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A cylindrical diathemic chamber fitted w...


A cylindrical diathemic chamber fitted with movable, massless & frictionless piston. Initially piston was at rest by the stop pin `P` as shown in figure. Compartment `(A)` is filled with `60g` He gas & compartment `(B)` is filled with `96 g of O_(2)` gas ast `27^(@)C` . Assume ideal behaviour of gas, then calculate ratio `(L_(1))/(L_(2))` , if stop pin is suddenly removed ? \

A

`2`

B

`4`

C

`5`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:
C

At equilibrium, `F_(He) = F_(O_(2))`
`n_(He)(RT)/(V_(He))xx A = (n_(O_(2))RTxxA)/(VO_(2))`
`(n_(He))/(L_(1)) = (n_(O_(2)))/(L_(2))`
`:. (L_(1))/(L_(2)) = (n_(He))/(n_(O_(2))) = (60//4)/(96//32) = (15)/(3) = 5`
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