Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Let $\bar v,\;{v_{rms}}$ and ${v_p}$ respectively denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature $T.$ The mass of a molecule is $m.$ Then
A system consists of two types of gas molecules $A$ and $B$ having same number density $2 \times$ $10^{25}\, / {m}^{3}$. The diameter of ${A}$ and ${B}$ are $10\, \stackrel{\circ}{{A}}$ and $5\, \stackrel{\circ}{{A}}$ respectively. They suffer collision at room temperature. The ratio of average distance covererd by the molecule $A$ to that of $B$ between two successive collision is $.....\,\times 10^{-2}$
Five moles of helium are mixed with two moles of hydrogen to form a mixture. Take molar mass of helium $M_1=4\ g$ and that of hydrogen $M_2=2\ g$ The equivalent degree of freedom $f$ of the mixture is
Air is filled at $60^o C$ in a vessel of open mouth. The vessel is heated to a temperature $T$ so that $1/4^{th}$ part of air escapes. Assuming the volume of the vessel remaining constant, the value of $T$ is ....... $^oC$
A thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $1.4$. Vessel is moving with speed $v$ and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of the gas increases by ... ( $R =$ universal gas constant )
In Maxwell's speed distribution curve, for $N_2$ gas, the average of $\mid$ relative velocity (in $m/s$) $\mid$ between two molecules at $300 \,K$ will be
The change in the magnitude of the volume of an ideal gas when a small additional pressure $\Delta P$ is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity $\Delta T$ at constant pressure. The initial temperature and pressure of the gas were $300\, K$ and $2\; atm$ respectively. If $|\Delta T|=C|\Delta P|$ then value of $C$ in $(K / a t m)$ is......