Question

For each of the scenarios, identify the order with respect to the reactant, A. A products The half-life of A is independent of the initial concentration of [A]. order: A three-fold increase in the initial concentration of A leads to a nine-fold increase in the initial rate. order: A three-fold increase in the initial concentration of A leads to a 1.73-fold increase in the initial rate. order: The time required for [A] to decrease from [A] to (Al,/2 is equal to the time required for [A] to decrease from (Al,/2 to [A],/4. order: The rate of decrease of [A] is a constant. order:

Answer 1

1)
here half life is independent of concentration.
So, it must be 1st order reaction
Answer: 1

2)
Rate = k [A]^x

Since rate becomes 9 times when A becomes 3 times and 3^2 is 9, value of x is 2
Answer: 2

3)
Rate = k [A]^x

Since rate becomes 1.73 times when A becomes 3 times and 3^1/2 is 1.73, value of x is 1/2
Answer: 0.5

4)
Half life is not changing here.
Half life is constant for 1st order reaction
Answer: 1

5)
Rate of decrease of concentration is constant for 0 order reaction.
[A] = [A]o – k*t
So, order is 0
Answer: 0