For a first order reaction, derive expression for the degree of dissociation of the reactant in the exponential form.

Explanation

To derive the expression for the degree of dissociation (α) of a reactant in a first-order reaction, we can follow these steps:

### Step 1: Understanding the Reaction
Consider a first-order reaction where a reactant A dissociates into products. The degree of dissociation (α) is defined as the fraction of the initial amount of A that has reacted.

### Step 2: Initial Concentration
Let the initial concentration of the reactant A be \( A_0 \). After dissociation, if \( X \) is the amount that has dissociated, the concentration of A at any time \( t \) will be:
\[ A = A_0 - X \]
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