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Chemical Kinetics — Chemistry STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceChemistryChemical Kinetics3 Marks
Question
Consider the reaction $2 A + B \rightarrow 2 C$. Suppose that at a particular moment during the reaction, rate of disappearance of $A$ is $0.076 M / s$,
(a) What is the rate of formation of $C$ ?
(b) What is the rate of consumption of B?
(c) What is the rate of the reaction?
✓

Answer

Given: $2 A + B \rightarrow 2 C$
Rate of disappearance of $A =0.076 Ms ^{-1}$
(a) Rate of formation of $C=$ ?
(b) Rate of consumption of $B =$ ?
(c) Rate of reaction $=$ ?
Rate of disappearance of $A =-\frac{d[ A ]}{d t}$
$=0.076 Ms ^{-1}$
(a) Rate of formation of $C =\frac{d[ C ]}{d t}=-\frac{d[ A ]}{d t}$
$=0.076 M s ^{-1}$
(b) Rate of disappearance of $B =-\frac{d[ B ]}{d t}$
$\begin{aligned}
& =-\frac{1}{2} \frac{d[ A ]}{d t} \quad \\
& =\frac{1}{2} \times 0.076=0.038 M s ^{-1}
\end{aligned}$
(c) Rate of reaction
$\begin{aligned}
& =-\frac{1}{2} \frac{d[ A ]}{d t}=\frac{-d[ B ]}{d t}=\frac{1}{2} \frac{d[ C ]}{d t} \\
& =\frac{1}{2}(0.076)=0.038=\frac{1}{2} \times 0.076 \\
& =0.038 Ms ^{-1}
\end{aligned}$
(a) Rate of formation of $C =0.076 Ms ^{-1}$
(b) Rate of consumption of $B=0.038 M s ^{-1}$
(c) Rate of reaction $=0.038 Ms ^{-1}$

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