Which of the following graph is correct for a zero order reaction?
Plot of rate of reaction vs time
Let’s consider the following zero-order reaction.
A→ Products
Rate of reaction =k[A]0=k
As rate constant is fixed for a given reaction at specific temperature and it doesn’t depend upon time.
Hence, the rate of reaction will be constant in a graph of reaction rate vs time. So, it will be a straight horizontal line.
After some time, when the concentration of reactant vanishes, then rate of reaction suddenly falls with time.
So, option (A) is the correct plot while option (C) is the incorrect plot for reaction rate vs time graph.
Plot of reactant concentration vs time
For a zero-order reaction,
[A]=[A0]−kt……..(1)
Where,
[A0]= Initial concentration of reactant
[A]= Remaining concentration of reactant at time t
k= Rate constant
t= time
On comparing equation (1) with the equation of a straight line,
y=c+mx
It shows that, for the concentration of reactant vs time plot, the curve will be a straight line with negative slope (−k).
So, option (D) will be the correct plot, while option (B) will be the incorrect plot for the concentration of the reactant vs time graph.
Hence, options (A) and (D) are the correct answers.