The following is a Thermodynamics question: A piston-cylinder assembly fitted wi

Question

The following is a Thermodynamics question:

A piston-cylinder assembly fitted with a spring is shown in the figure. The cylinder contains water, initially at 538 degree C, and the spring is in a vacuum. The piston face, which has an area of 125 cm2, is initially at x1 = 50 cm. The water is cooled until the piston face is at X2 = 40 cm. The force exerted by the spring varies linearly with x according to F spring = kx, where k = 350 N/cm. Friction between the piston and cylinder is negligible. For the water, determine The initial and final pressure, each in kPa The amount of water present, in kg The work, in kJ The heat transfer, in kJ

Explanation / Answer

(a) initial pressure = 14 kPa, final pressure = 11.2 kPa

(b) assuming density of water to be 1000kg/m^3

      amount of water present = 6.25 kg

(c) work done by water = - 0.01575 kJ

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