The ionisation constant of dimethylamine is `5.4 xx 10^(-4)` Calculate its degree of ionisation in its 0.02 M solution. What percentage of dimethylamine is ionised if the solution is also 0.1 M in NaOH ?

Explanation

To solve the problem, we need to calculate the degree of ionization of dimethylamine in a 0.02 M solution and then determine the percentage of dimethylamine that is ionized when the solution is also 0.1 M in NaOH.

### Step-by-Step Solution:

1. **Identify the Ionization Constant (Kb)**:
The ionization constant (Kb) for dimethylamine is given as \( 5.4 \times 10^{-4} \).

2. **Use the Degree of Ionization Formula**:
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