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 7.5 L at a constant pressure of 8.0 atm.
J

(b) The gas is then cooled at constant volume until the pressure falls to 1.5 atm.
J

(c) The gas is then compressed at a constant pressure of 1.5 atm from a volume of 7.5 L to 1.0 L. (Note: Be careful of signs.)
J

(d) The gas is heated until its pressure increases from 1.5 atm to 8.0 atm at a constant volume.
J

(e) Find the net work done during the complete cycle.
J

Sketch a PV diagram of the process outlined in parts (a)–(d).

A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points a–d in the following order:

a (1.0, 8.0),

b (1.0, 1.5),

c (7.5, 1.5),

d (7.5, 8.0).

A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points a–d in the following order:

a (1.0, 1.5),

b (1.0, 8.0),

c (7.5, 8.0),

d (7.5, 1.5).

A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points a–d in the following order:

a (1.0, 8.0),

b (7.5, 8.0),

c (7.5, 1.5),

d (1.0, 1.5).

A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points a–d in the following order:

a (7.5, 1.5),

b (7.5, 8.0),

c (1.0, 8.0),

d (1.0, 1.5).

Question

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 7.5 L at a constant pressure of 8.0 atm.
J

(b) The gas is then cooled at constant volume until the pressure falls to 1.5 atm.
J

(c) The gas is then compressed at a constant pressure of 1.5 atm from a volume of 7.5 L to 1.0 L. (Note: Be careful of signs.)
J

(d) The gas is heated until its pressure increases from 1.5 atm to 8.0 atm at a constant volume.
J

(e) Find the net work done during the complete cycle.
J

Sketch a PV diagram of the process outlined in parts (a)–(d).

A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points a–d in the following order: a (1.0, 8.0), b (1.0, 1.5), c (7.5, 1.5), d (7.5, 8.0).	A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points a–d in the following order: a (1.0, 1.5), b (1.0, 8.0), c (7.5, 8.0), d (7.5, 1.5).
A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points a–d in the following order: a (1.0, 8.0), b (7.5, 8.0), c (7.5, 1.5), d (1.0, 1.5).	A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points a–d in the following order: a (7.5, 1.5), b (7.5, 8.0), c (1.0, 8.0), d (1.0, 1.5).

Accepted Answer

Solution:
 
From the above-given data,
 
The PV diagram is as follows: