(A) The relation between molar specific heat $C_V$ and specific heat $c_V$ is given by $C_V = M \cdot c_V$,where $M$ is the molar mass.Given $c_V = 0.

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(A) The relation between molar specific heat $C_V$ and specific heat $c_V$ is given by $C_V = M \cdot c_V$,where $M$ is the molar mass.Given $c_V = 0.075 \, kcal/kg-K = 0.075 \, cal/g-K$ and $C_V = 2.98 \, cal/mole-K$.Calculating the molar mass $M$:$M = \frac{C_V}{c_V} = \frac{2.98}{0.075} \approx 39.73 \, g/mole$.The mass of a single atom is the molar mass divided by Avogadro's number $N_A$:$m = \frac{M}{N_A} = \frac{39.73}{6.02 \times 10^{23}} \approx 6.60 \times 10^{-23} \, g$.

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

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The specific heat at constant volume for the monoatomic argon is $0.075 \, kcal/kg-K$,whereas its gram molecular specific heat $C_V = 2.98 \, cal/mole/K$. The mass of the argon atom is (Avogadro's number $= 6.02 \times 10^{23} \, molecules/mole$)

A
$6.60 \times 10^{-23} \, g$
B
$3.30 \times 10^{-23} \, g$
C
$2.20 \times 10^{-23} \, g$
D
$13.20 \times 10^{-23} \, g$

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Kinetic Theory

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

When $5 \ mol$ of oxygen gas is heated at constant volume from $10^{\circ}C$ to $20^{\circ}C$,the change in internal energy is ........ $cal$. (Given: $C_P = 8 \ cal/mol \cdot K$,$R = 2 \ cal/mol \cdot K$)

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Derive the ratio of $\frac{C_{P}}{C_{V}}$ for a diatomic gas.

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What is the relationship between the internal energy $U$ of an ideal gas and its pressure $P$ and volume $V$?

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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 ....... $J$.

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For hydrogen gas,$C_P - C_V = a$,and for oxygen gas,$C_P - C_V = b$. The relationship between $a$ and $b$ is given by: (where $C_P$ and $C_V$ are molar specific heats at constant pressure and constant volume,respectively.)

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The specific heat at constant volume for the monoatomic argon is $0.075 \, kcal/kg-K$,whereas its gram molecular specific heat $C_V = 2.98 \, cal/mole/K$. The mass of the argon atom is (Avogadro's number $= 6.02 \times 10^{23} \, molecules/mole$)

Similar Questions

When $5 \ mol$ of oxygen gas is heated at constant volume from $10^{\circ}C$ to $20^{\circ}C$,the change in internal energy is ........ $cal$. (Given: $C_P = 8 \ cal/mol \cdot K$,$R = 2 \ cal/mol \cdot K$)

Derive the ratio of $\frac{C_{P}}{C_{V}}$ for a diatomic gas.

What is the relationship between the internal energy $U$ of an ideal gas and its pressure $P$ and volume $V$?

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 ....... $J$.

For hydrogen gas,$C_P - C_V = a$,and for oxygen gas,$C_P - C_V = b$. The relationship between $a$ and $b$ is given by: (where $C_P$ and $C_V$ are molar specific heats at constant pressure and constant volume,respectively.)

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