साथ दिये हुये आलेख में निम्नलिखित दो अभिक्रियाओं के लिये \(-\ln K _{ p }\) का ताप के साथ परिवर्तन दर्शाया गया है। \(M(s) + \frac{1}{2}{O_2}(s)\, \to \,MO(s)\,\) तथा \(C(s) + \frac{1}{2}{O_2}(g)\, \to \,CO(s)\,\) निम्नलिखित कथनों में से सही कथन पहचानिये।

A \(T <1200 K\) पर कार्बन का उपचयन प्रतिकूल है।
B कार्बन का उपचयन सभी ताप पर अनुकूल है।
C \(T <1200 K\), पर अभिक्रिया, \(MO ( s )+ C ( s )\) \(\rightarrow M ( s )+ CO ( g )\) स्वतः प्रवर्तित है ।
D \(T >1200 K\), पर कार्बन \(MO ( s )\) को अपचयित करके \(M ( s )\) देगा।

Verified Solution

Answer & Solution

Correct Answer

(C) \(T <1200 K\), पर अभिक्रिया, \(MO ( s )+ C ( s )\) \(\rightarrow M ( s )+ CO ( g )\) स्वतः प्रवर्तित है ।

Step-by-step Solution

Detailed explanation

At \(< 1200\,K\), carbon will reduce \(MO(s)\) to \(M(s)\) hence, chemical reaction \(MO(s) + C(s) \to M(s) + CO(g)\) is spontaneous

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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