During some actual expansion and compression processes in

Chapter 4, Problem 12P

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QUESTION:

During some actual expansion and compression processes in piston-cylinder devices, the gases have been observed to satisfy the relationship \(P V^{n}=C\), where \(n\) and \(C\) are constants. Calculate the work done when a gas expands from \(350 \mathrm{kPa}\) and \(0.03 \mathrm{~m}^{3}\) to a final volume of \(0.2 \mathrm{~m}^{3}\) for the case of \(n=1.5\).

Equation Transcription:

Text Transcription:

PV^n=C

n

C

350 kPa

0.03 m^3

0.2 m^3

n=1.5

Questions & Answers

QUESTION:

During some actual expansion and compression processes in piston-cylinder devices, the gases have been observed to satisfy the relationship \(P V^{n}=C\), where \(n\) and \(C\) are constants. Calculate the work done when a gas expands from \(350 \mathrm{kPa}\) and \(0.03 \mathrm{~m}^{3}\) to a final volume of \(0.2 \mathrm{~m}^{3}\) for the case of \(n=1.5\).

Equation Transcription:

Text Transcription:

PV^n=C

n

C

350 kPa

0.03 m^3

0.2 m^3

n=1.5

ANSWER:

Step 1 of 3

Given data,

Initial pressure,

Initial volume,

final volume,

polytropic index,

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