The temperature at which the average translational kinetic energy of a molecule is equal to the energy gained by an electron in accelerating from rest through a potential difference of $1\, volt$ is
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The root mean square speed of smoke particles of mass $5 \times 10^{-17}\,kg$ in their Brownian motion in air at NTP is approximately $.......\,mm\,s ^{-1}$ [Given $k =1.38 \times 10^{-23}\,J\,K ^{-1}$ ]
The value of the gas constant $(R)$ calculated from the perfect gas equation is $8.32\, joules/gm \,mole\, K,$ whereas its value calculated from the knowledge of ${C_P}$ and ${C_V}$ of the gas is $1.98\, cal/gm\, mole\, K.$ From this data, the value of $J$ is ......... $J/cal$
$\mathrm{N}$ moles of a polyatomic gas $(f=6)$ must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of $\mathrm{N}$ is:
If $\alpha$ moles of a monoatomic gas are mixed with $\beta$ moles of a polyatomic gas and mixture behaves like diatomic gas, then [neglect the vibrational mode of freedom]