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A piston/cylinder device has 2.5 kg of air at 350K and 200kPa. It has a non-linear spring attached to the piston such that the pressure is related to the volume according to P-AVI.2+B where "A" and "B" are constants and where P is the absolute pressure in kPa and where Vis the volume in m'. The piston/cylinder device is heated from a heat source at 1600K. First, the piston moves under the spring action until the temperature becomes to 950K just before it hits stops. The volume of the cylinder at the stops is 1.5m'. Heating continues while the piston's movement is constrained by the stops until the temperature reaches 1300K. Find the pressure when the temperature reaches 950K at the stops and the final pressure when the temperature reaches 1300K. Also, find the work done and the total heat transfer during the entire heating process. Compute the entropy generation in the whole process. Consider air to behave like an ideal gas with constant specific heats and use a value of 1.004 kJ/(kg K) for Cp and 0.717 kJ/(kg K) for C. For easy reference, call the initial state 1, the state corresponding to just before hitting the stops 2, and the final state 3.

User Peetya
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The answer and explanation to the question are attached in the attachment.

A piston/cylinder device has 2.5 kg of air at 350K and 200kPa. It has a non-linear-example-1
A piston/cylinder device has 2.5 kg of air at 350K and 200kPa. It has a non-linear-example-2
User Ben Carlson
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