Step 1: Understanding the Question:
We need to calculate the osmotic pressure ($\pi$) for an electrolyte solution using the van't Hoff factor ($i$).
Step 2: Key Formula or Approach:
The formula for osmotic pressure is:
\[ \pi = iCRT \]
where $i$ is the van't Hoff factor, $C$ is molarity, $R$ is the gas constant, and $T$ is temperature in Kelvin.
Step 3: Detailed Explanation:
Given:
$i = 1.125$
$C = 0.1$ M
$T = 300$ K
$R = 0.0821$ atm$\cdot$L/(mol$\cdot$K)
\[ \pi = 1.125 \times 0.1 \times 0.0821 \times 300 \]
\[ \pi = 1.125 \times 0.1 \times 24.63 \]
\[ \pi = 0.1125 \times 24.63 \]
\[ \pi \approx 2.770875\text{ atm} \]
Step 4: Final Answer:
The osmotic pressure is approximately 2.77 atm.