Question

Write in a zero order reaction? Drive the rate expression for it and mention its characteristics ​

Answer 1

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That's the expression for integrated rate law for zero order reaction.

Answer 2

Explanation :

Zero order reaction : A reaction is said to be of zero order if the rate is independent of the concentration of the reactants, that means the rate is directly proportional to the zeroth power of the concentration of the reactants.

For the reaction

$A\rightarrow \text{Products}$

If the reaction is zero order, then

$Rate=-\frac{d[A]}{dt}=k[A]^0=k$

or,

$d[A]=-kdt$

where, k is the rate constant.

Now integrating both sides, we get

$[A]=-kt+C$           .....(1)

where, C is the constant of integration

At t = 0, the concentration of the reactant $A=[A]_o$, where $[A]_o$ is the initial concentration of the reactant.

Therefore, $[A]_o=C$

Now substituting the value of 'C' in the equation (1), we get

$[A]=-kt+[A]_o$

$k=\frac{1}{t}\times ([A]_o-[A])$

This is the expression for the rate constant of zero order reaction.

The characteristic of zero order reaction are :

• The concentration of reactant decreases linearly with time.
• The time required for the reaction to be complete, i.e., time at which [A] is zero.
• $t_{completion}=\frac{[A]_0}{k}=\frac{(\text{Initial concentration})}{(\text{Rate constant})}$
• The units of k is, $mol.L^{-1}s^{-1}$.