Rate Of Reaction

Question

For the reaction 2A + B → 3C, if the rate of disappearance of A is 0.6 mol L⁻¹ s⁻¹, the rate of formation of C is:

RankGuru · Accepted Answer

For a general reaction $aA + bB 	o cC$, the average rate is:
$Rate = -\frac{1}{a} \frac{\Delta [A]}{\Delta t} = -\frac{1}{b} \frac{\Delta [B]}{\Delta t} = +\frac{1}{c} \frac{\Delta [C]}{\Delta t}$
Given the reaction $2A + B 	o 3C$:
- Rate of disappearance of A $= -\frac{d[A]}{dt} = 0.6 	ext{ mol L}^{-1} 	ext{ s}^{-1}$
- Relationship: $	ext{Rate} = \frac{1}{2} \left( -\frac{d[A]}{dt} ight) = \frac{1}{3} \left( \frac{d[C]}{dt} ight)$
$\frac{1}{2} (0.6) = \frac{1}{3} \left( \frac{d[C]}{dt} ight)$
$0.3 = \frac{1}{3} \left( \frac{d[C]}{dt} ight) \implies \frac{d[C]}{dt} = 0.9 	ext{ mol L}^{-1} 	ext{ s}^{-1}$

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