JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics

For a reaction \(A \rightarrow P\) at \(T\text{ K}\), the half life \((t_{1/2})\) is plotted as a function of initial concentration \([A]_0\) of \(A\) as given below.

The value of \(x\) in the given figure is _______ s (Nearest integer)

A 70
B 80
C 90
D 100

Verified Solution

Answer & Solution

Correct Answer

(C) 90

Step-by-step Solution

Detailed explanation

From the given graph, the plot of half-life \(t_{1/2}\) versus initial concentration \([A]_0\) is a straight line passing through the origin. This indicates that \(t_{1/2}\) is directly proportional to \([A]_0\), which means \(t_{1/2} \propto [A]_0\). Therefore, the ratio…

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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For a reaction \(A \rightarrow P\) at \(T\text{ K}\), the half life \((t_{1/2})\) is plotted as a function of initial concentration \([A]_0\) of \(A\) as given below.The value of \(x\) in the given figure is _______ s (Nearest integer)

Step-by-step Solution

For a reaction \(A \rightarrow P\) at \(T\text{ K}\), the half life \((t_{1/2})\) is plotted as a function of initial concentration \([A]_0\) of \(A\) as given below.

The value of \(x\) in the given figure is _______ s (Nearest integer)