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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 :-
A very tall vertical cylinder is filled with a gas of molar mass $M$ under isothermal conditions at temperature $T.$ The density and pressure of the gas at the base of the container is $\rho_0$ and $p_0$, respectively Choose the correct statement$(s)$
Two moles of a monoatomic ideal gas is confined in a container and is heated such that its temperature increases by $10\,^oC$. The approximate change in its internal energy is ..... $J$. $(R = 8.31\, J/mole-K)$
Calculate the value of mean free path $(\lambda)$ for oxygen molecules at temperature $27^{\circ}\, C$ and pressure $1.01 \times 10^{5} \,Pa$. Assume the molecular diameter $0.3 \,nm$ and the gas is ideal. $\left( k =1.38 \times 10^{-23}\, J\,K ^{-1}\right)$ (in $nm$)