Question: 61: The given graph is a representation of kinetics of a reaction.
The y and x axes for zero and first order reactions, respectively are
(1) zero order ( \mathrm{y}= rate and \mathrm{x}= concentration), first order ( \mathrm{y}=\mathrm{t}_{1 / 2} and \mathrm{x}= concentration)
(2) zero order ( y= rate and x= concentration), first order ( y= rate and x=t_{1 / 2} )
(3) zero order ( y= concentration and x= time), first order ( y=t_{1 / 2} and x= concentration)
(4) zero order ( y= concentration and x= time), first order ( y= rate constant and x= concentration)
Answer: Option (1)
Explanation:
At constant temperature, the rate constant remains fixed and the kinetic behavior depends on the order of the reaction.
For a zero order reaction, the rate of reaction is independent of the concentration of the reactant.
Therefore, a plot of rate versus concentration gives a horizontal straight line.
Hence, for zero order reaction, \mathrm{y} represents rate and \mathrm{x} represents concentration.
For a first order reaction, the half-life t_{1/2} is independent of the initial concentration.
As a result, a plot of t_{1/2} versus concentration gives a horizontal straight line.
Hence, for first order reaction, \mathrm{y} represents t_{1/2} and
\mathrm{x} represents concentration.
Therefore, the correct set of axes for zero and first order reactions corresponds to option (1).