A $15\,g$ mass of nitrogen gas is enclosed in a vessel at a temperature $27\,^oC.$ Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about ...... $kJ$ [Take $R = 8.3\,J/K\,mole$ ]
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For an ideal gas the instantaneous change in pressure $'{p} '$ with volume $'v'$ is given by the equation $\frac{{dp}}{{dv}}=-{ap} .$ If ${p}={p}_{0}$ at ${v}=0$ is the given boundary condition, then the maximum temperature one mole of gas can attain is :
A gas at $27^o C$ has a volume $V$ and pressure $P.$ On heating its pressure is doubled and volume becomes three times. The resulting temperature of the gas will be ...... $^oC$
A cylinder with fixed capacity of $67.2\, lit$ contains helium gas at $STP$. The amount of heat needed to raise the temperature of the gas by $20\,^oC$ is ..... $J$ [Given that $R = 8.31\, J\, mol^{-1}\, K^{-1}$]
A diatomic gas of molecules weight $30\,\, gm/mole$ is filled in a container at $27\,^oC$. It is moving at a velocity $100\,\, m/s$. If it is suddenly stopped, the rise in temperature of gas is :
A cylindrical container of volume $4.0 \times 10^{-3} \,{m}^{3}$ contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is $400 \,{K}$ The pressure of the mixture of gases is:
[Take gas constant as $8.3\, {J} {mol}^{-1} {K}^{-1}$]
$\frac{1}{2} $ mole of helium gas is contained in a container at $S.T.P.$ The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas $ = 3\,J\,g{m^{ - 1}}\,{K^{ - 1}})$ is ...... $J$
A container has $N$ molecules at absolute temperature $T$. If the number of molecules is doubled but kinetic energy in the box remain the same as before, the absolute temperature of the gas is ...........