Consider parallel first-order reactions A - B (k1 = 6.93 * 10⁻¹ min⁻¹) and A - C (k2 = 13.86 * 10⁻¹ min⁻¹). A, B and C are all optically active, with specific rotations per unit concentration of +60 deg, -72 deg and +42 deg respectively. The initial concentration of A is 2 M. Which state

Question

Consider parallel first-order reactions A -> B (k1 = 6.93 * 10⁻¹ min⁻¹) and A -> C (k2 = 13.86 * 10⁻¹ min⁻¹). A, B and C are all optically active, with specific rotations per unit concentration of +60 deg, -72 deg and +42 deg respectively. The initial concentration of A is 2 M. Which statement is correct?

Accepted Answer

Solution will be optically active and dextrorotatory after very long time. At t = infinity, A (2 M) splits into B = 2*(1/3) and C = 2*(2/3); net rotation = (2/3)(-72) + (4/3)(42) = -48 + 56 = +8 deg, which is positive (dextrorotatory).

Solution

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