(C) For an adiabatic process,the relationship between pressure $P$ and volume $V$ is given by $P V^\gamma = \text{constant}$.Using the ideal gas equat

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

$T V^{\gamma - 1} = \text{constant}$

(C) For an adiabatic process,the relationship between pressure $P$ and volume $V$ is given by $P V^\gamma = \text{constant}$.Using the ideal gas equation $PV = RT$,we can express pressure as $P = \frac{RT}{V}$.Substituting this into the adiabatic equation: $\left( \frac{RT}{V} \right) V^\gamma = \text{constant}$.Since $R$ is a gas constant,we get $T V^{\gamma - 1} = \text{constant}$.

Class 11 Physics Thermodynamics Adiabatic Process

Easy

For adiabatic processes $\left( \gamma = \frac{C_p}{C_v} \right)$,which of the following relations is correct?

A
$P^\gamma V = \text{constant}$
B
$T^\gamma V = \text{constant}$
C
$T V^{\gamma - 1} = \text{constant}$
D
$T V^\gamma = \text{constant}$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Thermodynamics

Subtopic

Adiabatic Process

The internal energy of the gas increases in:

Easy

View Solution

An ideal gas expands adiabatically, $(\gamma = 1.5)$. To reduce the root-mean-square (r.m.s.) velocity of the molecules $4$ times, the gas has to be expanded by a factor of: (in $\times$)

MediumMHT CET 2025

View Solution

In summer,when the valve of a bicycle tube is removed,the escaping air appears cold. Why?

Medium

View Solution

If during an adiabatic process the pressure of a mixture of gases is found to be proportional to the square of its absolute temperature,the ratio of $C_p / C_v$ for the mixture of gases is .........

Medium

View Solution

Slope of isotherm for a gas (having $\gamma = 5/3$) is $3 \times 10^5 \, N/m^2$. If the same gas is undergoing adiabatic change,then the adiabatic elasticity at that instant is ........... $\times 10^5 \, N/m^2$.

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

For adiabatic processes $\left( \gamma = \frac{C_p}{C_v} \right)$,which of the following relations is correct?

Similar Questions

The internal energy of the gas increases in:

An ideal gas expands adiabatically, $(\gamma = 1.5)$. To reduce the root-mean-square (r.m.s.) velocity of the molecules $4$ times, the gas has to be expanded by a factor of: (in $\times$)

In summer,when the valve of a bicycle tube is removed,the escaping air appears cold. Why?

If during an adiabatic process the pressure of a mixture of gases is found to be proportional to the square of its absolute temperature,the ratio of $C_p / C_v$ for the mixture of gases is .........

Slope of isotherm for a gas (having $\gamma = 5/3$) is $3 \times 10^5 \, N/m^2$. If the same gas is undergoing adiabatic change,then the adiabatic elasticity at that instant is ........... $\times 10^5 \, N/m^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module