In are given the equation used to solve a

Chapter 17, Problem 76P

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QUESTION:

In Problems 74 through 76 you are given the equation used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation.

b. Finish the solution of the problem.

\((10 \mathrm{~atm}) V_{2}^{1.40}=(1.0 \mathrm{~atm}) V_{1}^{1.40}\)

Equation Transcription:

Text Transcription:

(10 atm)V_2^1.40=(1.0 atm)V_1^1.40

Questions & Answers

QUESTION:

In Problems 74 through 76 you are given the equation used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation.

b. Finish the solution of the problem.

\((10 \mathrm{~atm}) V_{2}^{1.40}=(1.0 \mathrm{~atm}) V_{1}^{1.40}\)

Equation Transcription:

Text Transcription:

(10 atm)V_2^1.40=(1.0 atm)V_1^1.40

ANSWER:

Step 1 of 2

Part a

The given equation is,

(10 atm)   = (1.0 atm) 

This equation can be compared to that of an adiabatic process equation  constant. Here,  is the ratio of the specific heats at constant pressure and volume. A value of  indicates that the gas concerned is diatomic.

The problem

A diatomic gas at pressure 1.0 atm is compressed adiabatically and the final pressure it reaches is 10 atm. What is the ratio of the initial to the final volume of the gas?

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