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BITSAT 2015 Solved Question Paper
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© examsnet.com
Question : 12
Total: 150
0.5 mole of an ideal gas at constant temperature 27°C kept inside a cylinder of length L and cross section area A closed by a mass less piston.
The cylinder is attached with a conducting rod of length L , cross-section area (1/9)
m
2
and thermal conductivity k, whose other end is maintained at 0°C. If piston is moved such that rate of heat flow through the conducing rod is constant then velocity of piston when it is at height L/2 from the bottom of cylinder is :
[Neglect any kind of heat loss from system ]
(
k
R
)
m/s
(
k
10
R
)
m/s
(
k
100
R
)
m/s
(
k
1000
R
)
m/s
Validate
Solution:
Δ
Q
Δ
t
=
Δ
W
Δ
t
= work done per unit time =
k
a
θ
L
d
W
d
t
= P
d
v
d
t
= k
a
θ
L
, P =
n
R
T
V
⇒
0.5
R
(
300
)
V
A .
d
l
d
t
=
k
a
θ
L
⇒
0.5
R
(
300
)
V
A . v =
k
a
θ
L
⇒ v =
k
a
R
(
27
300
)
=
k
100
R
© examsnet.com
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