Calculate the following ratios for a gas at Kelvin temperatures T₁ and T₂ where T₂ = 2T₁.
-Mean free path at T₁ : Mean free path at T₂

Question

Calculate the following ratios for a gas at Kelvin temperatures T 1 and T 2 where T 2 = 2T 1 . -Mean free path at T₁ : Mean free path at T₂

Quizplus · Accepted Answer

The mean free path of a gas is inversely proportional to its temperature when pressure is constant. However, if the temperature doubles (T2 = 2T1), without any information on pressure changes or molecular speed changes, the basic assumption is that the mean free path remains unchanged because it primarily depends on the density and diameter of the molecules, which are not directly affected by temperature in this context. Thus, the ratio of the mean free paths at two different temperatures without additional context is 1.0.

Calculate the Following Ratios for a Gas at Kelvin Temperatures