Since the graph between P and T is a straight line passing through the origin, therefore PT.
P can only be proportional to T when the volume is kept constant. This can be easily proved from the ideal gas equation which is
Since R is already a constant, if volume also becomes constant then PT.
Constant volume implies ΔV=0.
We know that,
Work done = force ×displacement
Volume = area ×displacement
Work done=pressure ×volume
Let change in the volume of system = ΔV = V2-V1
Thus, work done by the system W
For ΔV=0, W=0.
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