\(A \rightarrow 2 B + C\) પ્રક્રિયા માટે જ્યારે પ્રક્રિયક \(A\) ની સાંદ્રતા અનુક્રમે \(0.5\) અને \(1.0\, mol \,L ^{-1}\) હોય ત્યારે તેમના અર્ધઆયુુષ્યો અનુક્રમે \(100\, s\) અને \(50\, s\) થાય છે. પ્રક્રિયાનો ક્રમ \(....\) છે.

A \(2\)
B \(1\)
C \(3\)
D \(0\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(2\)

Step-by-step Solution

Detailed explanation

\(t _{\frac{1}{2}} \propto \frac{1}{\left[ A _{0}\right]^{ n -1}}\) \([100] \propto \frac{1}{(0.5)^{n-1}}\) \((50) \propto \frac{1}{(1)^{n-1}}\) \([2]^{1}=\left[\frac{1}{0.5}\right]^{ n -1}\) \([2]^{1}=[2]^{n-1}\) \(n -1=1\) \(n=2\) \(\text { order }=2\)

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

Explore more questions on app

From JEE Mains

Explore more questions on app