For which of the following reaction the units of rate constant and rat...
If the reaction is zero order, the rate constant has exactly the same units as the rate of the reaction mol L-^1 s -^1. If the reaction is first order, then the concentration of one reactant takes care of the units of concentration, thus the rate constant is simply given in units of reciprocal time, s-^1.
For which of the following reaction the units of rate constant and rat...
Zero order reaction:
In a zero order reaction, the rate of the reaction is independent of the concentration of the reactants. The rate equation for a zero order reaction is given by:
rate = k
where 'k' is the rate constant. The units of the rate constant for a zero order reaction can be determined by considering the units of the rate.
Units of rate:
The units of rate depend on the stoichiometry of the reaction. For a zero order reaction, the rate is expressed in terms of the change in concentration per unit time, usually in moles per liter per second (mol/L/s).
Units of rate constant:
To determine the units of the rate constant, we can rearrange the rate equation:
rate = k
k = rate
Since the units of rate for a zero order reaction are in mol/L/s, the units of the rate constant will also be in mol/L/s.
Therefore, the rate constant and the rate of the reaction have the same units in a zero order reaction.
Other orders of reactions:
For other orders of reactions, the rate constant and the rate of the reaction do not have the same units.
- In a first order reaction, the rate constant has units of 1/s, while the rate has units of 1/s multiplied by the concentration of the reactant.
- In a second order reaction, the rate constant has units of 1/(mol/L)/s, while the rate has units of 1/s multiplied by the concentration squared.
- In a third order reaction, the rate constant has units of 1/(mol^2/L^2)/s, while the rate has units of 1/s multiplied by the concentration cubed.
Therefore, the correct answer is option 'A' - zero order reaction, where the units of the rate constant and the rate of the reaction are the same.