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11.Thermodynamics
normal
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $C_P / C_V$ for the gas is
A
$1.5$
B
$1.33$
C
$2$
D
$1.67$
Solution
$P \propto T^{3}$
$\mathbf{P T}^{-3}=\mathrm{cont}$
$\because P^{1-\gamma} T^{\gamma}=$ cont
$\frac{\gamma}{1-\gamma}=-3 \Rightarrow \gamma=\frac{3}{2}$
Standard 11
Physics
