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  • For a chemical reaction <img alt="\mathrm{ A+2 B \rightarrow C+2 D}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%20A&plus;2%20B%20%5Crightarrow%20C&plus;2%20D%7D"

For a chemical reaction \mathrm{ A+2 B \rightarrow C+2 D} , the initial rate  \mathrm{ -\frac{d[A]}{d t} } at  \mathrm{t=0 } is experimentally found to be  \mathrm{2.5 \times 10^{-2} \mathrm{M} \mathrm{s}^{-1} }
What is the value of \mathrm{-\frac{d[B]}{d t} }  at \mathrm{ t=0 } in  \mathrm{ \mathrm{M} \mathrm{s}^{-1} } ?

Option: 1

2.5 \times 10^{-2}


Option: 2

5.0 \times 10^{-2}


Option: 3

1.25 \times 10^{-2}


Option: 4

None of the above


Answers (1)

best_answer

For a reaction,  \mathrm{ a A+b B \rightarrow Products}
We know, rate of reaction at any given time \mathrm{ =-\frac{1}{a} x \frac{d[A]}{d t}=-\frac{1}{b} x \frac{d[B]}{d t}}


Hence,       \mathrm{\frac{d[B]}{d t}=\frac{b}{a} x \frac{d[A]}{d t}=2 \frac{d[A]}{d t}

                            \mathrm{=2 \times 2.5 \times 10^{-2} \mathrm{M} \mathrm{s}^{-1}=5 \times 10^{-2} \mathrm{M} \mathrm{s}^{-1}}.

Posted by

sudhir.kumar

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