Two non-reactive monoatomic ideal gases have their atomic masses in the ratio $2 : 3$. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is $4 : 3$. The ratio of their densities is :-
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The pressure $P,$ volume $V$ and temperature $T$ of a gas in the jar $A$ and the other gas in the jar $B$ at pressure $2P,$ volume $V/4$ and temperature $2T,$ then the ratio of the number of molecules in the jar $A$ and $B$ will be
A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases are filled in left $(L)$ and right $(R)$ halves. The rms speed of the molecules in $L$ part is equal to the mean speed of molecules in the $R$ part. Then the ratio of the mass of a molecule in $L$ part to that of a molecule in $R$ part is
Molar specific heat of oxygen at constant pressure ${C_p} = 7.2\,cal/mol^\circ C$ and $R = 8.3 joule/mol/K$. At constant volume, $5\, mol$ of oxygen is heated from $10°C$ to $20°C$, the quantity of heat required is approximately ........ $cal$
A monatomic ideal gas undergoes a process in which the ratio of $\mathrm{P}$ to $\mathrm{V}$ at any instant is constant and equals to $1$. What is the molar heat capacity of the gas?
A container is filled with $20$ moles of an ideal diatomic gas at absolute temperature $T$. When heat is supplied to gas temperature remains constant but $8$ moles dissociate into atoms. Heat energy given to gas is .........
Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, $\frac{\gamma_1}{\gamma_2}$ is
At $100 \,K$ and $0.1$ atmospheric pressure, the volume of helium gas is $10 \,litres.$ If volume and pressure are doubled, its temperature will change to ....... $K$
A container contains $32 \,g$ of $O _2$ at a temperature $T$. The pressure of the gas is $P$. An identical container containing $4 g$ of $H _2$ at a temperature $2 T$ has a pressure of ............