Question

# Figure shows a cylinder containing gas compressed by the movement of a piston.Initially the volume of the gas was $$470\,cm^3.$$ The piston moves up and and compresses the gas to a volume of $$60\,cm^3.$$ The whole arrangement is left for some time until the gas cools to its original temperature. The pressure of the gas is now $$800\,k\,Pa.$$Explain, in terms of molecules the effect on the pressure of the gas if it was not given time to cool to its original temperature.

Solution

## we knwo that $$PV=nRT$$where P is pressure and V is volume.$$P_2=800\,kPa$$$$V_1=470\,cm^3$$ and $$V_2=60\,cm^3$$If it was not given time to cool to its original temperatureThen Temperature would be higher because and speed of molecule would increase.Physics

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