RE-NEET 2026 Chemistry Arrhenius Equation MCQ Question with Solution

For an elementary chemical reaction, the Arrhenius plot is given below. If the energy of activation is 6.64 kJ mol⁻¹ and R = 8.3 J K⁻¹ mol⁻¹, the temperature at which the rate constant becomes e² min⁻¹ is

A

150 K

B

200 K

C

250 K

D

125 K

Correct Answer

Option B

Detailed Explanation

Chemistry | Chemical Kinetics

Topic: Arrhenius Equation Difficulty: 🟡 Medium

✅ Ans: B → 200 K

From Arrhenius equation:

\ln k=\ln A-\frac{E_a}{RT}

From graph, y-intercept:

\ln A=6

Given:

k=e^2\Rightarrow \ln k=2

2=6-\frac{6640}{8.3T}

4=\frac{800}{T}

\boxed{T=200\,K}

❌ Other options

150 K ❌ → does not satisfy Arrhenius equation
250 K ❌ → gives a different $k$
125 K ❌ → gives a different $k$

📌 NCERT: $\boxed{\ln k=\ln A-\frac{E_a}{RT}}$

🧠 NEET Trick: Graph intercept = $\ln A$ ; then substitute the required $\ln k$ .

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