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
1:6
6:1
4:1
1:4
A
4:1
B
1:6
C
6:1
D
1:4
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Solution
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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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