5. Consider air (which consists of 79 mol% of N2 and 21 mol% of O2) at 300 K: (a) What is the self-collision rate of nitrogen molecules in number of collisions per m³ per second? (b) What is the self-collision rate of oxygen molecules in number of collisions per m' per second? (c) What is the collision rate between oxygen and nitrogen molecules in number of collisions per m' per second? Hint: Use the hard-sphere model where all the collisions are effective. The diameters of oxygen molecules and nitrogen molecules are 3.61 Å and 3.75 Å, respectively. For self-collision scenarios, calculate reduced mass based on two molecules of the same size and mass and be mindful that the number of collisions is double counted.

Chemistry for Engineering Students
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Chapter10: Entropy And The Second Law Of Thermodynamics
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5.
Consider air (which consists of 79 mol% of N2 and 21 mol% of O2) at 300 K:
(a) What is the self-collision rate of nitrogen molecules in number of collisions per m' per
second?
(b) What is the self-collision rate of oxygen molecules in number of collisions per m' per
second?
(c) What is the collision rate between oxygen and nitrogen molecules in number of collisions
per m'
per second?
Hint: Use the hard-sphere model where all the collisions are effective. The diameters of oxygen
molecules and nitrogen molecules are 3.61 Å and 3.75 Å, respectively. For self-collision
scenarios, calculate reduced mass based on two molecules of the same size and mass and be
mindful that the number of collisions is double counted.
Transcribed Image Text:5. Consider air (which consists of 79 mol% of N2 and 21 mol% of O2) at 300 K: (a) What is the self-collision rate of nitrogen molecules in number of collisions per m' per second? (b) What is the self-collision rate of oxygen molecules in number of collisions per m' per second? (c) What is the collision rate between oxygen and nitrogen molecules in number of collisions per m' per second? Hint: Use the hard-sphere model where all the collisions are effective. The diameters of oxygen molecules and nitrogen molecules are 3.61 Å and 3.75 Å, respectively. For self-collision scenarios, calculate reduced mass based on two molecules of the same size and mass and be mindful that the number of collisions is double counted.
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