(C) According to Mayer's relation,the relationship between the gas constant $R$ and the molar specific heats $C_P$ and $C_V$ is given by $C_P - C_V =

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(C) According to Mayer's relation,the relationship between the gas constant $R$ and the molar specific heats $C_P$ and $C_V$ is given by $C_P - C_V = \frac{R}{J}$.Rearranging the formula to solve for $J$,we get $J = \frac{R}{C_P - C_V}$.Given values are $R = 8.32 \ J/mol \cdot K$ and $C_P - C_V = 1.98 \ cal/mol \cdot K$.Substituting these values into the equation:$J = \frac{8.32}{1.98} \approx 4.20 \ J/cal$.

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

Medium

The value of the gas constant $(R)$ calculated from the perfect gas equation is $8.32 \ J/mol \cdot K$,whereas its value calculated from the knowledge of $C_P$ and $C_V$ of the gas is $1.98 \ cal/mol \cdot K$. From this data,the value of $J$ is ......... $J/cal$.

A
$4.16$
B
$4.18$
C
$4.20$
D
$4.22$

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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)

For hydrogen gas $C_p - C_v = a$ and for oxygen gas $C_p - C_v = b$. The relation between $a$ and $b$ is given by:

EasyAIPMT 1993

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One mole of an ideal monatomic gas requires $210 \, J$ of heat to raise the temperature by $10 \, K$ when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by $10 \, K$,then the heat required is ....... $J$.

Medium

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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:

MediumAIPMT 2013

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The specific heat of helium at constant volume is $12.6 \ J \ mol^{-1} \ K^{-1}$. The specific heat of helium at constant pressure in $J \ mol^{-1} \ K^{-1}$ is about (Assume the temperature of the gas is moderate,universal gas constant,$R=8.314 \ J \ mol^{-1} \ K^{-1}$)

EasyAP EAMCET 2015

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The ratio of the adiabatic to isothermal elasticities of a triatomic (non-linear) gas is

EasyAP EAMCET 2020

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The value of the gas constant $(R)$ calculated from the perfect gas equation is $8.32 \ J/mol \cdot K$,whereas its value calculated from the knowledge of $C_P$ and $C_V$ of the gas is $1.98 \ cal/mol \cdot K$. From this data,the value of $J$ is ......... $J/cal$.

Similar Questions

For hydrogen gas $C_p - C_v = a$ and for oxygen gas $C_p - C_v = b$. The relation between $a$ and $b$ is given by:

One mole of an ideal monatomic gas requires $210 \, J$ of heat to raise the temperature by $10 \, K$ when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by $10 \, K$,then the heat required is ....... $J$.

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:

The specific heat of helium at constant volume is $12.6 \ J \ mol^{-1} \ K^{-1}$. The specific heat of helium at constant pressure in $J \ mol^{-1} \ K^{-1}$ is about (Assume the temperature of the gas is moderate,universal gas constant,$R=8.314 \ J \ mol^{-1} \ K^{-1}$)

The ratio of the adiabatic to isothermal elasticities of a triatomic (non-linear) gas is

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