A) \[1.75\times {{10}^{-4}}\]
B) \[1.5\times {{10}^{-4}}\]
C) \[12\times {{10}^{-4}}\]
D) \[1.125\times {{10}^{-4}}\]
Correct Answer: D
Solution :
Volume of oxygen gas at STP \[=22.4\text{ }L\] \[=22.4\times {{10}^{-3}}{{m}^{3}}\] ...(i) \[\Rightarrow \] Volume of oxygen molecules at STP \[={{N}_{0}}\times \frac{4}{3}\pi {{r}^{3}}\] \[=6.02\times {{10}^{23}}\times \frac{4}{3}\pi {{({{10}^{-10}})}^{3}}\] \[=6.02\times \frac{4}{3}\times \pi \times {{10}^{-7}}\] \[=25.20\times {{10}^{-7}}{{m}^{3}}\] \[\Rightarrow \] \[\frac{~Volume\text{ }\left( oxygen\text{ }molecules\text{ }at\text{ }STP \right)}{Volume\text{ }\left( oxygen\text{ }gas\text{ }at\text{ }STP \right)}\] \[=\frac{25.20\times {{10}^{-7}}}{22.4\times {{10}^{-3}}}=1.125\times {{10}^{-4}}\]
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