\(2 \mathrm{~N}_2 \mathrm{O}_{5(\mathrm{~g})} \rightarrow 4 \mathrm{NO}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})}\) સમીકરણ વડે \(\mathrm{CCl}_4\) માં \(\mathrm{N}_2 \mathrm{O}_5\) ની વિઘટન થઈને પ્રકિયા માટે જરૂરી \(\mathrm{NO}_2\) ઉત્પન્ન થાય છે. \(\mathrm{N}_2 \mathrm{O}_5\) ની પ્રારંભિક સાંદ્રતા \(3 \mathrm{~mol} \mathrm{~L}^{-1}\) અને તેની \(30\) મિનીટ પછી \(2.75 \mathrm{~mol} \mathrm{~L}^{-1}\) છે. \(\mathrm{NO}_2\) બનવાનો (સર્જન) વેગ (દર) એ \(x \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~min}^{-1}\) છે. \(x\) નું મુલ્ય _______ છે.(નજીકનો પૂણાંક)

A \(16\)
B \(17\)
C \(18\)
D \(19\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(17\)

Step-by-step Solution

Detailed explanation

Rate of reaction (ROR) \(=-\frac{1}{2} \frac{\Delta\left[\mathrm{N}_2 \mathrm{O}_5\right]}{\Delta \mathrm{t}}=\frac{1}{4} \frac{\left[\mathrm{NO}_2\right]}{\Delta \mathrm{t}}=\frac{\Delta\left[\mathrm{O}_2\right]}{\Delta \mathrm{t}}\)…

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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