Question

Figure shows a cylinder containing gas compressed by the movement of a piston.
Initially the volume of the gas was $470c{m}^3.$ The piston moves up and and compresses the gas to a volume of $60c{m}^3.$ The whole arrangement is left for some time until the gas cools to its original temperature. The pressure of the gas is now $800kPa.$
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.

Answer 1

we knwo that $PV=nRT$

where P is pressure and V is volume.

$P_2=800kPa$

$V_1=470c{m}^3$ and $V_2=60c{m}^3$

If it was not given time to cool to its original temperature

Then Temperature would be higher because and speed of molecule would increase.