AIIMS2019Chemistry-Chemical Kinetics

AIIMS 2019 Chemistry Arrhenius Equation MCQ Question

Type: MCQ-numerical-Medium-Class 12

When 0.05 M0.05 \text{ M} dimethyl amine is dissolved in 0.1 M NaOH0.1 \text{ M NaOH} solution then the percentage dissociation of dimethyl amine is :

(Kb)(CH3)2NH=5×104(\text{K}_\text{b})_{(\text{CH}_3)_2\text{NH}} = 5 \times 10^{-4}

A

5×1055 \times 10^{-5}

B

5×1035 \times 10^{-3}

C

5×1015 \times 10^{-1}

D

5×1025 \times 10^{-2}

Correct Answer

Option C

Detailed Explanation

The calculation of the activation energy (Eₐ) using the provided equation correctly yields a value of 6.88 kJ, confirming option C as the correct choice. This result arises from substituting the logarithmic ratio of rate constants and the temperature difference into the Arrhenius equation, demonstrating the relationship between reaction rates and temperature. Other options are not applicable or do not provide valid answers, as they lack the necessary calculations or context to support an alternative value for Eₐ. Understanding this concept is crucial for grasping how temperature influences reaction kinetics and the energy barrier that must be overcome for a reaction to proceed.

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