Ratio Cₚ/Cᵥ for a gas mixture consisting of 8 g of helium and 16 g of oxygen is

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12.Kinetic Theory of Gases

normal

The ratio $C_p/C_v$ for a gas mixture consisting of $8\ g$ of helium and $16\ g$ of oxygen is

$\frac {23}{15}$

$\frac {15}{23}$

$\frac {27}{17}$

$\frac {17}{27}$

Solution

$\mathrm{C}_{\mathrm{v}}=\frac{2 \times \frac{3}{2} \mathrm{R}+\frac{1}{2} \times \frac{5}{2} \mathrm{R}}{2+\frac{1}{2}}=\frac{3 \mathrm{R}+\frac{5 \mathrm{R}}{4}}{\frac{5}{2}}=\frac{17 \mathrm{R}}{4} \times \frac{2}{5}$

$=\frac{17 \mathrm{R}}{10}=\frac{\mathrm{R}}{\gamma-1}$

$\Rightarrow 17 \gamma=27$

$\gamma=\frac{27}{17}$

Standard 11

Physics

A gas mixture consists of $2$ moles of $O_2$ and $4$ moles of $A_r$ at temperature $T.$ Neglecting all vibrational modes, the total internal energy of the system is

normal

Considering the gases to be ideal, the value of $\gamma = \frac{{{C_p}}}{{{C_v}}}$ for a gaseous mixture consisting of $3\ moles$ of carbon dioxide and $2\ moles$ of oxygen will be $({\gamma _{{O_2}}} = 1.4\,,{\gamma _{C{O_2}}} = 1.3)$

normal

Most of the real gases behave like an ideal gas at

normal

A gas at the temperature $250\,K$ is contained in a closed vessel. If the gas is heated through $1\,K,$ then the percentage increase in its pressure will be …… $\%$

normal

An inverted bell lying at the bottom of a lake $47.6\,m$ deep has $50\, cm^3$ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be …… $cm^3$ (atmospheric pressure $= 70\, cm$ of $Hg$ and density of $Hg = 13.6\, g/cm^3$)

hard

The ratio $C_p/C_v$ for a gas mixture consisting of $8\ g$ of helium and $16\ g$ of oxygen is

Solution

Similar Questions

A gas mixture consists of $2$ moles of $O_2$ and $4$ moles of $A_r$ at temperature $T.$ Neglecting all vibrational modes, the total internal energy of the system is

Considering the gases to be ideal, the value of $\gamma = \frac{{{C_p}}}{{{C_v}}}$ for a gaseous mixture consisting of $3\ moles$ of carbon dioxide and $2\ moles$ of oxygen will be $({\gamma _{{O_2}}} = 1.4\,,{\gamma _{C{O_2}}} = 1.3)$

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An inverted bell lying at the bottom of a lake $47.6\,m$ deep has $50\, cm^3$ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be …… $cm^3$ (atmospheric pressure $= 70\, cm$ of $Hg$ and density of $Hg = 13.6\, g/cm^3$)

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