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

Options

A. The pressure in the two compartments are equal.
B. Volume of compartments `I` is `(3V)/(5)`
C. Volume of compartment `II` is `(12V)/(5)`
D. Final pressure in compartment `I` is `(5p)/(3)`

Answer

A, B, C, D

Explanation

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)`