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← JEE Main 2017 · 2 Apr · Shift 1
ChemistrySingle correct+4 / -1Question 39 of 90

JEE Main 2017 · 2 Apr · Shift 1, Chemistry question 39

Two reactions R1R_1 and R2R_2 have identical pre-exponential factors. Activation energy of R1R_1 exceeds that of R2R_2 by 10 kJ mol−1^{-1}. If k1k_1 and k2k_2 are rate constants for reactions R1R_1 and R2R_2 respectively at 300 K, then ln⁡(k2/k1)\ln(k_2/k_1) is equal to :

(R = 8.314 J mol−1^{-1}K−1^{-1})

Choose one option
Answer and worked solution

Official answer: B

With equal pre-exponential factors,
ln⁡k2k1=E1−E2RT=100008.314×300≈4.\ln\frac{k_2}{k_1}=\frac{E_1-E_2}{RT}=\frac{10000}{8.314\times300}\approx4.