A) \[\tilde{\ }{{10}^{11}}\]
B) \[\tilde{\ }{{10}^{13}}\]
C) \[\tilde{\ }{{10}^{10}}\]
D) \[\tilde{\ }{{10}^{12}}\]
Correct Answer: D
Solution :
[d]\[\text{v}=\frac{{{V}_{a\text{v}}}}{\lambda }\] |
\[\lambda =\frac{RT}{\sqrt{2}\pi {{\sigma }^{2}}{{N}_{A}}P}\] |
\[P=\frac{RT}{V}\] |
\[\Rightarrow \lambda =\frac{V}{\sqrt{2}\pi {{\sigma }^{2}}{{N}_{A}}}\] |
\[{{V}_{a\text{v}}}=\sqrt{\frac{8}{3\pi }}\times {{V}_{rms}}\] |
\[\therefore \text{v}=\frac{200\times \sqrt{2}\pi \times {{\sigma }^{2}}{{N}_{A}}}{25\times {{10}^{-3}}}\times \sqrt{\frac{8}{3\pi }}\] |
\[=17.68\times {{10}^{8}}/\sec .\] |
\[=.1768\times {{10}^{10}}/\sec \tilde{\ }{{10}^{10}}\] |
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