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I am doing some practice problems to prepare for an exam and i cannot solve this problem, specifically part a but I would like to check this problem

A piston cylinder device contains 0.8 kg of air initially at 100 kPa, 27 °C. The air is now compressed slowly in a polytropic process during which PV^1.3 =constant, until the volume reaches 1/2 its original volume. The system is then heated at constant pressure until the volume gets back to its original value. NOTE: THIS IS NOT A CYCLE.

Data: Rair = 0.287 kJ/kg K; Cv=0.731 kJ/kg K; Cp=1.018 kJ/kgK.

  1. a)  Determine the amounts AND directions of the Work and Heat(each in kJ) for each of the two processes. show all work used to get your values.

  2. b)   Sketch the two processes on a P-v diagram, clearly showing all three state points and the two processes with their directions.

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