1 \(4.2 \times {10^5}{\rm{se}}{{\rm{c}}^{ - 1}}\)
2 \(8.4 \times {10^5}{\rm{se}}{{\rm{c}}^{ - 1}}\)
3 \(7.4 \times {10^5}{\rm{se}}{{\rm{c}}^{ - 1}}\)
4 unpredictable.
Explanation:
Let the value of k be \({{\text{k}}_{\text{1}}}\) at 300 K and \({{\text{k}}_{\text{2}}}\) at 310 K .
As,\({\rm{log}}\frac{{{{\rm{k}}_{\rm{2}}}}}{{{{\rm{k}}_{\rm{1}}}}} = \frac{{{{\rm{E}}_{\rm{a}}}}}{{{\rm{2}}{\rm{.303R}}}}\left( {\frac{{{{\rm{T}}_{\rm{2}}} - {{\rm{T}}_1}}}{{{{\rm{T}}_{\rm{1}}}{{\rm{T}}_2}}}} \right)\)
\({\text{log}}\,{{\text{k}}_2} - {\text{log}}\,{{\text{k}}_1} = 0\)\(\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {\because {{\text{E}}_{\text{a}}} = 0} \right)\)
\({\rm{log}}\,{{\rm{k}}_2} = {\rm{log }}{{\rm{k}}_{\rm{1}}} \Rightarrow {{\rm{k}}_{\rm{2}}} = {{\rm{k}}_1}\)
\({\rm{Hence,the}}\,{\rm{value}}\,{\rm{of}}\,{\rm{k}}\,{\rm{at}}\,{\rm{310\;K}} = 4.2 \times {10^5}{\rm{se}}{{\rm{c}}^{ - 1}}\)