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A partition divides a container having i...

A partition divides a container having insulated walls into two compartments whose initial paraments are given. The partition is a conducting wall which can move freely without friction. Which of the following statements is/are correct, with refrence to the final equilibrium position ?

A

(a)The pressure in the two compartments are equal.

B

(b)Volume of compartments `I` is `(3V)/(5)`

C

(c)Volume of compartment `II` is `(12V)/(5)`

D

(d)Final pressure in compartment `I` is `(5p)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
For insulated chambers
`n_(1) + n_(2) = n_(1)' + n_(2)'`
(final pressures become equal )
`(PV)/(RT) +(2P.2V)/(RT) = (P)/(RT)[3V] implies P'= (5P)/(3)`
For left chamber
`4PV = P'V' = (5P)/(3)V' implies V' = (12V)/(5)`
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