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Physics
Physics
Problem
A vacuum pump has a cylinder of volume
v
v
v
and is connected to a vessel of volume
V
V
V
to pump out air from the vessel. The initial pressure of gas in vessel is
P
P
P
. Show that after
n
n
n
strokes, the pressure in vessel is reduced to
P
n
=
P
[
V
V
+
v
]
n
P_n = P \left[ \frac{V}{V+v} \right]^n
P
n
=
P
[
V
+
v
V
]
n
.
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