Second order consecutive irreversible reaction as shown in the bellow figure, were carried out in a constant volume isothermal batch reactor with different initial feed compositions. Reactor temperature was same in all the cases. In experiments where the ratio of concentration of B to that of A in the initial feed was less than 0.5, the concentration of B increased first, reached a maximum and then declined with time. However, for all experiments where this concentration ratio was 0.5 or above, concentration of B decreased monotonically with time right from the beginning. What is the ratio of the two rate constants (k1/k2) ?
Correct answer: A. 1/4
- A. 1/4
- B. 1/2
- C. 2
- D. 4
Explanation
At the boundary between initial increase and decrease of B, its initial rate is zero: k₁C_A0² = k₂C_B0². With C_B0/C_A0 = 0.5, k₁/k₂ = (0.5)² = 1/4.
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