Q. 7

# An ideal gas goes

Since the graph between P and T is a straight line passing through the origin, therefore P T.

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

PV=RT

Since R is already a constant, if volume also becomes constant then P T.

Constant volume implies ΔV=0.

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

W=PΔV

For ΔV=0, W=0.

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