Determine the temperature after compression in k the work

Question

Question 2:

Hydrogen gas (c_p = 14.513 kJ/kg.K, c_v = 10.38911/kg.K, k = 1.397, R = 4.124 kJ/kg.K) is compressed in a piston cylinder device in a reversible and adiabatic manner. The initial conditions are 5.0 L, 17^oC, 200 kPa and the final volume is 0.25 L. Determine:

a. The temperature after compression, in K.

b. The work required to compress the gas, in kJ.