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A one litre vessel at a pressure P1 and ...

A one litre vessel at a pressure `P_1` and a two litre vessel at pressure `P_(2)` contain one mole each of oxygen gas. If the temperature is so adjusted such that the velocities of `O_(2)` molecules in 1 lit. vessel are 4 times that of 2 lit. vessel, then at what ratio `P_(1)` and `P_(2)` will be

A

`4 : 1`

B

`8 : 1`

C

`16 : 1`

D

`32 : 1`

Text Solution

Verified by Experts

The correct Answer is:
D
`(4)/(1)=(sqrt((3RT_1)/(mn)))/(sqrt((3RT_2)/(mn))) therefore (T_1)/(T_2)= (16)/(1)`
`(P_1)/(P_2)= (RT_(1)"/"1)/(RT_(2)"/"2)= (32)/(1)`.
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