A) 4 : 1
B) 2 : 2
C) 1 : 2
D) 1 : 1
Correct Answer: A
Solution :
\[pV=n\,RT\] \[{{p}_{1}}{{V}_{1}}={{n}_{1}}R{{T}_{1}}\] \[{{p}_{2}}{{V}_{2}}={{n}_{2}}R{{T}_{2}}\] \[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{{{p}_{2}}{{V}_{2}}{{T}_{1}}}{{{p}_{1}}{{V}_{1}}{{T}_{2}}}\] \[{{p}_{1}}=p\] \[{{V}_{1}}=V\] \[{{p}_{2}}=2p\] \[{{V}_{2}}=V\text{/}4\] \[{{T}_{2}}=2T\] \[\frac{{{n}_{2}}}{{{n}_{1}}}=\frac{2pVT}{pV\times 4\times 2T}\] \[=1/4\] \[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{4}{1}\]You need to login to perform this action.
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