First slide

Thermodynamic processes

Question

In an adiabatic process $R = \frac{2}{3} C_{V}$ . The pressure of the gas will be proportional to

Moderate

A

$T^{\frac{5}{3}}$
B

$T^{\frac{5}{2}}$
C

$T^{\frac{5}{4}}$
D

$T^{\frac{5}{6}}$

Solution

$R = \frac{2}{3} C_{V}$
We know
$C_{P} - C_{V} = R C_{P} - C_{V} = \frac{2 C_{V}}{3} C_{P} = \frac{5 C_{V}}{3} \frac{C_{P}}{C_{V}} = \frac{5}{3} = γ$
$P α T^{(\frac{γ}{γ - 1})}$
$\begin{array}{l} \frac{γ}{γ - 1} = \frac{5}{2} \\ So, P α T^{\frac{5}{2}} \end{array}$

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