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Question

A partition divides a container having insulated walls into two compartments. The same gas fills the two compartments (see figure). The ratio of the number of molecules is compartments I and II is
678839_62c0c1dc39374043ac79c22d9b77481c.jpg
  1. 1:6
  2. 6:1
  3. 4:1
  4. 1:4

A
4:1
B
1:6
C
6:1
D
1:4
Solution
Verified by Toppr

Using pV=nRT,
We can write,
pIVI=nIRTI
pV=nIRT....(i)
Similarly, for compartment II
pIIVII=nIIRTII
(2p)(3V)=nIIR(T)....(ii)
From Eqs. (i) and (ii), we have
nIRT=nIIRT6
nInII=16
or nI:nII=1:6.

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