The given graph is a representation of kinetics of a reaction [figure] The y and x axes for zero and first order reactions, respectively are
- zero order (y = concentration and x = time), first order (y = t1/2 and x = concentration)
- zero order (y = concentration and x = time), first order (y = rate constant and x = concentration)
- zero order (y = rate and x = concentration), first order (y = t1/2 and x = concentration)
- zero order (y = rate and x = concentration), first order (y = rate and x = t1/2)
Answer
(3) zero order (y = rate and x = concentration), first order (y = t1/2 and x = concentration)
Solution
The graph is a straight line parallel to the x-axis, i.e., y does not depend on x.
Zero order: Rate = k[R]0 = k
⇒ rate is independent of concentration, so a plot of rate (y) vs concentration (x) is a horizontal line. (A plot of [R] vs t is a straight line with negative slope, not horizontal.)
First order: t1/2 = 0.693k
⇒ as per NCERT, half-life of a first order reaction is independent of the initial concentration, so t1/2 (y) vs concentration (x) is a horizontal line.
∴ Zero order: y = rate, x = concentration; first order: y = t1/2, x = concentration.
Answer: (3)