For the reaction B + 2 D → 3 T , − d t d [ B ] = k [ B ] [ D ] 2 . The expression for − d t d [ D ] will be

Question

For the reaction B + 2 D → 3 T , − d t d [ B ] ​ = k [ B ] [ D ] 2 . The expression for − d t d [ D ] ​ will be

TestHub · Accepted Answer

The rate of reaction is related to the stoichiometry. For B + 2D -> 3T, the rate of disappearance of D is twice the rate of disappearance of B.

Given:

Rate of disappearance of B:

$- \frac{d [ B ]}{d t} = k [B] [D]^{2}$

From the stoichiometry of the reaction $B + 2 D \to 3 T$ , the rate of disappearance of D is twice the rate of disappearance of B.

$- \frac{d [ D ]}{d t} = 2 \times - \frac{d [ B ]}{d t}$

Substitute the given rate expression for B:

$- \frac{d [ D ]}{d t} = 2 k [B] [D]^{2}$

The final answer is A.

Chemistry - Chemical Kinetics Question with Solution | TestHub