JEE Advanced levelSingle correct optionDifficulty 3 of 3g3205
A reaction AIP has rate constants k1=2.0×10−3s−1 (A to I), k−1=30s−1 (I to A) and k2=20s−1 (I to P). Applying the steady-state approximation to the reactive intermediate I, the effective first-order rate constant for the disappearance of A is
A2.0×10−3s−1
B1.3×10−3s−1
C1.2×10−3s−1
D8.0×10−4s−1
Answer: D
Steady state: [I]=k1[A]/(k−1+k2). Rate =k2[I]=k1k2/(k−1+k2)[A], so keff=(2.0×10−3)(20)/50=8.0e−04s−1. The other values come from ignoring k2 in the denominator or other algebra slips.