When gas expands in a cylinder with radius r, the pressure at any given time is a function of the volume: P = P(V). The force exerted by the gas on the piston (see the figure) is the product of the pressure and the area: F = mr*P. Show that the work done by the gas when the volume expands from volume V, to volume Vz is w = (* PdV Jv. V piston head
When gas expands in a cylinder with radius r, the pressure at any given time is a function of the volume: P = P(V). The force exerted by the gas on the piston (see the figure) is the product of the pressure and the area: F = mr*P. Show that the work done by the gas when the volume expands from volume V, to volume Vz is w = (* PdV Jv. V piston head
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![When gas expands in a cylinder with radius r, the pressure
at any given time is a function of the volume: P = P(V).
The force exerted by the gas on the piston (see the figure) is
the product of the pressure and the area: F = mr*P. Show
that the work done by the gas when the volume expands
from volume V, to volume Vz is
w = (* PdV
Jv.
V
piston head](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23966408-0dba-47ce-a22e-4c8af787cb04%2F40886abf-d308-4f21-973d-0089079d2623%2Fvbxg2xg.png&w=3840&q=75)
Transcribed Image Text:When gas expands in a cylinder with radius r, the pressure
at any given time is a function of the volume: P = P(V).
The force exerted by the gas on the piston (see the figure) is
the product of the pressure and the area: F = mr*P. Show
that the work done by the gas when the volume expands
from volume V, to volume Vz is
w = (* PdV
Jv.
V
piston head
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