ઉદ્દીપક \(A \,\,300\,\,K\) એ સક્રિયકરણ શક્તિ \(10\,\,kJ\,\,mol ^{-1}\) જેટલી ધટાડે છે. પ્રક્રિયા દરનો ગુણોતર \(\frac{ k _{ T }, \text { Catalysed }}{ k _{ T }, \text { Uncatalysed }}\) એ \(e ^{ x }\) છે.\(x\) નું મૂલ્ય \(\dots\dots\dots\).[નજીકના પૂર્ણાંકમાં] [ધારી લો કે, પૂર્વ ધાતાકીય અવયવ બંને કિસ્સામાં સરખો છે. આપેલ \(R =8.31 J K ^{-1} mol^{-1}\)]

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.