Question

For each of the following cases, identify the order with respect to the reactant, A. Case (A ----> product)
1. The half-life of A increases as the initial concentration of A decreases.
2. A twofold increase in the initial concentration of A leads to a fourfold increase in the initial rate.
3.A twofold increase in the initial concentration of A leads to a 1.41-fold increase in the initial rate.
4.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.
5.The rate of decrease of [A] is constant.

Answer 1

Answer:

The answers to the question are

1. 2nd and above order order

2. 2nd order

3. 1/2 order

4.  1st order

5. 0 order

Explanation:

We have $\frac{N}{N_{0} } = e^{-\lambda t}$

1. For nth order reaction half life  $t_{\frac{1}{2} }$ ∝ $\frac{1}{[A_{0} ]^{n-1} }$

Therefore for a 0 order reaction increasing concentration of the reactant there will increase   $t_{\frac{1}{2} }$

First order reaction    is independent  [A₀].

Second order reaction  [A₀] decrease,    increase.

Similarly for a  third order reaction

1. 2nd order

2. 2nd order reaction

3. Order of reaction is 1/2.

4. 1st order reaction.

5. Zero order reaction.