Question

In the following reaction, how is the rate of appearance of bromine related to the rate of disappearance of bromide?
$Br{O}_{3\left(aq\right)}^{-}+5B{r}_{\left(aq\right)}^{-}+6H_{\left(aq\right)}^{+}\to 3B{r}_{2\left(l\right)}+3H_2{O}_{\left(l\right)}$

• A. $\frac{d}{dt}\left[B{r}_2\right]=\frac{-5}{3}\frac{d}{dt}\left[B{r}^{-}\right]$
• B. $\frac{d}{dt}\left[B{r}_2\right]=\frac{d}{dt}\left[B{r}^{-}\right]$
• C. $\frac{d}{dt}\left[B{r}_2\right]=\frac{-d}{dt}\left[B{r}^{-}\right]$
• D. $\frac{d}{dt}\left[B{r}_2\right]=\frac{-3}{5}\frac{d}{dt}\left[B{r}^{-}\right]$

Answer 1

The correct option is D $\frac{d}{dt}\left[B{r}_2\right]=\frac{-3}{5}\frac{d}{dt}\left[B{r}^{-}\right]$

$Rate=\frac{-1}{5}\frac{d}{dt}\left[B{r}^{-}\right]=+\frac{1}{3}\frac{d}{dt}\left[B{r}_2\right]$
$\frac{d}{dt}\left[B{r}_2\right]=\frac{-3}{5}\frac{d}{dt}\left[B{r}^{-}\right]$