Solved: Consider a Carnot vapor refrigeration cycle with

Chapter 10, Problem 10.4

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QUESTION:

Consider a Carnot vapor refrigeration cycle with Refrigerant 134a as the working fluid. The cycle maintains a cold region at \(40^{\circ} \mathrm{F}\) when the ambient temperature is \(90^{\circ} \mathrm{F}\). Data at principal states in the cycle are given in the table below. The states are numbered as in Fig. 10.1. Sketch the T–s diagram for the cycle and determine the

(a) temperatures in the evaporator and condenser, each in \({ }^{\circ} \mathrm{R}\).

(b) compressor and turbine work, each in Btu per lb of refrigerant flowing.

(c) coefficient of performance.

(d) coefficient of performance for a Carnot cycle operating at the reservoir temperatures.

Compare the coefficients of performance determined in (c) and (d), and comment.

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QUESTION:

Consider a Carnot vapor refrigeration cycle with Refrigerant 134a as the working fluid. The cycle maintains a cold region at \(40^{\circ} \mathrm{F}\) when the ambient temperature is \(90^{\circ} \mathrm{F}\). Data at principal states in the cycle are given in the table below. The states are numbered as in Fig. 10.1. Sketch the T–s diagram for the cycle and determine the

(a) temperatures in the evaporator and condenser, each in \({ }^{\circ} \mathrm{R}\).

(b) compressor and turbine work, each in Btu per lb of refrigerant flowing.

(c) coefficient of performance.

(d) coefficient of performance for a Carnot cycle operating at the reservoir temperatures.

Compare the coefficients of performance determined in (c) and (d), and comment.

ANSWER:

Step 1 of 6

A Carnot vapor refrigeration cycle is used to maintain a cold region at a specified temperature for a specified ambient temperature. Operating data are provided at principal states of the cycle.

We need to determine the (a) the temperatures in the evaporator and condenser, (b) compressor and turbine work per unit mass of refrigerant flowing, (c) coefficient of performance, and (d) coefficient of performance for a Carnot cycle operating at the reservoir temperatures. Compare the results of  and  and comment.

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