Case: Read the passage and answer the following questions

In the rate equation Rate = k [A]^x[B]^y

 x and y indicate how sensitive the rate is to the change in concentration of A and B. Sum of these exponents, i.e., x + y gives the overall order of a reaction whereas x and y represent the order with respect to the reactants A and B respectively. Hence, the sum of powers of the concentration of the reactants in the rate law expression is called the order of that chemical reaction. Order of a reaction can be 0, 1, 2, 3 and even a fraction.

The dimensions of rate constant of second-order reaction involves which of the following?

Concentration and time

For a second order reaction, the rate is directly proportional to the square of concentration of reactant. Rearranging the formula and putting units of respective known variables we will get the answer. which is a unit of concentration. So the rate constant involves time and concentration.

Units of rate constant = (mole)^1-n(litre)^n-1(Time)^-1 where n is the order of reaction.

If n = 2,

then, Units of rate constant = (mole)^1-2(litre)^2-1(Time)^-1

Units of rate constant = (mole)^-1(litre)¹(Time)^-1