Collision frequency between O₂ molecules at T₁ : Collision frequency between O₂ molecules at T₂

Question

Quizplus · Accepted Answer

The collision frequency between molecules is directly proportional to the square root of the absolute temperature (T). Given two temperatures, T₁ and T₂, the ratio of collision frequencies can be found using the square root of the ratio of these temperatures. Since the temperatures are in Kelvin and the second temperature is twice the first (T2 = 2T1), the square root of 2 (approximately 1.41) is the factor by which the collision frequency increases. However, the question seems to be incorrectly formatted or contains a typo in the options provided. The correct mathematical approach would lead to an expectation of a factor of √2 increase in collision frequency, which is approximately 1.41, but the closest provided option is E) 0.71, which is the reciprocal of what the increase should be. Without the correct context or accurate options, the explanation is based on standard gas kinetic theory principles.

Collision Frequency Between O2 Molecules at T1 : Collision Frequency

Collision Frequency Between O₂ Molecules at T₁ : Collision Frequency