A cylinder of length 1m and radius 1 cm
is closed at one end and open at another.
Monoatomic gas fills the cylinder at
atmospheric pressure. The other end of
cylinder is closed by a soap film of
surface tension 0.05 N/m. Atmospheric
pressure = 3 x 103 Pa. The gas in the
cylinder is heated till the pressure
reaches the maximum value. What is the
heat given to the gas. If answer is
n7 x 10-3, fill n in OMR sheet (Round
off to nearest integer)
2R
L-
Answers
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Answer:
Excess pressure for soap bubble, ΔP=
R
4T
where T= surface tension.
Here, P
A
=P
0
+
R
A
4T
=8+
0.02
4(0.04)
=16N/m
2
and P
B
=P
0
+
R
B
4T
=8+
0.04
4(0.04)
=12N/m
2
As PV=nRt,n∝PV
Thus,
n
B
n
A
=
P
B
V
B
P
A
V
A
=
12×(4/3)π(0.04)
3
16×(4/3)π(0.02)
3
=1/6
∴
n
A
n
B
=6
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