On a Pv diagram what does the area under die process curve r

On a P-v diagram, what does the area under die process curve represent? Is it possible to compress an ideal gas isothermally in an adiabatic piston-cylinder device? Explain.

Solution

2)Area under the process curve represents the net work done during the process.

3)Q=U+W

With adiabatic Q=0

If some work is done then U will be non zero.And since U is internal energy change it should result in temperature change.

With isothermal process we r also saying U=0 but that would imply that W=0.However we did work since compression requires work to be done.So it is not possible.