(B) For an ideal gas,the adiabatic elasticity $E_{\phi}$ is given by $E_{\phi} = \gamma P$,where $\gamma$ is the adiabatic index and $P$ is the pressu

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

(B) For an ideal gas,the adiabatic elasticity $E_{\phi}$ is given by $E_{\phi} = \gamma P$,where $\gamma$ is the adiabatic index and $P$ is the pressure.The isothermal elasticity $E_{\theta}$ is given by $E_{\theta} = P$.The ratio of adiabatic elasticity to isothermal elasticity is $\frac{E_{\phi}}{E_{\theta}} = \frac{\gamma P}{P} = \gamma$.Since $\gamma = \frac{C_p}{C_v}$,the ratio is $\frac{C_p}{C_v}$.

Class 11 Physics Kinetic Theory of Gases Molar Specific Heat of gas and relation between them (Mayer's formula)

Easy

The specific heat at constant pressure and at constant volume for an ideal gas are $C_p$ and $C_v$,and its adiabatic and isothermal elasticities are $E_{\phi}$ and $E_{\theta}$ respectively. The ratio of $E_{\phi}$ to $E_{\theta}$ is

A
$C_v/C_p$
B
$C_p/C_v$
C
$C_p C_v$
D
$1/(C_p C_v)$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Kinetic Theory of Gases

Subtopic

Molar Specific Heat of gas and relation between them (Mayer's formula)

$A$ polyatomic gas with $6$ degrees of freedom does $25 \ J$ of work when it is expanded at constant pressure. The heat given to the gas is ..... $J$.

Difficult

View Solution

Obtain the relation between specific heat capacity at constant pressure $(C_P)$ and specific heat capacity at constant volume $(C_V)$ for an ideal gas.

Medium

View Solution

Write definitions of molar specific heat at constant pressure and constant volume.

Easy

View Solution

For a gas,the difference between the two specific heats is $4150 \ J \ kg^{-1} \ K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J \ kg^{-1} \ K^{-1}$?

Medium

View Solution

Statement $A: C_P - C_V = R$
Statement $B: \frac{C_P}{C_V} = 1.67$

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

The specific heat at constant pressure and at constant volume for an ideal gas are $C_p$ and $C_v$,and its adiabatic and isothermal elasticities are $E_{\phi}$ and $E_{\theta}$ respectively. The ratio of $E_{\phi}$ to $E_{\theta}$ is

Similar Questions

$A$ polyatomic gas with $6$ degrees of freedom does $25 \ J$ of work when it is expanded at constant pressure. The heat given to the gas is ..... $J$.

Obtain the relation between specific heat capacity at constant pressure $(C_P)$ and specific heat capacity at constant volume $(C_V)$ for an ideal gas.

Write definitions of molar specific heat at constant pressure and constant volume.

For a gas,the difference between the two specific heats is $4150 \ J \ kg^{-1} \ K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J \ kg^{-1} \ K^{-1}$?

Statement $A: C_P - C_V = R$Statement $B: \frac{C_P}{C_V} = 1.67$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Statement $A: C_P - C_V = R$
Statement $B: \frac{C_P}{C_V} = 1.67$