A) 1:2
B) 2:1
C) 1:4
D) 4:1
Correct Answer: B
Solution :
[b] \[2:1\] \[For\text{ }B,\] \[{{P}_{1}}=P,{{V}_{1}}=V,{{T}_{1}}=T\] For A, \[{{P}_{1}}=2P,\text{ }{{V}_{2}}=2P,\text{ }{{T}_{2}}=2T\] Applying ideal gas equation \[PV=nRT\] \[\frac{{{P}_{1}}{{V}_{1}}}{{{n}_{1}}R{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{n}_{2}}R{{T}_{2}}}\] \[\frac{{{P}_{1}}{{V}_{1}}}{{{n}_{1}}R{{T}_{1}}}=\frac{2P\times 2V}{{{n}_{2}}R(2T)}\] \[\frac{{{n}_{2}}}{{{n}_{1}}}=\frac{2}{1}\] \[i.e\,2:1\]You need to login to perform this action.
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