A volume cylinder is filled with 1 mol of gas at room temperature (300 K)

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Problem

A 25×10−3 m325 \times 10^{-3} \text{ m}^3 volume cylinder is filled with 1 mol of O2\text{O}_2 gas at room temperature (300 K). The molecular diameter of O2\text{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 O2\text{O}_2 molecule? (1) ∼1012\sim 10^{12} (2) ∼1011\sim 10^{11} (3) ∼1010\sim 10^{10} (4) ∼1013\sim 10^{13}

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