An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true?(A) the mean free path of the molecules decreases(B) the mean collision time between the molecules decreases.(C) the mean free path remains unchanged.(D) the mean collision time remains unchanged.

Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true?
(A) the mean free path of the molecules decreases
(B) the mean collision time between the molecules decreases.
(C) the mean free path remains unchanged.
(D) the mean collision time remains unchanged.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(A) and (B)

(B) and (C)

(A) and (D)

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Mean free path $λ = \frac{1}{\sqrt{2} π d^{2} (\frac{N}{V})}$
For closed container V = constant So $λ = constant$
Mean collision time $= \frac{λ}{V}$ as $V \propto \sqrt{T}$
So when $T i n c r e a s e s \Rightarrow V i n c r e a s e s \Rightarrow t i m e d e c r e a s e s$