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An ideal gas $(\gamma = 1.5)$ is expanded adiabatically. How many times has the gas to be expanded to reduce the root mean square velocity of molecules $2.0$ times
One kg of a diatomic gas is at a pressure of $8 \times 10^4$ $N/m^2$ The density of the gas is $4$ $kg/m^3$ What is the energy (in $\times 10^4\; J$) of the gas due to its thermal motion?
Two moles of a monoatomic ideal gas is confined in a container and is heated such that its temperature increases by $10\,^oC$. The approximate change in its internal energy is ..... $J$. $(R = 8.31\, J/mole-K)$
One mole of monoatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in $J\,{K^{ - 1}}\,mo{l^{ - 1}})$ at constant volume is $(R = 8.3\,J\,{K^{ - 1}}\,mo{l^{ - 1}})$
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
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 $M_2=2\ g$ If the internal energy of He sample of $100\,\,J$ and that of the hydrogen sample is $200\,\,J$, then the internal energy of the mixture is ..... $J$
A container holds $10^{26} molecules/m^3$ each of mass $3 \times 10^{-27}\,\,kg$. Assume that $1/6$ of the molecules move with velocity $2000 \,\,m/s$ directly towards one wall of the container while the remaining $5/6$ of the molecules move either away from the wall or in perpendicular direction, and all collisions of the molecules with the wall are elastic