Question

If the absolute temperature of a given quantity of gas is doubled and the pressure tripled, what happens to the volume of the gas?​

Answer 1

ANSWER: The volume quadruples.

EXPLANATION: We can use the combined gas laws to solve the problem.

p¹v¹ / t¹ = p²v²/ t²

Where

p¹ and p² are the pressure of the gases

v¹ and t² are the volumes

t¹ and t² are the Kelvin temperatures

We can rearrange the equation and get

v² = v¹ × p¹ /p² × t²/ t¹

In this problem

p¹= p¹;p²=0.5p¹

v¹=v¹;v²=?

t¹=t¹;t²=2v¹

there for v²= v¹= p¹/0.5p¹×2t¹/t¹=4v¹

v²/v¹=4v¹/v¹ = 4

Thus,doubling the Kelvin temperature and halving the pressure quadruple the volume.

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