TS EAMCET · Chemistry · Chemical Kinetics

If the definition of the temperature coefficient of the reaction holds good for a reaction between $27 ° C$ and $37 ° C$ , the activation energy for the reaction in $kJ . {mol}^{- 1}$ is

A $102$
B $53.5$
C $\infty$
D $141.5$

Verified Solution

Answer & Solution

Correct Answer

(B) $53.5$

Step-by-step Solution

Detailed explanation

Given, T1=27+273=300 K ; T2=37+273=310K Temperature coefficient of a reaction is ideally = 2. Let the rate of reaction at 27°C be k i.e. K1=k , then rate of reaction at 37°C be 2k i.e. K2= 2k From the Arrhenius equation we get ,…

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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If the definition of the temperature coefficient of the reaction holds good for a reaction between 27°C and 37°C, the activation energy for the reaction in kJ.mol-1 is

Step-by-step Solution

If the definition of the temperature coefficient of the reaction holds good for a reaction between $27 ° C$ and $37 ° C$ , the activation energy for the reaction in $kJ . {mol}^{- 1}$ is