First slide

Different type of processes

Question

During an adiabatic process, the pressure of a gas is proportional to the cube of its absolute temperature. The value of $\frac{C_{P}}{C_{V}}$ for the gas is:

Moderate

A

$\frac{3}{5}$
B

$\frac{4}{3}$
C

$\frac{5}{3}$
D

$\frac{3}{2}$

Solution

$P \infty T^{3} and a d i a b a t i c r e l a t i o n i s P^{1 - γ} T^{γ} = c o n s \tan t P \infty T^{\frac{γ}{γ - 1}} = T^{3} s o l v i n g γ = \frac{3}{2}$

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