   Chapter 12, Problem 2P

Chapter
Section
Textbook Problem

Sketch a PV diagram and find the work done by the gas during the following stages. (a) A gas is expanded from a volume of 1.0 L to 3.0 L at a constant pressure of 3.0 atm. (b) The gas is then cooled at constant volume until the pressure falls to 2.0 atm. (c) The gas is then compressed at a constant pressure of 2.0 atm from a volume of 3.0 L to 1.0 L. Note: Be careful of signs. (d) The gas is heated until its pressure increases from 2.0 atm to 3.0 atm at a constant volume. (e) Find the net work done during the complete cycle.

(a)

To determine
the work done by the gas during a gas expanded at constant pressure.

Explanation

Given Info:

The initial volume ( Vi ) of the gas is 1L.

The finial volume ( Vf ) of the gas is 3L.

Constant pressure of the gas is 3 atm.

Formula to calculate work done of the gas,

W=P(VfVi)

• P is the constant pressure.
• VfVi Is the change in volume.

Substitute 3 atm for P and (3L-2L) for V to find work done.

W=[3(1

(b)

To determine
the work done by the gas when it is cooled at constant volume by varying pressure.

(c)

To determine
The work done by a gas when the gas is compressed at constant pressure.

(d)

To determine
the work done by the gas when the gas is heated at constant volume by changing pressure.

(e)

To determine
the total work done by the gas.

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