APFIVE Second Order Reaction Kinetics
During a water treatment process, phosphate removal follows a second-order reaction described by $$-\frac{d[P]}{dt}=k[P]^2$$ with \(k=0.2\) L/(mg·min). All of the following statements are true except:
| Time (min) | 1/[P] (L/mg) |
|---|---|
| 0 | 1/[P₀] |
| t | k*t + 1/[P₀] |
A
A plot of $$1/[P]$$ versus time yields a straight line with a slope equal to $$-0.2$$.
B
The half-life for a second-order reaction depends on the initial phosphate concentration.
C
The reaction is second-order with respect to phosphate.
D
Integration of the rate law gives $$1/[P]=k*t+1/[P₀]$$, where \([P₀]\) is the initial phosphate concentration.
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