COMEDK · Chemistry · 19. Chemical Kinetics

The rate of appearance of bromine is related to the disappearance of bromide ion in the equation given below is:
\(\mathrm{BrO}_3^{-} \text {(aq) }+5 \mathrm{Br}^{-} \text {(aq) }+6 \mathrm{H}^{+} \rightarrow 3 \mathrm{Br}_2(\mathrm{l})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{l})\)

A \(\dfrac{\mathrm{d}\left[\mathrm{Br}_2\right]}{\mathrm{dt}}=-\dfrac{1}{5} \dfrac{\mathrm{d}\left[\mathrm{Br}^{-}\right]}{\mathrm{dt}}\)
B \(\dfrac{\mathrm{d}\left[\mathrm{Br}_2\right]}{\mathrm{dt}}=-\dfrac{3}{5} \dfrac{\mathrm{d}\left[\mathrm{Br}^{-}\right]}{\mathrm{dt}}\)
C \(\dfrac{\mathrm{d}\left[\mathrm{Br}_2\right]}{\mathrm{dt}}=\dfrac{5}{3} \dfrac{\mathrm{d}\left[\mathrm{Br}^{-}\right]}{\mathrm{dt}}\)
D \(\dfrac{\mathrm{d}\left[\mathrm{Br}_2\right]}{\mathrm{dt}}=\dfrac{3}{5} \dfrac{\mathrm{d}\left[\mathrm{Br}^{-}\right]}{\mathrm{dt}}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(\dfrac{\mathrm{d}\left[\mathrm{Br}_2\right]}{\mathrm{dt}}=-\dfrac{3}{5} \dfrac{\mathrm{d}\left[\mathrm{Br}^{-}\right]}{\mathrm{dt}}\)

Step-by-step Solution

Detailed explanation

For the given chemical reaction \(\mathrm{BrO}_3^{-} + 5\mathrm{Br}^{-} + 6\mathrm{H}^{+} \rightarrow 3\mathrm{Br}_2 + 3\mathrm{H}_2\mathrm{O}\), the rate of reaction \(r\) is expressed in terms of the rate of change of concentration of reactants and products as follows:…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From COMEDK

Explore more questions on app

The rate of appearance of bromine is related to the disappearance of bromide ion in the equation given below is:\(\mathrm{BrO}_3^{-} \text {(aq) }+5 \mathrm{Br}^{-} \text {(aq) }+6 \mathrm{H}^{+} \rightarrow 3 \mathrm{Br}_2(\mathrm{l})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{l})\)

Step-by-step Solution

The rate of appearance of bromine is related to the disappearance of bromide ion in the equation given below is:
\(\mathrm{BrO}_3^{-} \text {(aq) }+5 \mathrm{Br}^{-} \text {(aq) }+6 \mathrm{H}^{+} \rightarrow 3 \mathrm{Br}_2(\mathrm{l})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{l})\)