Answer: A monatomic ideal gas is taken around the cycle

Chapter 20, Problem 51P

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QUESTION:

Problem 51P

A monatomic ideal gas is taken around the cycle shown in Fig. P20.51 in the direction shown in the figure. The path for process \(\mathrm{c} \rightarrow \mathrm{a}\) is a straight line in the \(p V \text {-diagram }\). (a) Calculate Q, W, and \(\Delta U\) for each process \(a \rightarrow b, b \rightarrow c\), and \(c \rightarrow a\). (b) What are Q, W, and \(\Delta U\) for one complete cycle? (c) What is the efficiency of the cycle?

Equation Transcription:

Text Transcription:

c-a

pV-diagram

deltaU

a-b,b-c,

c-a

deltaU

3.00x10^5 Pa

1.00x10^5 Pa

0.500 m^3

0.800 m^3

Questions & Answers

QUESTION:

Problem 51P

A monatomic ideal gas is taken around the cycle shown in Fig. P20.51 in the direction shown in the figure. The path for process \(\mathrm{c} \rightarrow \mathrm{a}\) is a straight line in the \(p V \text {-diagram }\). (a) Calculate Q, W, and \(\Delta U\) for each process \(a \rightarrow b, b \rightarrow c\), and \(c \rightarrow a\). (b) What are Q, W, and \(\Delta U\) for one complete cycle? (c) What is the efficiency of the cycle?

Equation Transcription:

Text Transcription:

c-a

pV-diagram

deltaU

a-b,b-c,

c-a

deltaU

3.00x10^5 Pa

1.00x10^5 Pa

0.500 m^3

0.800 m^3

ANSWER:

Solution 51P

Step 1 of  12:

Since in the given problem, the gas we are considering is monatomic ideal gas.

The specific heat capacity for monatomic ideal gas is,

At constant volume,

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