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
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A closed cylindrical vessel contains $N$ moles of an ideal diatomic gas at a temperature $T$. On supplying heat, temperature remains same, but $n$ moles get dissociated into atoms. The heat supplied is .........
The molecules of a given mass of a gas have $r.m.s.$ velocity of $200 \,m s^{-1}$ at $27^o C$ and $1.0 \times 10^5 \,Nm^{-2}$ pressure. When the temperature and pressure of the gas are respectively, $127^o C$ and $0.05 \times 10^5 \,Nm^{-2},$ the $r.m.s.$ velocity of its molecules in $m s^{-1}$ is
In an ideal gas at temperature $T$, the average force that a molecule applies on the walls of a closed container depends on $T$ as ${T^q }$ . A good estimate for $q$ is
A fix amount of nitrogen gas ($1$ mole) is taken and is subjected to pressure and temperature variation. The experiment is performed at high pressure as well as high temperatures. The results obtained are shown in the figures. The correct variation of $PV/RT$ with $P$ will be exhibited by
If the intermolecular forces vanish away, the volume occupied by the molecules contained in $4.5 \,kg$ water at standard temperature and pressure will be