   Chapter 12, Problem 68AP

Chapter
Section
Textbook Problem

An ideal gas initially at pressure P0, volume V0, and temperature T0 is taken through the cycle described in Figure P12.68. (a) Find the net work done by the gas per cycle in terms of P0 and V0. (b) What is the net energy Q added to the system per cycle? (c) Obtain a numerical value for the net work done per cycle for 1.00 mol of gas initially at 0°C. Hint: Recall that the work done by the system equals the area under a PV curve. Figure P12.68

(a)

To determine

The net work done by the gas per cycle.

Explanation

Given Info:

The width of rectangle is 2V0.

The height of rectangle is 2P0

The net work done by the gas in a full cycle is always equal to the total area enclosed by the graph in its PV diagram.

Formula to calculate the area is,

A=(W1×H1)

• W1 is the width of rectangle
• H1 is the height of rectangle

Substitute 2V0</

(b)

To determine

the net energy added to the system per cycle.

(c)

To determine

The numerical value for the net work done per cycle.

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