Derive an expression to calculate the time required for the completion of a zero order reaction.
(N/A) For a zero order reaction,the integrated rate equation is $k = \frac{[R]_0 - [R]}{t}$.
For the completion of the reaction,the concentration of the reactant $[R]$ becomes $0$.
Substituting $[R] = 0$ in the equation:
$k = \frac{[R]_0 - 0}{t} = \frac{[R]_0}{t}$.
Therefore,the time required for completion is $t = \frac{[R]_0}{k}$.
For the completion of the reaction,the concentration of the reactant $[R]$ becomes $0$.
Substituting $[R] = 0$ in the equation:
$k = \frac{[R]_0 - 0}{t} = \frac{[R]_0}{t}$.
Therefore,the time required for completion is $t = \frac{[R]_0}{k}$.
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The concentration of $R$ in the reaction $R \rightarrow P$ was measured as a function of time and the following data is obtained:
$[R] \text{ (molar)}$ $1.0$ $0.75$ $0.40$ $0.10$ $t \text{ (min.)}$ $0.0$ $0.05$ $0.12$ $0.18$
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| $[R] \text{ (molar)}$ | $1.0$ | $0.75$ | $0.40$ | $0.10$ |
| $t \text{ (min.)}$ | $0.0$ | $0.05$ | $0.12$ | $0.18$ |
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MediumIIT 2010
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