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What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature $T \,?\left( k _{ B }\right.$ is Boltzmann constant)
Consider a $1\, c.c.$ sample of air at absolute temperature ${T_0}$ at sea level and another $1 cc$ sample of air at a height where the pressure is one-third atmosphere. The absolute temperature $T$ of the sample at that height is
To what temperature should the hydrogen at room temperature $(27°C)$ be heated at constant pressure so that the $R.M.S.$ velocity of its molecules becomes double of its previous value ....... $^oC$
Three perfect gases at absolute temperatures $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are $n_1, n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is
A thermally insulated rigid container of $1 \,L$ volume contains a diatomic ideal gas at room temperature. A small paddle installed inside the container is rotated from the outside, such that the pressure rises by $10^{5} \,Pa$. The change in internal energy is close to ............... $J$
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 degree of freedom $f$ of the mixture is