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A 50 litre vessel is equally divided into three parts with the help of two stationary semi permeable membrane(SPM). The vessel contains 60g H2 gas in the left chamber, 160g O2 in the middle and 140g N2 in the right one. The left SPM allows transfer of only H2 gas while the right one allows the transfer of both H2 andN2. The final ratio of pressure in the three chambers:
  1. 4:7:5
  2. 5:4:7
  3. 7:4:5
  4. 5:7:4

A
4:7:5
B
5:4:7
C
5:7:4
D
7:4:5
Solution
Verified by Toppr

SPM will permit the flow of asses till (concentration became equal in each chambers. (of respective gas)
At equilibrium: Moles of H2 in each member =302=10 moles.

Moles. of N2 in right and middle chamber =52=2.5moles So, total number of moles in left chamber =10.

total number of moles in middle chamber =(25+10)+5=175. total number of moles in right chamber =(2.5+10)=12.5.

Now, here volume and temperature of each chamber remain constant
So, p α n

Thus, PL:Pm:PR=nL:nm:nR=10:17.5:12.5=4:7:5
So, option (A) is correct.

1999705_1038795_ans_485add06ab7246e8b7785af9bbbe3b74.PNG

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