A piston-cylinder device contains 0.03 m3 of nitrogen at a pressure of 300 kPa. The atmospheric pressure

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A piston-cylinder device contains 0.03 m3 of nitrogen at a pressure of 300 kPa. The atmospheric pressure is 100 kPa and the spring pressed against the piston has a spring constant of 256.7 kN/m. Heat is now transferred to the gas until the volume doubles. If the piston has a diameter of 0.5 m, determine
(a) The final pressure of nitrogen.
(b) The work transfer from nitrogen to the surroundings.
(c) The fraction of work that goes into the atmosphere.
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