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Q. The graph of pressure versus temperature $\left(\right.P-T\left.\right)$ for adiabatic process is best described by (use adiabatic constant $\gamma = \frac{3}{2}$

NTA AbhyasNTA Abhyas 2020

Solution:

$PT^{\frac{\gamma }{1 - \gamma }}=$ constant
$PT^{\frac{\frac{3}{2}}{1 - \frac{3}{2}}}=$ constant
$PT^{- 3}=$ constant
$P \propto T^{3}$