Chemical Kinetics - Result Question 4
####4. The correct difference between first and second order reactions is that
[2018]
(a) The rate of a first-order reaction does not depend on reactant concentrations, the rate of a second-order reaction does depend on reactant concentrations
(b) The half-life of a first-order reaction does not depend on $[A]_0$, the half-life of a second-order reaction does depend on $[A]_0$
(c) The rate of a first-order reaction does depend on reactant concentrations, the rate of a second-order reaction does not depend on reactant concentrations
(d) A first-order reaction can be catalyzed, a second-order reaction cannot be catalyzed
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Solution:
- (b) $(t _{1 / 2}) 1^{\text{st }}$ order $=$ Independent of concentration $(t _{1 / 2}) 2^{\text{nd }}$ order $\propto \frac{1}{[A]_0}$
Half life for the second order reaction is
$ t _{1 / 2}=\frac{1}{K \times[A]_0} $
