Question 406: Thermodynamics & KTG

Question

In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a
molecule varies with T as :

Accepted Answer

Time (t) = $${V \over {4\pi \sqrt 2 {r^2}vN}}$$ ....(1)
Here, v = most probable speed
= $$\sqrt {{{2RT} \over {\pi M}}} $$
$$ \Rightarrow $$ v $$ \propto $$ $$\sqrt T $$
$$ 	herefore $$ From (1),
t $$ \propto $$ $${1 \over {\sqrt T }}$$

Answer

$$\sqrt T $$

Answer

T

Answer

$${1 \over T}$$

Answer

$${1 \over {\sqrt T }}$$

Thermodynamics & KTG

In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T as :

Choose the correct answer: