If the pressure on a gas is decreased by one-half, how large will the volume change be?

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If the pressure on a gas is decreased by one-half, how large will the volume change be?

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Answer 1 · 2017-06-13T04:36:14

The volume will increase by a factor of $2$ $2$ .

Explanation:

Boyle's Law states that the pressure of a gas is inversely proportional to its volume, assuming that all other variables are constant.

CyberPhysics

Modeled by the equation: $P_{1} V_{1} = P_{2} V_{2}$ $P_"1"V_"1"=P_"2"V_"2"$

where:

$P$ $P$ is the pressure in whatever units you desire. The units must be used consistently. I prefer atmospheric pressure .

$V$ $V$ is the volume of the gas in whatever units you desire. The units must be used consistently. I prefer litres.

the subscripts $1$ $1$ and $2$ $2$ are before and after the change, respectively.

Due to the inverse proportion of the pressure of the gas and its volume, if the pressure was decreased to $\frac{1}{2}$ $1/2$ of what it was, that results in the volume increasing by a factor of $2$ $2$ .

Hope this helps :)

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If the pressure on a gas is decreased by one-half, how large will the volume change be?

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Explanation:

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