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$2\, kg$ of a monoatomic gas is at a pressure of $4\times10^4\, N/m^2$. The density of the gas is $8\, kg/m^3$. What is the order of energy of the gas due to its thermal motion ?
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
The $r.m.s.$ speed of the molecules of a gas at a pressure ${10^5}$ $Pa$ and temperature $0^\circ C$ is $0.5km\;{\sec ^{ - 1}}.$ If the pressure is kept constant but temperature is raised to $819°C,$ the velocity will become ........ $km\,sec^{-1}$