A pressure cooker has a volume of 0.011 m3 and initially

Chapter 4, Problem 4.124

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A pressure cooker has a volume of \(0.011 \mathrm{m}^{3}\) and initially contains a two-phase liquid–vapor mixture of \(\mathrm{H}_{2} \mathrm{O}\) at a temperature of \(100^{\circ} \mathrm{C}\) and a quality of 10%. As the water is heated at constant volume, the pressure rises to 2 bar and the quality becomes 18.9%. With further heating a pressure-regulating valve keeps the pressure constant in the cooker at 2 bar by allowing saturated vapor at 2 bar to escape. Neglecting kinetic and potential energy effects,

(a) determine the quality of the \(\mathrm{H}_{2} \mathrm{O}\) at the initial onset of vapor escape (state 2) and the amount of heat transfer, in kJ, to reach this state.

(b) determine the final mass in the cooker, in kg, and the additional amount of heat transfer, in kJ, if heating continues from state 2 until the final quality is 1.0.

(c) plot the quantities of part (b) versus quality increasing from the value at state 2 to 100%.

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