One mole of ideal monoatomic gas left( {gamma = 5/3} right) is mixed with one mole of di

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12.Kinetic Theory of Gases

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One mole of ideal monoatomic gas $\left( {\gamma = 5/3} \right)$ is mixed with one mole of diatomic gas $\left( {\gamma = 7/5} \right)$. What is $\gamma $ for the mixture ? $\gamma $ denotes the ratio of specific heat at constant pressure to that at constant volume

$3/2$

$23/15$

$35/23$

$4/3$

Solution

$\gamma_{\operatorname{mix}}=\frac{\left(\mathrm{C}_{\mathrm{p}}\right)_{\operatorname{mix}}}{\left(\mathrm{C}_{\mathrm{v}}\right)_{\operatorname{mix}}}=\frac{\mathrm{n}_{1} \mathrm{Cp}_{1}+\mathrm{n}_{2} \mathrm{Cp}_{2}}{\mathrm{n}_{1} \mathrm{Cv}_{1}+\mathrm{n}_{2} \mathrm{CV}_{2}}$

Standard 11

Physics

A gas mixture consists of molecules of type $1, 2$ and $3$, with molar masses $m_1 > m_2 > m_3$. $v_{rms}$ and $ \bar K$ are the $r.m.s.$ speed and average kinetic energy of the gases. Which of the following is true?

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The correct relation between the degree of freedom $f$ and the ratio of specific heat $\gamma$ is –

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$1\,mole$ of a gas having $\gamma = \frac {7}{5}$ is mixed with $1\,mole$ of a gas having $\gamma = \frac {4}{3}$ . What will be the $\gamma $ for the mixture ?

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A gas is filled in a cylinder. Its temperature is increased by $20\%$ on kelvin scale and volume is reduced by $10\%$. How much percentage of the gas will leak out …… $\%$

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

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One mole of ideal monoatomic gas $\left( {\gamma = 5/3} \right)$ is mixed with one mole of diatomic gas $\left( {\gamma = 7/5} \right)$. What is $\gamma $ for the mixture ? $\gamma $ denotes the ratio of specific heat at constant pressure to that at constant volume

Solution

Similar Questions

A gas mixture consists of molecules of type $1, 2$ and $3$, with molar masses $m_1 > m_2 > m_3$. $v_{rms}$ and $ \bar K$ are the $r.m.s.$ speed and average kinetic energy of the gases. Which of the following is true?

The correct relation between the degree of freedom $f$ and the ratio of specific heat $\gamma$ is –

$1\,mole$ of a gas having $\gamma = \frac {7}{5}$ is mixed with $1\,mole$ of a gas having $\gamma = \frac {4}{3}$ . What will be the $\gamma $ for the mixture ?

A gas is filled in a cylinder. Its temperature is increased by $20\%$ on kelvin scale and volume is reduced by $10\%$. How much percentage of the gas will leak out …… $\%$

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

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