Determine the osmotic pressure of a solution prepared by dissolving `25mg` of `K_(2)SO_(4)` in `2L` of water at `25^(@)C`, assuming that it is completely dissociated.

Explanation

To determine the osmotic pressure of a solution prepared by dissolving 25 mg of \( K_2SO_4 \) in 2 L of water at \( 25^\circ C \), we can follow these steps:

### Step 1: Identify the Van't Hoff Factor (i)
Potassium sulfate (\( K_2SO_4 \)) dissociates completely in solution into 2 potassium ions (\( 2K^+ \)) and 1 sulfate ion (\( SO_4^{2-} \)). Therefore, the total number of ions produced is:
\[ i = 2 + 1 = 3 \]

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