| In the following reaction, how is the rate of appearance of the underlined product related to the rate of disappearance of the underlined reactant? [AIPMT 2000] |
| \[BrO_{3}^{-}(aq)+\underline{5B{{r}^{-}}(aq)}+6{{H}^{+}}(aq)\xrightarrow{{}}\]\[\underline{3B{{r}_{2}}(l)}+3{{H}_{2}}O(l)\] |
A) \[\frac{d[B{{r}_{2}}]}{dt}=-\frac{5}{3}\frac{d[B{{r}^{-}}]}{dt}\]
B) \[\frac{d[B{{r}_{2}}]}{dt}=-\frac{d[B{{r}^{-}}]}{dt}\]
C) \[\frac{d[B{{r}_{2}}]}{dt}=\frac{3}{5}\frac{d[B{{r}^{-}}]}{dt}\]
D) \[\frac{d[B{{r}_{2}}]}{dt}=-\frac{3}{5}\frac{d[B{{r}^{-}}]}{dt}\]
Correct Answer: D
Solution :
[d] \[-\frac{1}{5}\frac{d\,[B{{r}^{-}}]}{dt}=+\frac{1}{3}\frac{d\,[B{{r}_{2}}]}{dt}\] or \[\frac{d\,[B{{r}_{2}}]}{dt}=-\frac{3}{5}\frac{d\,[B{{r}^{-}}]}{dt}\]
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