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.

For a chemical reaction A→B, it is found that the rate of reaction doubles when the concentration of A is doubled. What is the order of the reaction?

One

Rate, r = k [A]^m    ......(i)

also 2r =k [2A]^m   ......(ii)

Dividing (i) by (ii), we get

(1/2) = (1/2)^m

so m=1