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The root mean square speed of hydrogen molecules at $300$ $K$ is $1930\, m/s.$ Then the root mean square speed of oxygen molecules at $900\, K$ will be ....... $m/s$
$14 \,g$ of $CO$ at $27^{\circ} C$ is mixed with $16 g$ of $O _2$ at $47^{\circ} C$. The temperature of mixture is .......... $^{\circ} C$ (vibration mode neglected)
Consider a gas with density $\rho $ and $\bar c$ as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity $v,$ then the pressure exerted by the gas is
A gas mixture consists of $2$ moles of $O_2$ and $4$ moles of $Ar$ at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is
A balloon contains $1500 \,m^3$ of helium at $27^\circ C$ and $4$ atmospheric pressure. The value of helium at $ - \,3^\circ C$ temperature and $2$ atmospheric pressure will be ...... $m^3$
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 value of $\gamma$ is
Two bulbs of identical volumes connected by a small capillary are initially filled with an ideal gas at temperature $T$. Bulb $2$ is heated to maintain a temperature $2 T$, while bulb $1$ remains at temperature $T$. Assume throughout that the heat conduction by the capillary is negligible. Then, the ratio of final mass of the gas in bulb $2$ to the initial mass of the gas in the same bulb is close to