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Question #122432
julie blows a bubble. At first the pressure of the gas in the bubble is 4kPa. the bubble floats into the air and expands. when it gets to the top of a tree the bubble has a pressure of 2KPa and a volume of 3.5m^3. assuming a constant temperature, what was in the volume in m^3 of the bubble when it was first blown
Expert's answer
Since the temperature does not change, we can use the
combined gas law
to find the initial volume:
P
1
V
1
T
=
P
2
V
2
T
,
V
1
=
V
2
P
2
P
1
=
3.5
2
4
=
1.75
m
3
.
\frac{P_1V_1}{T}=\frac{P_2V_2}{T},\\\space\\ V_1=V_2\frac{P_2}{P_1}=3.5\frac{2}{4}=1.75\text{ m}^3.
T
P
1
V
1
=
T
P
2
V
2
,
V
1
=
V
2
P
1
P
2
=
3.5
4
2
=
1.75
m
3
.
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