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One mole of an ideal gas $\left( {\frac{{{C_P}}}{{{C_V}}}\, = \gamma } \right)$ heated by law $P=\alpha V$ where $P$ is pressure of gas, $V$ is volume, $\alpha$ is a constant what is the heat capacity of gas in the process-
A $25\times10^{-3}\, m^3$ volume cylinder is filled with $1\, mol$ of $O_2$ gas at room temperature $(300\, K)$. The molecular diameter of $O_2$, and its root mean square speed, are found to be $0.3\, nm$ and $200\, m/s$, respectively. What is the average collision rate (per second) for an $O_2$ molecule?
A cylinder containing gas at $27\,^oC$ is divided into two parts of equal volume each $100\,^oc$ and at equal pressure by a piston of cross sectional area $10.85\,\, cm^2$. The gas in one part is raised in temperature to $100\,^oC$ while the other maintained at original temperature. The piston and wall are perfect insulators. How far will the piston move during the change in temperature.... $cm$ .