A gas is compressed to half its volume in two different ways : (ii) very slowly. In which process will the work done on the gas be higher?

Explanation

let the initial state of the gas be represented by the point A on a pV diagram. (fig.)
(ii) When the gas is compressed very slowly, it is an isothermal process. This compression is represented by the curve AC. So the work done area ACDEA.
The adiabatic curve is always steeper than the isothermal curve at a point. So the line AB is above the line AC in the diagram.
Then clearly, area ABDEA > area ACDEA. This means that a higher amount of work will be done on the gas in the rapid process.