A) \[6:1\]
B) \[1:6\]
C) \[4:1\]
D) \[1:4\]
Correct Answer: B
Solution :
Using\[pV=nRT\], We can write, \[{{p}_{I}}{{V}_{I}}={{n}_{I}}R{{T}_{I}}\] \[\Rightarrow \] \[pV={{n}_{I}}RT\] ... (i) Similarly, for compartment II \[{{p}_{II}}{{V}_{II}}={{n}_{II}}R{{T}_{II}}\] \[\Rightarrow \] \[(2p)(3V)={{n}_{II}}R(T)\] ... (ii) From Eqs. (i) and (ii), we have \[{{n}_{I}}RT=\frac{{{n}_{II}}RT}{6}\] \[\Rightarrow \] \[\frac{{{n}_{I}}}{{{n}_{II}}}=\frac{1}{6}\] or \[{{n}_{I}}:{{n}_{II}}=1:6\]You need to login to perform this action.
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