A) \[\frac{3}{8}{{N}_{a}}{{k}_{B}}({{T}_{2}}-{{T}_{1}})\]
B) \[\frac{3}{2}{{N}_{a}}{{k}_{B}}({{T}_{2}}-{{T}_{1}})\]
C) \[\frac{3}{4}{{N}_{a}}{{k}_{B}}({{T}_{2}}-{{T}_{1}})\]
D) \[\frac{3}{4}{{N}_{a}}{{k}_{B}}\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)\]
Correct Answer: A
Solution :
The amount of heat energy required. \[Q=\frac{d}{2}nR\Delta \Tau \] \[\Rightarrow \]\[Q=\frac{3}{2}\times \frac{1}{4}\times {{k}_{B}}{{N}_{a}}\Delta \Tau =\frac{3}{8}{{N}_{a}}{{K}_{B}}({{T}_{2}}-{{T}_{1}})\]
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