d The difference between $C_P$ and $C_V$ is $R$, not $2R$.
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The number of air molecules per $\mathrm{cm}^3$ increased from $3 \times 10^{19}$ to $12 \times 10^{19}$. The ratio of collision frequency of air molecules before and after the increase in number respectively is $.........$
$Assertion :$ The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.
$Reason :$ The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.
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 $k =1.38 \times 10^{-23}\,J\,K ^{-1}$ ]
A narrow glass tube, $80 \,cm$ long and opens at both ends, is half immersed in mercury, now the top of the tube is closed and is taken out of mercury. A column of mercury $20 \,cm$ long remains in the tube. Find atmospheric pressure
If $\mathrm{n}$ is the number density and $\mathrm{d}$ is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by :
A mixture of $2\, moles$ of helium gas (atomic mass $= 4\, u$), and $1\, mole$ of argon gas (atomic mass $= 40\, u$) is kept at $300\, K$ in a container. The ratio of their rms speeds $\left[ {\frac{{{V_{rms}}{\rm{(helium)}}}}{{{V_{rms}}{\rm{(argon)}}}}} \right]$, is close to
A gas at absolute temperature $300\,K$ has pressure $= 4 \times 10^{-10}\,N /m^2$ . Boltzmann constant, $k = 1.38 \times 10^{-23}\,J / K$ . The number of molecules per $cm^3$ is of the order of