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Physics
Problem
A gas is found to be obeyed the law
p
2
V
=
constant
p^2 V = \text{constant}
p
2
V
=
constant
. The initial temperature and volume are
T
0
T_0
T
0
and
V
0
V_0
V
0
. If the gas expands to a volume
3
V
0
3V_0
3
V
0
, then the final temperature becomes a.
3
T
0
\sqrt{3} T_0
3
T
0
b.
2
T
0
\sqrt{2} T_0
2
T
0
c.
T
0
3
\frac{T_0}{\sqrt{3}}
3
T
0
d.
T
0
2
\frac{T_0}{\sqrt{2}}
2
T
0
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