A $25 \times 10 ^ { - 3 } \mathrm {~m} ^ { 3 }$ volume cylinder is filled with 1 mol of $\mathrm { O } _ { 2 }$ gas at room temperature (300 K). The molecular diameter of $\mathrm { O } _ { 2 }$, and its root mean square speed, are found to be 0.3 nm and $200 \mathrm {~m} / \mathrm { s }$, respectively. What is the average collision rate (per second) for an $\mathrm { O } _ { 2 }$ molecule?\\
(1) $\sim 10 ^ { 11 }$\\
(2) $\sim 10 ^ { 12 }$\\
(3) $\sim 10 ^ { 10 }$\\
(4) $\sim 10 ^ { 13 }$