A) \[{{n}^{-4/3}}\]
B) \[{{n}^{4/3}}\]
C) \[{{n}^{2/3}}\]
D) \[{{n}^{-2/3}}\]
Correct Answer: A
Solution :
| [a]: Pressure is exerted by gas on container wall due to change in momentum during collision of gas molecules with container walls. |
| i.e., \[P={{N}_{2}}\,\,mv\] and also \[v\propto \sqrt{T}\] |
| Hence, \[P\propto N\,\,\sqrt{T},\,\,\,\,\,\text{i}\text{.e}\text{.,}\,\,\,\frac{{{N}_{2}}}{{{N}_{1}}}=\frac{{{P}_{2}}}{{{P}_{1}}}\,\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}={{n}^{-4/3}}\] |
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