   Chapter 12, Problem 32P

Chapter
Section
Textbook Problem

An ideal gas expands at a constant pressure of 6.00 × 105 Pa from a volume of 1.00 m3 to a volume of 4.00 m3 and then is compressed to one-third that pressure and a volume of 2.50 m3 as shown in Figure P12.32 before returning to its initial state. How much work is done in taking a gas through one cycle of the process shown in the figure? Figure P12.32

To determine
the total work done in one cycle.

Explanation

Given Info:

From PV diagram,

The base of the triangle is 3m3 .

The latitude of the triangle is 4×105Pa .

The total work done by a heat engine operating on a cycle is the area enclosed by the curve in PV diagram.

Formula to calculate the area enclosed by the curve in PV diagram is,

A=12(B×H)

• B is the base of the triangle
• H  is the latitude of the triangle

Substitute 3m3 for B and 4×105Pa

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