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Chemical Kinetics

Question
CBSEENCH12006240

(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.

Solution

(a)The rate i.e., dx / dt depends on the concentration of the reactant. Let dx / dt = k[A]1.

On taking log

logdxdt = log K + 1 log 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)
2N2O5(g)   2NO2(g) + 12O2(g)     Rate = k[N2O5]


Hydrogenation of ethene is an example of first order reaction.
C2H4(g) + H2 (g) → C2H6(g)

Rate = k [C2H4]