The value closest to the thermal velocity of a Helium atom at room temperature $(300\,K)$in $ms^{-1}$ is $[k_B\, = 1 .4\times10^{-23}\,J/K;\, m_{He}\, = 7\times10^{-27}\,kg]$
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The number of molecules in one litre of an ideal gas at $300 \,{K}$ and $2$ atmospheric pressure with mean kinetic energy $2 \times 10^{-9}\, {J}$ per molecules is $....\, \times 10^{11}$
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 $nm$)
Consider a mixture of $n$ moles of helium gas and $2 n$ moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its $\frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}$ value will be
A resistance coil connected to an external battery is placed inside an adiabatic cylinder fitted with a frictionless pistn and containing an ideal gas. A current $i$ flows through the coil which has a resistance $R$. At what speed must the piston move upward in order that the temperature of the gas remains uchanged? Neglect atmospheric pressure.
The root mean square speed of molecules of a given mass of a gas at $27^{\circ} C$ and $1$ atmosphere pressure is $200\, ms ^{-1}$. The root mean square speed of molecules of the gas at $127^{\circ} C$ and $2$ atmosphere pressure is $\frac{ x }{\sqrt{3}}\, ms ^{-1} .$ The value of $x$ will be ......$ms ^{-1} .$
The specific heat at constant volume for the monoatomic argon is $0.075\, kcal/kg-K,$ whereas its gram molecular specific heat ${C_V}$ $= 2.98\, cal/mole/K.$ The mass of the argon atom is
If the root mean square velocity of the molecules of hydrogen at $NTP$ is $1.84\, km/s$. Calculate the root mean square velocity of oxygen molecule at $NTP$, molecular weight of hydrogen and oxygen are $2$ and $32$ respectively ....... $km/sec$