The pressure p and volume V of an ideal gas both increase in a process.

We know that,


Work done = force ×displacement



Volume = area ×displacement


Therefore,


Work done=pressure ×volume


Let change in the volume of system = ΔV = V2-V1


Pressure =P


Thus, work done by the system W


ΔW=PΔV


It is given that volume in increasing i.e. ΔV>0. So, ΔW>0 and positive.


From ideal gas equation, we know that


PV=nRT


Where P=pressure


V=volume


n=number of moles


R=gas constant


T=temperature


So, if both pressure and volume are increasing, then


the temperature must also increase as n and R are constant.

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