MHT CET · Chemistry · Chemical Kinetics

In a first order reaction \(60 \%\) of the reactant converts into product in 45 minute. Calculate rate constant of the reaction.

A 0.0102 minute \(^{-1}\)
B 0.0204 minute \(^{-1}\)
C 0.0306 minute \(^{-1}\)
D 0.0408 minute \(^{-1}\)

Verified Solution

Answer & Solution

Correct Answer

(B) 0.0204 minute \(^{-1}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \mathrm{kt}=\ln \frac{\left[\mathrm{A}_{\mathrm{o}}\right]}{\left[\mathrm{A}_{\mathrm{t}}\right]} \\ & \mathrm{k} \times 45 \text { minute }=\ln \frac{100}{40} \\ & \mathrm{k}=0.0203 \text { minute }^{-1}\end{aligned}\)

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 MHT CET

Explore more questions on app