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(a)Show graphically how the rate of a first order reaction with only one reactant depends upon the concentration of the reactant.
(b) Give one example of a first order reaction.


(a)

(a)The rate i.e., dx / dt depends on the concentration of the reactan

The rate i.e., dx / dt depends on the concentration of the reactant. Let dx / dt = k[A]1.
On taking log
log dx over dt space equals space log space straight K space plus space 1 space log space straight A
On plotting log dx / dt versus log A is always a straight line with slope equal to 1.
(b) Example of a first order reaction.
Decomposition of nitrogen pentoxide (N2O5)
2 straight N subscript 2 straight O subscript 5 left parenthesis straight g right parenthesis space rightwards arrow space space 2 NO subscript 2 left parenthesis straight g right parenthesis space plus space 1 half straight O subscript 2 left parenthesis straight g right parenthesis
space space space space space Rate space equals space straight k left square bracket straight N subscript 2 straight O subscript 5 right square bracket

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