1, mole of ideal monoatomic gas left( {gamma = 5/3} right) is mixed with 1, mole of diat

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12.Kinetic Theory of Gases

normal

$1\, mole$ of ideal monoatomic gas $\left( {\gamma = 5/3} \right)$ is mixed with $1\, mole$ 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

$\gamma_{\operatorname{mix}}=\frac{\mathrm{n}_{1} \mathrm{C}_{\mathrm{p}_{1}}+\mathrm{n}_{2} \mathrm{C}_{\mathrm{p}_{2}}}{\mathrm{n}_{1} \mathrm{C}_{\mathrm{v}_{1}}+\mathrm{n}_{2} \mathrm{C}_{\mathrm{v}_{2}}}$

Standard 11

Physics

On the basis of kinetic theory of gases, the mean $K.E.$ of $1\,\, mole$ per degree of freedom is

normal

Two containers of equal volume contain identical gases at pressures $P_1$ and $P_2$ and absolute temperatures, $T_1$ and $T_2$ respectively. The vessels are joined and the gas reaches a common pressure $P$ and a common temperature $T$. Then

normal

Two containers of equal volume contain the same gas at pressure $P_1$ and $P_2$ and absolute temperature $T_1$ and $T_2$ respectively. On joining the vessles, the gas reaches a common pressure $P$ and common temperature $T$. The ratio $P/T$ is equal to

normal

The $rms$ speed of helium gas at $27\,^oC$ and $1\,atm$ pressure is $900\,ms^{-1}$ . Then the $rms$ speed of helium molecules at temperature $27\,^oC$ and $2\,atm$ pressure is …… $m/s$

normal

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?

normal

$1\, mole$ of ideal monoatomic gas $\left( {\gamma = 5/3} \right)$ is mixed with $1\, mole$ 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

On the basis of kinetic theory of gases, the mean $K.E.$ of $1\,\, mole$ per degree of freedom is

Two containers of equal volume contain identical gases at pressures $P_1$ and $P_2$ and absolute temperatures, $T_1$ and $T_2$ respectively. The vessels are joined and the gas reaches a common pressure $P$ and a common temperature $T$. Then

Two containers of equal volume contain the same gas at pressure $P_1$ and $P_2$ and absolute temperature $T_1$ and $T_2$ respectively. On joining the vessles, the gas reaches a common pressure $P$ and common temperature $T$. The ratio $P/T$ is equal to

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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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