A) 1:2
B) 2:1
C) 1:4
D) 4:1
Correct Answer: B
Solution :
According to gas law \[PV=\,\,nRT,\,\,n=\frac{PV}{RT}\] \[\frac{{{n}_{A}}}{{{n}_{B}}}=\frac{\frac{{{P}_{1}}{{V}_{1}}}{R{{T}_{1}}}}{\frac{{{P}_{2}}{{V}_{2}}}{R{{T}_{2}}}};\,\,\,\frac{{{n}_{A}}}{{{n}_{B}}}=\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}\times \frac{{{T}_{2}}}{{{P}_{2}}{{V}_{2}}}\] \[\frac{{{n}_{A}}}{{{n}_{B}}}=\frac{2P\times 2V}{2T}\,\,\times \,\frac{T}{PV};\,\,\,\,\frac{{{n}_{A}}}{{{n}_{B}}}=\frac{2}{1}\]
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