For a gas molecule with $6$ degrees of freedom,which one of the following relations between gas constant '$R$' and molar specific heat '$C_{V}$' is correct?

  • A
    $R = \frac{C_{V}}{3}$
  • B
    $R = \frac{5 C_{V}}{4}$
  • C
    $R = \frac{C_{V}}{2}$
  • D
    $R = \frac{3 C_{V}}{4}$

Explore More

Similar Questions

Using the law of equipartition of energy, the specific heat (in $J\, kg^{-1}\, K^{-1}$) of aluminium at room temperature can be estimated to be (atomic weight of aluminium $= 27$).

The amount of heat energy required to raise the temperature of $1\, g$ of Helium at $NTP$ from $T_1\, K$ to $T_2\, K$ is:

What is the correct relationship between molar specific heat at constant pressure $(C_P)$ and constant volume $(C_V)$? ($R$ is the universal gas constant)

Explain the difference between the expressions $C_P - C_V = R$,$C_P - C_V = \frac{R}{J}$,and $C_P - C_V = \frac{r}{J}$.

Difficult
View Solution

Match the following ( $f$ is number of degrees of freedom):
  Gases   $C_P/C_V$ value
$A$ Monoatomic $I$ $(4+f)/(3+f)$
$B$ Diatomic (rigid) $II$ $5/3$
$C$ Diatomic (non-rigid) $III$ $7/5$
$D$ Polyatomic $IV$ $9/7$

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