A Carnot vapor power cycle operates with water as the

Chapter 8, Problem 8.6

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QUESTION:

A Carnot vapor power cycle operates with water as the working fluid. Saturated liquid enters the boiler at 1800 lbf/in.\(^{2}\), and saturated vapor enters the turbine (state 1). The condenser pressure is 1.2 lbf/in.\(^{2}\) The mass flow rate of steam is 1 X 10\(^{6}\) lb/h. Data at key points in the cycle are provided in the accompanying table. Determine

(a) the thermal efficiency.

(b) the back work ratio.

(c) the net power developed, in Btu/h.

(d) the rate of heat transfer to the working fluid passing through the boiler, in Btu/h.

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QUESTION:

A Carnot vapor power cycle operates with water as the working fluid. Saturated liquid enters the boiler at 1800 lbf/in.\(^{2}\), and saturated vapor enters the turbine (state 1). The condenser pressure is 1.2 lbf/in.\(^{2}\) The mass flow rate of steam is 1 X 10\(^{6}\) lb/h. Data at key points in the cycle are provided in the accompanying table. Determine

(a) the thermal efficiency.

(b) the back work ratio.

(c) the net power developed, in Btu/h.

(d) the rate of heat transfer to the working fluid passing through the boiler, in Btu/h.

ANSWER:

Step 1 of 6

Water is the working fluid in a Carnot vapor power cycle. Data are given at key state points in the cycle, and the mass flow rate of steam is known.

We need to determine (a) the thermal efficiency, (b) the back work ratio, (c) the net power developed, and (d) the rate of heat transfer to the working fluid passing through the boiler.

Schematic and given data

See Cycle 1-2-3'-4' of Fig. 8.5 for a diagram of the cycle.

We assume that

(1) Each component is analyzed as a control volume at steady state.

(2) All processes of the working fluid are internally reversible

(3) The turbine and pump operate adiabatically

(4) Kinetic and potential energy effects are negligible.

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