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.