First slide

Different type of processes

Question

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature.
The ratio of $\frac{C_{p}}{C_{v}}$ for the gas is

Easy

A

$\frac{4}{3}$
B

2
C

$\frac{5}{3}$
D

$\frac{3}{2}$

Solution

$P \propto T^{3}$ for an adiabatic process.
$P^{1 - γ} T^{γ} =$ constant
$\begin{array}{l} P \propto \cdot T^{\frac{γ}{γ - 1}} \propto T^{3} \\ γ = 3 (γ - 1) \\ 2 γ = 3 γ = \frac{3}{2} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App