A) \[\frac{170\times 42}{570\times 32}=0.39\]
B) \[\frac{170}{42}/\left( \frac{170}{42}+\frac{570}{32} \right)\approx 0.19\]
C) \[\frac{170}{740}=0.23\]
D) \[\frac{170}{570}=0.30\]
Correct Answer: D
Solution :
[d] By ideal gas equation, \[{{P}_{1}}V={{n}_{1}}RT\] \[{{n}_{1}}\propto {{P}_{1}}\] and \[{{n}_{2}}\propto {{P}_{2}}\] \[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{{{P}_{1}}}{{{P}_{2}}}\Rightarrow \frac{{{n}_{1}}}{{{n}_{2}}}=\frac{170}{570}=0.30\]
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