A gas is filled in a vessel at a pressure given by $P = \left( {6.02 \times {{10}^{23}}} \right)kT$ where $k$ is the Boltzmann constant and $T$ is the absolute temperature. The number of molecules per unit volume of the gas is
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The value of densities of two diatomic gases at constant temperature and pressure are ${d_1}$ and ${d_2}$, then the ratio of speed of sound in these gases will be
One kg of a diatomic gas is at a pressure of $8 \times 10^4$ $N/m^2$ The density of the gas is $4$ $kg/m^3$ What is the energy (in $\times 10^4\; J$) of the gas due to its thermal motion?
$1$ mole of gas occupies a volume of $100\, ml$ at $50\, mm$ pressure. What is the volume occupied by two moles of gas at $100\, mm$ pressure and at same temperature ..... $ml$
An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is
A cylindrical tube of cross-sectional area $A$ has two air tight frictionless pistons at its two ends. The pistons are tied with a straight two ends. The pistons are tied with a straight piece of metallic wire. The tube contains a gas at atmospheric pressure $P_0$ and temperature $T_0$. If temperature of the gas is doubled then the tension in the wire is
Consider a sample of oxygen behaving like an ideal gas. At $300 \,K ,$ the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be :
(Molecular weight of oxygen is $32 \,g / mol$ $\left. R =8.3 \,J K ^{-1} mol ^{-1}\right)$