Thermodynamics Ques 1
1. An ideal gas undergoing adiabatic change has the following pressure-temperature relationship
[1996]
(a) $P^{f^{-1}} T^\gamma=$ constant
(b) $P^\gamma T^{\gamma-1}=$ constant
(c) $P^{\prime} T^{1-\gamma}=$ constant
(d) $P^{1-\gamma} T^\gamma=$ constant
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Answer:
Correct Answer: 1.(d)
Solution: (d) We know that in adiabatic process,
$P V^\gamma=$ constant $\quad$ ……..(1)
From ideal gas equation, we know that
$ P V=n R T $
$ V=\frac{n R T}{P}$ $\quad$ ……..(2)
Puttingt the value from equation (2) in equation (1),
$ \begin{aligned} & P\left(\frac{n R T}{P}\right)^\gamma=\text { constant } \\ & P^{(1-\gamma)} T^\gamma=\text { constant } \end{aligned} $
BETA
