ચાર જુદી જુદી પ્રક્રિયાઓ માટે વેગ અચળાંક વિરુદ્ધ \(\frac{1}{\mathrm{T}}\) ના નીચેના આલેખ ધ્યાનમાં લો. તો આ પ્રક્રિયાઓની સક્રિયકરણ ઊર્જાઓ માટે નીચેના પૈકી ક્યો ક્રમ સાચો છે ?

A \(E_{\mathrm{b}}>E_{\mathrm{d}}>E_{\mathrm{c}}>E_{\mathrm{a}}\)
B \(E_{\mathrm{a}}>E_{\mathrm{c}}>E_{\mathrm{d}}>E_{\mathrm{b}}\)
C \(E_{\mathrm{c}}>E_{\mathrm{a}}>E_{\mathrm{d}}>E_{\mathrm{b}}\)
D \(E_{\mathrm{b}}>E_{\mathrm{a}}>E_{\mathrm{d}}>E_{\mathrm{c}}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(E_{\mathrm{c}}>E_{\mathrm{a}}>E_{\mathrm{d}}>E_{\mathrm{b}}\)

Step-by-step Solution

Detailed explanation

\(\log \mathrm{K}=\frac{-\mathrm{Ea}}{2.303 \mathrm{RT}}+\log \mathrm{A}\) Acrroding to Arrhenius equation plot of \(\operatorname{log } \mathrm { K }\) Vs. \(\frac{1}{\mathrm{T}}\) is linear with. slope \(=\frac{-\mathrm{Ea}}{2.303 \mathrm{R}}\) From plot we conclude: \(|\)…

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.

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