(a) Explanation Sketch the T − s diagram for the ideal gas refrigeration cycle as in Figure (1). Write the relation between temperature and pressure for an isentropic process. T 2 s = T 1 ( P 2 P 1 ) ( k − 1 ) / k (I) Here, the specific heat ratio of helium is k , initial temperature of an isentropic process is T 1 , temperature at the exit of an isentropic process is T 2 s , initial pressure is P 1 , and the pressure at the exit of an isentropic process is P 2 . Write the formula for the isentropic efficiency of the turbine ( η T ) . η T = h 3 − h 4 h 3 − h 4 s η T = T 3 − T 4 T 3 − T 4 s (II) Here, specific enthalpy at the turbine inlet is h 3 , specific enthalpy at the isentropic exit of turbine is h 4 s , specific enthalpy at the actual exit of turbine is h 4 , temperature at the inlet of turbine is T 3 , temperature at the isentropic exit of turbine is T 4 s , and the temperature at the actual exit of turbine is T 4 . Write the formula for the isentropic efficiency of the compressor ( η C ) . η C = h 2 s − h 1 h 2 − h 1 η C = T 2 s − T 1 T 2 − T 1 (III) Here, specific enthalpy at the compressor inlet is h 1 , specific enthalpy at the isentropic exit of compressor is h 2 s , specific enthalpy at the actual exit of compressor is h 2 , and the temperature at the actual exit of compressor is T 2 (b) To determine The coefficient of performance for the ideal gas refrigeration cycle. (c) To determine The mass flow rate of the helium for the ideal gas refrigeration cycle.

8th Edition

ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

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Question

Chapter 11.10, Problem 73P

(a)

To determine

The minimum temperature in the ideal gas refrigeration cycle.

(b)

To determine

The coefficient of performance for the ideal gas refrigeration cycle.

(c)

To determine

The mass flow rate of the helium for the ideal gas refrigeration cycle.

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Chapter 11.10, Problem 71P

Chapter 11.10, Problem 74P

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