Chemistry

Chemistry

Problem

A solution-phase reaction obeys the rate law rate=k[A]0.5[B]2\text{rate} = k[A]^{0.5}[B]^2. Initially, [A]=0.050 M[A] = 0.050\,\text{M}, [B]=0.050 M[B] = 0.050\,\text{M}, and T=298 KT = 298\,\text{K}. Laboratory limits require that [A][A] not exceed 0.200 M0.200\,\text{M}, [B][B] not exceed 0.125 M0.125\,\text{M}, and the temperature not increase by more than 15 ∘C15\,^{\circ}\text{C}. Which set of adjustments will increase the initial rate by at least a factor of 10 while staying within all limits? (A 15 ∘C15\,^{\circ}\text{C} temperature rise multiplies kk by 1.6.) a) Increase [B][B] to 0.125 M0.125\,\text{M}; leave [A][A] and TT unchanged. b) Increase [A][A] to 0.200 M0.200\,\text{M} and [B][B] to 0.125 M0.125\,\text{M}; leave TT unchanged. c) Raise the temperature by 15 ∘C15\,^{\circ}\text{C}; leave [A][A] and [B][B] unchanged. d) Increase [B][B] to 0.100 M0.100\,\text{M} and raise TT by 15 ∘C15\,^{\circ}\text{C}; leave [A][A] unchanged.

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