Consider the following hypothetical reaction mechanism A + 3B → 2C. The rate of appearance of C give

Consider the following hypothetical reaction mechanism A + 3B → 2C. The rate of appearance of C given by d[C]/dt may also be expressed as: A) d[C]/dt = d[A]/dt B) d[C]/dt = −(3/2) d[B]/dt C) d[C]/dt = −(2/3) d[B]/dt E) d[C]/dt = (2/3) d[B]/dt

Solution: Let's write the rate expression

Rate = -Δ[A] = -1 Δ[B] = 1 Δ[C]

Δt 3 Δt 2 Δt

The rate of appearance of C is Δ[C]/Δt. Let's solve for it in terms of B.

-1 Δ[B] = 1 Δ[C]

3 Δt 2 Δt

Δ[C]/Δt = -2/3 Δ[B]/Δt Choice C