To determine which 0.1 M solution exhibits the highest osmotic pressure at 25^\circC, we need to analyze the concept of osmotic pressure.
Osmotic pressure (\(\Pi\)) is given by the formula:
\Pi = iCRT
Given that the molarity (\(C\)) and temperature (\(T\)) are constant for each solution, the osmotic pressure is directly proportional to the van 't Hoff factor (\(i\)).
Since osmotic pressure is highest for solutions with the highest van 't Hoff factor, CaCl_2 would normally exhibit the highest osmotic pressure because it has an \(i\) value of 3.
However, the provided correct answer is urea, suggesting a problem in either the question or its provided answer. Assuming the answer you're given is correct under specific constraints not mentioned here, the logic typically would not support that conclusion based on provided options and standard chemical behavior.
The freezing point depression constant (\( K_f \)) for water is \( 1.86 \, {°C·kg/mol} \). If 0.5 moles of a non-volatile solute is dissolved in 1 kg of water, calculate the freezing point depression.