(C) Given: $\frac{R}{C_{v}} = 0.67$.We know that the gas constant $R = C_{p} - C_{v}$.Substituting this into the given equation: $\frac{C_{p} - C_{v}}

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(C) Given: $\frac{R}{C_{v}} = 0.67$.We know that the gas constant $R = C_{p} - C_{v}$.Substituting this into the given equation: $\frac{C_{p} - C_{v}}{C_{v}} = 0.67$.$\frac{C_{p}}{C_{v}} - 1 = 0.67$.Since the adiabatic index $\gamma = \frac{C_{p}}{C_{v}}$,we have $\gamma - 1 = 0.67$,which implies $\gamma = 1.67$.For a monoatomic gas,the degrees of freedom $f = 3$,so $\gamma = 1 + \frac{2}{f} = 1 + \frac{2}{3} = 1 + 0.666... \approx 1.67$.Therefore,the gas is monoatomic.

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

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For a gas,$\frac{R}{C_{v}} = 0.67$. This gas is made up of molecules which are

MHT CET 2020 All MHT CET

AIPMT 1992 All AIPMT

A
diatomic.
B
polyatomic.
C
monoatomic.
D
mixture of diatomic and polyatomic.

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Class 11

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Kinetic Theory of Gases

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

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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)

Medium

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If $C_p$ and $C_v$ denote the specific heat of nitrogen at constant pressure and constant volume respectively,then

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Match the List-$I$ with List-$II$:
List-$I$ List-$II$
$A$. Triatomic rigid gas $I$. $\frac{C_P}{C_V} = \frac{5}{3}$
$B$. Diatomic non-rigid gas $II$. $\frac{C_P}{C_V} = \frac{7}{5}$
$C$. Monoatomic gas $III$. $\frac{C_P}{C_V} = \frac{4}{3}$
$D$. Diatomic rigid gas $IV$. $\frac{C_P}{C_V} = \frac{9}{7}$

Choose the correct answer from the options given below:

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What is the ratio of specific heats at constant pressure and constant volume for $NH_3$?

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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

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List-$I$	List-$II$
$A$. Triatomic rigid gas	$I$. $\frac{C_P}{C_V} = \frac{5}{3}$
$B$. Diatomic non-rigid gas	$II$. $\frac{C_P}{C_V} = \frac{7}{5}$
$C$. Monoatomic gas	$III$. $\frac{C_P}{C_V} = \frac{4}{3}$
$D$. Diatomic rigid gas	$IV$. $\frac{C_P}{C_V} = \frac{9}{7}$

For a gas,$\frac{R}{C_{v}} = 0.67$. This gas is made up of molecules which are

Similar Questions

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)

If $C_p$ and $C_v$ denote the specific heat of nitrogen at constant pressure and constant volume respectively,then

What is the ratio of specific heats at constant pressure and constant volume for $NH_3$?

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.

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