At a constant volume V, 1 mole of nitrogen is heated from T₁ = 300 K to T₂ = 500 K. Initial pressure p₁ = 1 bar. Regarding nitrogen is an ideal gas calculate heat q, work w, DU, DH, and DS for this process.

Heat capacity at constant pressure for nitrogen:

C_p = 27.78 + 4.01210³T [J/(mol.K)]