Two ideal gases at absolute temperature $T_1$ and $T_2$ are mixed. There is no loss of energy. The masses of the molecules are $m_1$ and $m_2$ and the number of molecules in the gases are $n_1$ and $n_2$ respectively. The temperature of mixture will be
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If one mole of the polyatomic gas is having two vibrational modes and $\beta$ is the ratio of molar specific heats for polyatomic gas $\left(\beta=\frac{ C _{ P }}{ C _{ v }}\right)$ then the value of $\beta$ is:
A container $X$ has volume double that of contianer $Y$ and both are connected by a thin tube. Both contains same ideal gas. The temperature of $X$ is $200\,\,K$ and that of $Y$ is $400\,\,K$. If mass of gas in $X$ is $m$ then in $Y$ it will be:
The plot that depicts the behavior of the mean free time $t$ (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature $(T)$, qualitatively, is (Graphs are schematic and not drawn to scale)
A gas in container $A$ is in thermal equilibrium with another gas in container $B.$ both contain equal masses of the two gases in the respective containers. Which of the following can be true