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The figure below is a pressure versus volume graph where the different curves re

ID: 1482450 • Letter: T

Question

The figure below is a pressure versus volume graph where the different curves represent different processes done on a gas. Starting at the origin to point 1, the pressure and volume are increased to 2677 Pa and 3.74 m^3 respectively. From 1 to 2 the gas expands at constant pressure to a volume of 6.74 m^3. From 2 to 3 the pressure rises to 4574 Pa. And finally from 3 to 4 the gas expands again to 11.70 m^3. Using the ranking module, rank the curves from the most positive to the most negative amount of work done on the gas. What is the total work done on the gas? W0-4 =

Explanation / Answer

Here ,

for the work done

as work done by gas = area under the P-V curve

for the work done on the gas

W0 - 1 = - 0.5 * (2677 * 3.74)

W0 - 1 = -5006 J

for W1-2

W1-2 = - 2677 * (6.74 - 3.74)

W1-2 = -8031 J

for W2-3

W2-3 = 0

for W3-4

W3-4 = - 4574 * (11.70 - 6.74)

W3-4 = -22687 J

the rank of the work done on the gas is

2-3

0 -1

1 -2

3 - 4

--------------

b) total work done = -5006 -8031 + 0 -22687


total work done = -35724 J

the total work done on the gas is -35724 J

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