Write a rate expresison for each speices. Assuming `[B]` is constant, write a rate expresison for `[A]` and `[C]` so that they do not contain `[B]` term. Under what conditions will the reaction be pseudo first order to second conditions will the reaction be pseudo first order to second order ?
Mechanism of reaction is
`A underset(k_(2))overset(k_(1))hArr B`
`{:(B+Aoverset(k_(3))rarrC:}/{:(2ArarrC)/`

Explanation

To solve the problem, we need to write the rate expressions for each species involved in the reactions and analyze the conditions under which the reaction behaves as pseudo first-order or pseudo second-order.

### Step 1: Write the Rate Expressions for Each Species

1. **For Species A**:
The rate of change of concentration of A can be expressed using the rate constants and concentrations involved in the reactions. The rate expression for A is:
\[
-\frac{d[A]}{dt} = k_1[A] - k_2[B] - k_3[A][B]
...