For each of the following cases, identify the order with respect to the reactant

Question

For each of the following cases, identify the order with respect to the reactant. The half-life of A decreases as the initial concentration of A decreases. A threefold increase in the initial concentration of A leads to a nine fold increase in the initial rate. A threefold increase in the initial concentration of A leads to a 1.73-fold increase in the initial rate. The time required for [A] to decrease from [A]_0, to [A]_0/2 is equal to the time required for [A] to decrease from [A]_0/2 to [A]_0/4. The rate of decrease of [A] is a constant

Explanation / Answer

1)
half life is directly proportional to initial concentration only for 0 order reaction
Answer: 0

2)
Order must be 2 for this to happen
Answer: 2

3)
half life is constant here since it doesn't depen on initial concentration
so, order must be 1
Answer: 1

4)
rate of decrease doesn't depend on concentration here.
so, order is 0
Answer: 0

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