The depression in freezing point observed for a formic acid solution of concentration 0.5 mL L⁻¹ is 0.0405°C. Density of formic acid is 1.05 g mL⁻¹. The Van't Hoff factor of the formic acid solution i

Question

The depression in freezing point observed for a formic acid solution of concentration 0.5 mL L⁻¹ is 0.0405°C. Density of formic acid is 1.05 g mL⁻¹. The Van't Hoff factor of the formic acid solution is nearly:

(Given for water )

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Strategy:
 Calculate the mass of formic acid in the solution, find its molality, and then use the freezing point depression formula to find the van't Hoff factor.

Step 1: Calculate mass and moles of formic acid ()
- Volume = 0.5 mL. Density = 1.05 g/mL.
- Mass .
- Molar mass of .

Step 2: Find Molality ()
Assuming 1 L of water (density 1 g/mL) is nearly 1 kg.

Step 3: Determine 
, .

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