Select the correct reaction for the given rate: {rate} = -1/6 d[A]/dt = -1/4 d[B]/dt = 1/3 d[C]/dt = 1/4 d[D]/dt

Correct Answer is : 6A+4B→3C+4D6A + 4B → 3C + 4D6A+4B→3C+4D

Correct Answer is : 6A+4B→3C+4D6A + 4B → 3C + 4D6A+4B→3C+4D

Test Index

GUJCET 2025 Chemistry Paper

Question : 5 of 40

Marks: +1, -0

\text{rate} = -\frac{1}{6} \frac{d[A]}{dt} = -\frac{1}{4} \frac{d[B]}{dt} = \frac{1}{3} \frac{d[C]}{dt} = \frac{1}{4} \frac{d[D]}{dt}

Solution:

Concept:

For a reaction

aA + bB \to cC + dD

, the rate is divided by each reactant's or product's stoichiometric coefficient.

Explanation:

Write the general rate expression:

\text{rate} = -\frac{1}{a}\frac{d[A]}{dt} = -\frac{1}{b}\frac{d[B]}{dt} = \frac{1}{c}\frac{d[C]}{dt} = \frac{1}{d}\frac{d[D]}{dt}

Compare it with the given rate expression.

-\frac{1}{6}\frac{d[A]}{dt} = -\frac{1}{a}\frac{d[A]}{dt}

, so

a = 6

-\frac{1}{4}\frac{d[B]}{dt} = -\frac{1}{b}\frac{d[B]}{dt}

, so

b = 4

\frac{1}{3}\frac{d[C]}{dt} = \frac{1}{c}\frac{d[C]}{dt}

, so

c = 3

\frac{1}{4}\frac{d[D]}{dt} = \frac{1}{d}\frac{d[D]}{dt}

, so

d = 4

Thus, the correct reaction is:

6\mathrm{A} + 4\mathrm{B} \to 3\mathrm{C} + 4\mathrm{D}

Answer:

6\mathrm{A} + 4\mathrm{B} \to 3\mathrm{C} + 4\mathrm{D}

matches option B.

Go to Question:

Prev Question

Next Question