One kmol of an ideal gas with constant heat capacity, cp = 20 kJ/kmol K, is compressed adiabatically from 100 kPa and 10°C to 0.5 MPa. The process is irreversible and requires twice the work than a...

One kmol of an ideal gas with constant heat capacity, cp = 20 kJ/kmol K, is compressed adiabatically from 100 kPa and 10°C to 0.5 MPa. The process is irreversible and requires twice the work than a reversible adiabatic compression from the initial to the final state

a. How much work is required?

 b. What is the entropy change of the gas?

 c. What is the irreversibility of the process?