5.7p=11.4, so p=2.