An insulated cylinder is filled with nitrogen gas at 25ºC and 1.00 bar. The nitrogen is then compressed adiabatically with a constant pressure of 5.00 bar until equilibrium is reached. i. What is the final temperature of the nitrogen if it is treated as an ideal gas with molar heat capacity CP = 7/2 R ?
ii. Calculate ΔH (in kJ mol-1 ) and ΔS (in J mol-1 K-1 ) for the compression. (Hint: Because the enthalpy is a state function it can be calculated via any path from the initial state to the final state. So you can calculate the enthalpy change for the reversible path TiPi → TfPi → TfPf.)
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