In a reaction involving one single reactant, the fraction of the reactant consumed may be defined a f=1−CC0 where C0 and C are the concentration of the reactant at the start and after time, t. For a first order reaction.

f=1−CC0;dfdt=−1C0dcdt;−dcdt=k⋅c⇒ dfdt=+kCC0=(1−f)⋅k

In a reaction involving one single reactant, the fraction of the reactant consumed may be defined a f=1−CC0 where C0 and C are the concentration of the reactant at the start and after time, t. For a first order reaction.

f=1−CC0;dfdt=−1C0dcdt;−dcdt=k⋅c⇒ dfdt=+kCC0=(1−f)⋅k

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In a reaction involving one single reactant, the fraction of the reactant consumed may be defined a $f = (1 - \frac{C}{C_{0}})$ where $C_{0}$ and $C$ are the concentration of the reactant at the start and after time, t. For a first order reaction.

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$- \frac{d f}{d t} = k f$

$\frac{d f}{d t} = k f$

$- \frac{d f}{d t} = k (1 - f)$

$\frac{d f}{d t} = k (1 - f)$

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$\begin{array}{l} f = 1 - \frac{C}{C_{0}}; \frac{d f}{d t} = - \frac{1}{C_{0}} \frac{d c}{d t}; - \frac{d c}{d t} = k \cdot c \\ \Rightarrow \frac{d f}{d t} = \frac{+ k C}{C_{0}} = (1 - f) \cdot k \end{array}$

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In a reaction involving one single reactant, the fraction of the reactant consumed may be defined a f=1−CC0 where C0 and C are the concentration of the reactant at the start and after time, t. For a first order reaction.

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In a reaction involving one single reactant, the fraction of the reactant consumed may be defined a $f = (1 - \frac{C}{C_{0}})$ where $C_{0}$ and $C$ are the concentration of the reactant at the start and after time, t. For a first order reaction.