प्रथम कोटि की अभिक्रिया \(A \rightarrow 2 B\) के लिए, अभिकर्मक \(A\) का \(1\, mole\) \(100\, min\) के पश्चत् \(B\) के \(0.2\, moles\) देता है। अभिक्रिया की अर्ध-आयु \(\ldots . .\) \(\min\) है ।(निकटतम पूर्णांक में) [उपयोग कीजिए : \(\ln 2=0.69, \ln 10=2.3\) लघुगणक के गुण : \(\ln x ^{ y }= y \ln x\); \(\left.\ln \left(\frac{x}{y}\right)=\ln x-\ln y\right]\)

A \(450\)
B \(200\)
C \(100\)
D \(700\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(700\)

Step-by-step Solution

Detailed explanation

\(\quad \quad \quad \quad\quad \quad \mathrm{A} \longrightarrow \quad \mathrm{B}\) \(\mathrm{t}=0\quad \quad \quad \quad 1 \text { mole } \quad 0\) \(\mathrm{t}=100 \mathrm{~min}\quad 1-\mathrm{x} \quad \quad 2 \mathrm{x}\)…

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.

Same subject

सूची \(-I\) का मिलान सूची \(-II\) से करें।

सूची \(-I\) (रासायनिक अभिक्रिया)	सूची \(-II\) (अभिकर्मक )
\((a)\) \(\mathrm{CH}_{3} \mathrm{COOCH}_{2} \mathrm{CH}_{3} \rightarrow \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}\)	\((i)\) \(\mathrm{CH}_{3} \mathrm{MgBr} / \mathrm{H}_{3} \mathrm{O}^{+}\) \((1 .\) equivalent \()\)
\((b)\) \(\mathrm{CH}_{3} \mathrm{COOCH}_{3} \rightarrow \mathrm{CH}_{3} \mathrm{CHO}\)	\((ii)\) \(\mathrm{H}_{2} \mathrm{SO}_{4} / \mathrm{H}_{2} \mathrm{O}\)
\((c)\) \(\mathrm{CH}_{3} \mathrm{C} \equiv \mathrm{N} \rightarrow \mathrm{CH}_{3} \mathrm{CHO}\)	\((iii)\) \(\mathrm{DIBAL}-\mathrm{H} / \mathrm{H}_{2} \mathrm{O}\)
\((d)\) \(\mathrm{CH}_{3} \mathrm{C} \equiv \mathrm{N} \rightarrow \mathrm{CH}_{3}CO\mathrm{CH}_{3}\)	\((iv)\) \(\mathrm{SnCl}_{2}, \mathrm{HCl} / \mathrm{H}_{2} \mathrm{O}\)

JEE Mains 2021 Medium

इलेक्ट्रॉन बंधुता का मान ऋणात्मक _______ है। \(A\). \(\mathrm{Be} \rightarrow \mathrm{Be}^{-}\) \(B\). \(\mathrm{N} \rightarrow \mathrm{N}^{-}\) \(C\). \(\mathrm{O} \rightarrow \mathrm{O}^{2-}\) \(D\). \(\mathrm{Na} \rightarrow \mathrm{Na}^{-}\) \(E\). \(\mathrm{Al} \rightarrow \mathrm{Al}^{-}\) नीचे दिए गए विकल्पों में से सबसे उपयुक्त उत्तर चुनें :

JEE Mains 2024 Medium

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रूद्धोष्म प्रक्रम	डाइथर्मिक पात्र.
तंत्र \(\mathrm{A}\)	तंत्र \(\mathrm{B}\)