If $15 L$ of a gas at room temperature exerts a pressure of $5 kPa$ on its container, what pressure will the gas exert if the container's volume changes to $12 L$ ?

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Answer 1 · 2016-05-31T09:51:05

The final pressure is 6250 Pa.

If we assume that the temperature does not change, then the product of pressure and volume has to be constant:

$PV=$ const.

It means that the product of initial pressure and volume has to be the same as the final product of pressure and volume.

$P_iV_i=P_fV_f$

substituting the numbers

$5000*15=P_f*12$
Then the final pressure is

$P_f=5000*15/12=6250$ Pa.

If 15 L15 L of a gas at room temperature exerts a pressure of 5 kPa5 kPa on its container, what pressure will the gas exert if the container's volume changes to 12 L12 L?