   Chapter 12, Problem 4P

Chapter
Section
Textbook Problem

Find the numeric value of the work done on the gas in (a) Figure P12.4a and (b) Figure P12.4b. Figure P12.4

(a)

To determine
the numeric value of the work done on the gas.

Explanation

Given Info:

The width of rectangle is 2.00m3 .

The height of rectangle is 1×105Pa .

The base of triangle is 1m3 .

The height of the triangle is 2×105Pa .

The area under the graph in a PV diagram is equal to the work done on the gas. If the final volume is greater than the initial volume, then the work done on the gas is negative.

The area under the graph in a PV diagram is equal to the work done on the gas. If the final volume is greater than the initial volume, then the work done on the gas is negative.

Formula to calculate the area is,

A=(W1×H1)+12(B1×H2)

• W1 is the width of rectangle
• H1 is the height of rectangle
• B1 is the base of triangle
• H2 is the height of triangle

Substitute 2

(b)

To determine
the numeric value of the work done on the gas.

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