How will the volume of a gas be affected if the pressure is tripled, but the temperature remains the same?

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How will the volume of a gas be affected if the pressure is tripled, but the temperature remains the same?

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Answer 1 · 2017-07-02T23:26:08

It decreases by a factor of $\frac{1}{3}$ $1/3$ .

Explanation:

Boyle's law states that the pressure of a gas and the volume it occupies are inversely proportional.

$V \propto \frac{1}{P}$ $V prop 1/P$

Therefore, if the $sfcolor(red)("pressure")$ $sfcolor(red)("increases"$ by a factor of $3$ (tripled), then at constant temperature, we expect the $sfcolor(blue)("volume"$ to $sfcolor(blue)("decrease"$ by a factor of $1/3$ ("cut in third").

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How will the volume of a gas be affected if the pressure is tripled, but the temperature remains the same?

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