Determine the collision frequency for an oxygen molecule (M = 3.20 × 10^-2 kg/mol) in a sample of pure oxygen gas at 35°C and 1.7 atm. Assume that the diameter of an O₂ molecule is 300 pm.

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Quizplus · Accepted Answer

The collision frequency can be calculated using the formula: $ Z = \sqrt{2} \pi d^2 n \bar{v} $, where $ d $ is the diameter of the molecule, $ n $ is the number density, and $ \bar{v} $ is the average speed of the molecules. Using the given values and converting units appropriately, the collision frequency is approximately $ 7 \times 10^9 $ s$^{-1}$.

Determine the Collision Frequency for an Oxygen Molecule (M =