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Q.

A partition divides a container having insulated walls into two compartments I and II. The same gas filled in both compartments whose initial parameters are given. The partition is conducting wall which can freely move without friction. Choose the correct statements (is/are), with respect to the final equilibrium position. 

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a

Volume of compartment II is 12V/5

b

Final pressure in compartment I is 5P/3.

c

Volume of compartment I is 3V/5. 

d

The pressure in two compartments are equal

answer is A, B, C, D.

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Detailed Solution

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At equilibrium final pressure and final temperature in both compartments are equal. 
 PVRT=P'V'RT …(i)
(2P)(2V)RT=P'V''RT  …(ii)
  V''=4V'…(iii)
 V'+V''=3V
On solving it we get the result.

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