Question

In the reaction,

$BrO to the power of minus subscript 3 space left parenthesis aq right parenthesis space plus space 5 Br to the power of minus space left parenthesis aq right parenthesis space plus 6 straight H to the power of plus space rightwards arrow space 3 Br subscript 2 left parenthesis straight l right parenthesis space plus 3 straight H subscript 2 straight O space left parenthesis straight l right parenthesis$
The rate of appearance of bromine (Br)₂ is related to rate of disappearnace of bromide ions as following

$fraction numerator straight d left square bracket Br subscript 2 right square bracket over denominator dt end fraction space equals space minus 3 over 5 fraction numerator straight d left square bracket Br to the power of minus right square bracket over denominator dt end fraction space$
$fraction numerator straight d left square bracket Br subscript 2 right square bracket over denominator dt end fraction space equals space minus space 5 over 3 fraction numerator d left square bracket B r right square bracket over denominator d t end fraction$
$fraction numerator straight d left square bracket Br subscript 2 right square bracket over denominator dt end fraction space equals space 5 over 3 fraction numerator straight d left square bracket Br to the power of minus right square bracket over denominator dt end fraction$
$fraction numerator straight d left square bracket Br subscript 2 right square bracket over denominator dt end fraction space equals space 3 over 5 fraction numerator d left square bracket B r to the power of minus right square bracket over denominator d t end fraction$

Solution

fraction numerator straight d left square bracket Br subscript 2 right square bracket over denominator dt end fraction space equals space minus 3 over 5 fraction numerator straight d left square bracket Br to the power of minus right square bracket over denominator dt end fraction space

Rate of appearance/disappearance
$equals space minus-or-plus space fraction numerator 1 over denominator stoichiometric space coefficient end fraction space straight X space fraction numerator left square bracket reactant space or space product over denominator time space taken end fraction$
For reaction,
$Rate space of space appearance space of space bromine space left parenthesis Br subscript 2 right parenthesis space equals space plus 1 third fraction numerator straight d left square bracket Br subscript 2 right square bracket over denominator dt end fraction Ratee space of space disappearance space of space bromide space ion space left parenthesis Br to the power of minus right parenthesis space equals space minus 1 fifth fraction numerator straight d left square bracket Br to the power of minus right square bracket over denominator dt end fraction or space straight d fraction numerator straight d left square bracket Br subscript 2 right square bracket over denominator dt end fraction space equals space minus space 3 over 5 fraction numerator straight d left square bracket Br to the power of minus right square bracket over denominator dt end fraction$

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Chemical Kinetics

Some More Questions From Chemical Kinetics Chapter

The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

What will be the effect of temperature on rate constant?

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