JEE Main · 2022 · 25 Jun 2022 · Shift 1 · Chemical Kinetics

For a given chemical reaction

γ_{1} A + γ_{2} B \to γ_{3} C + γ_{4} D

Concentration of C changes from 10 mmol

dm^{- 3}

20 mmol dm^{- 3}

in 10 seconds. Rate of appearance of

D

is 1.5 times the rate of disappearance of

B

which is twice the rate of disappearance

A

. The rate of appearance of

D

has been experimentally determined to be 9 mmol

dm^{- 3} s^{- 1}

. Therefore the rate of reaction is

____

mmol dm^{- 3} s^{- 1}

. (Nearest Integer)

Answer: 1

Solution

Given relationships:

Rate of change of C:

\frac{d [ C ]}{d t} = \frac{20 - 10}{10} = 1

mmol dm⁻³ s⁻¹

From the relationships:

\frac{d [ C ]}{d t} : \frac{d [ D ]}{d t} = 1 : 9

This gives stoichiometric coefficients: 3A + 6B → C + 9D

The rate of reaction is defined as:

Rate = \frac{1}{γ _{3}} \frac{d [ C ]}{d t} = \frac{1}{1} \times 1 = 1

mmol dm⁻³ s⁻¹

Therefore, the answer is 1.

JEE Main · 2022 · 25 Jun 2022 · Shift 1 · Integer answer