Answer: Consider a Diesel cycle that starts (at point a in

Chapter 20, Problem 64CP

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QUESTION:

Consider a Diesel cycle that starts (at point a in Fig. 20.7) with air at temperature \(T_{a}\). The air may be treated as an ideal gas. (a) If the temperature at point c is \(T_{c}\), derive an expression for the efficiency of the cycle in terms of the compression ratio r. (b) What is the efficiency if \(T_a=300\mathrm{\ K},\ T_c=950\mathrm{\ K},\ \gamma=1.40, \text { and } r=21.0\)?

Text Transcription:

T_a

T_c

T_a = 300 K, T_c = 950 K, gamma = 1.40, and r = 21.0

Questions & Answers

QUESTION:

Consider a Diesel cycle that starts (at point a in Fig. 20.7) with air at temperature \(T_{a}\). The air may be treated as an ideal gas. (a) If the temperature at point c is \(T_{c}\), derive an expression for the efficiency of the cycle in terms of the compression ratio r. (b) What is the efficiency if \(T_a=300\mathrm{\ K},\ T_c=950\mathrm{\ K},\ \gamma=1.40, \text { and } r=21.0\)?

Text Transcription:

T_a

T_c

T_a = 300 K, T_c = 950 K, gamma = 1.40, and r = 21.0

ANSWER:

Solution 64CP

Step 1:

A)The analysis results in the following three general forms representing an adiabatic

Process

PV diagram

                

where k is the ratio of heat capacities and has a nominal value of 1.4 at 300K for air.

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