Energy Analysis of Control Volumes at Steady

Chapter 4, Problem 44P

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QUESTION:

Air expands through a turbine operating at steady state. At the inlet, \(p_1=150 \mathrm{lbf} / \mathrm{in} .{ }^2, T_1=1400^{\circ} \mathrm{R}\), and at the exit, \(p_2=14.8 \mathrm{lbf} / \mathrm{in}{ }^2, T_2=700^{\circ} \mathrm{R}\). The mass flow rate of air entering the turbine is \(11 \mathrm{lb} / \mathrm{s}\), and \(65,000 \mathrm{Btu} / \mathrm{h}\) of energy is rejected by heat transfer. Neglecting kinetic and potential energy effects, determine the power developed, in hp.

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QUESTION:

Air expands through a turbine operating at steady state. At the inlet, \(p_1=150 \mathrm{lbf} / \mathrm{in} .{ }^2, T_1=1400^{\circ} \mathrm{R}\), and at the exit, \(p_2=14.8 \mathrm{lbf} / \mathrm{in}{ }^2, T_2=700^{\circ} \mathrm{R}\). The mass flow rate of air entering the turbine is \(11 \mathrm{lb} / \mathrm{s}\), and \(65,000 \mathrm{Btu} / \mathrm{h}\) of energy is rejected by heat transfer. Neglecting kinetic and potential energy effects, determine the power developed, in hp.

ANSWER:

Solution 44P

Step 1 of 4

The objective here is to calculate the power developed by a turbine as air expands through it when operating at steady state. The uniform mass flow rate, pressure and temperature at inlet and exit and the energy rejected by the heat transfer are given.

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