Two samples of an ideal gas are initially at the same temperature and pressure. they are each compressed reversibly from a volume v to volume v/2, one isothermally (sample 1), the other adiabatically (sample 2). part a in which sample is the final pressure greater?

In adiabatic case

Explanation:

Let us suppose Initial condition

be the initial pressure and volume of gas

and

be the final pressure

In Isothermal case

Temprature is costant therefore

PV=constant

for adiabatic case

and we know is greater than 1

therefore In adiabatic case pressure will be high.