At a given temperature if ${V_{rms}}$ is the root mean square velocity of the molecules of a gas and ${V_s}$ the velocity of sound in it, then these are related as $\left( {\gamma = \frac{{{C_P}}}{{{C_v}}}} \right)$
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A horizontal uniform glass tube of $100 \,cm$, length sealed at both ends contain $10 \,cm$ mercury column in the middle. The temperature and pressure of air on either side of mercury column are respectively $81°C$ and $76\, cm$ of mercury. If the air column at one end is kept at $0°C$ and the other end at $273°C$, the pressure of air which is at $0°C$ is (in $cm$ of $Hg$)
A cylinder contains hydrogen gas at pressure of $249\; kPa$ and temperature $27^{\circ} C$. Its density is$.............kg / m ^{3}$ $\left( R =8.3\, J\, mol ^{-1} K ^{-1}\right)$
Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture is $\sqrt{2}$ times the speed of sound, then the value of $n$ will be
A container contains $32 \,g$ of $O _2$ at a temperature $T$. The pressure of the gas is $P$. An identical container containing $4 g$ of $H _2$ at a temperature $2 T$ has a pressure of ............
The temperature of an open room of volume $30\ m^3$ increases from $17^o C$ to $27vC$ due to sunshine. The atmospheric pressure in the room remains $1 \times 10^5\ Pa$. Ifni and nr are the number of molecules in the room before and after heating, then $n_f-n_i$ will be :