A 25 × 10^-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…

A $\displaystyle 25 \times 10^{-3} \mathrm{~m}^3$ volume cylinder is filled with $\displaystyle 1$ mol of $\displaystyle \mathrm{O}_2$ gas at room temperature ($\displaystyle 300$ K). The molecular diameter of $\displaystyle \mathrm{O}_2$, and its root mean square speed, are found to be $\displaystyle 0.3$ nm and $\displaystyle 200$ m/s, respectively. What is the average collision rate (per second) for an $\displaystyle \mathrm{O}_2$ molecule?