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Question: Answered & Verified by Expert

If masses of all the molecules of a gas are halved and their speeds are doubled, then the ratio of initial and final pressures is

PhysicsThermodynamicsJEE Main
Options:
  • A 1:2
  • B 2:1
  • C 4:1
  • D 1:4
Solution:
2846 Upvotes Verified Answer
The correct answer is: 1:2
Using the relation p=13mnv2V ...(i)

and also p=13m2n2v2V ...(ii)

Dividing Eq.(ii) by Eq. (i), we get

pp=2

So, p:p=1:2

The ratio of initial and final pressures is 1:2.

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