The piston cylinder device shown in the attached image contains a fluid that can

Question

The piston cylinder device shown in the attached image contains a fluid that can be stirred by a rotating shaft. The outer surface of the device is covered with a thick layer of insulation. The shaft imparts 50 kJ to the fluid during a process in which the pressure is held constant at 130 kPa as the piston moves outward.

If the initial energy of the fluid increases by 20 kJ during the process, What is the axial displacement of the piston?

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Explanation / Answer

External Work = Heat = 50 KJ So, 50 KJ = dU + dW (= pdV) So, p*dV = 50 - 20 dV = 30 / 130 = 0.23077 m^3 So, [pi / 4 ]* d^2 * l = 0.23077 So, L = 0.816 m

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