The ionization constnt of `(C_(2)H_(5))_(3)N` is `6.4xx10^(-5).` Calculate its degree of dissociation in its 0.1 M solution when it is mixed with 0.01 M NaOH solution.

Explanation

To solve the problem, we need to calculate the degree of dissociation (α) of triethylamine, \((C_2H_5)_3N\), in a 0.1 M solution when mixed with a 0.01 M NaOH solution. The ionization constant (\(K_a\)) is given as \(6.4 \times 10^{-5}\).

### Step-by-Step Solution:

1. **Understanding the Ionization Constant**:
The ionization constant (\(K_a\)) is given as:
\[
K_a = 6.4 \times 10^{-5}
...