Consider a $1\, c.c.$ sample of air at absolute temperature ${T_0}$ at sea level and another $1 cc$ sample of air at a height where the pressure is one-third atmosphere. The absolute temperature $T$ of the sample at that height is
AEqual to ${T_0}/3$
BEqual to $3/{T_0}$
CEqual to ${T_0}$
DCannot be determined in terms of ${T_0}$ from the above data
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DCannot be determined in terms of ${T_0}$ from the above data
d Let the initial pressure be $P _{0}$
Let the initial temperature be $T _{0}$
It is given that final pressure $P_{1}=\frac{P_{0}}{3}$
So we know the relation $P \propto T$
Hence $\frac{P_{0}}{T_{0}}=\frac{P_{0}}{3 T}$
$T =\frac{ T _{0}}{3}$
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