TS EAMCET · Chemistry · Chemical Kinetics

For a first order reaction $t_{1 / 2}$ is $1200 s .$ The specific rate constant in $s^{- 1}$ is

A $5.8 \times 10^{- 4}$
B $5.8 \times 10^{- 5}$
C $0.58 \times 10^{- 6}$
D $0.58 \times 10^{- 5}$

Verified Solution

Answer & Solution

Correct Answer

(A) $5.8 \times 10^{- 4}$

Step-by-step Solution

Detailed explanation

According to question, Half-Time or Half-Life Period of a First order Reaction The half-time of a reaction is defined as the time required to reduce the concentration of the reactant to half of its initial value. It is denoted by the symbol t1/2.…

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.

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For a first order reaction t1/2 is 1200 s. The specific rate constant in s-1 is

Step-by-step Solution

For a first order reaction $t_{1 / 2}$ is $1200 s .$ The specific rate constant in $s^{- 1}$ is