A solution prepared by dissolving 1.628 g of sucrose, a nonelectrolyte, in enough water to produce 210.0 mL of solution has an osmotic pressure of 420.8 mmHg at 298 K. What is the molecular weight of sucrose?

 The molecular weight of sucrose is 342 g/mol

Explanation:

To calculate the concentration of solute, we use the equation for osmotic pressure, which is:

Or,

where,

= osmotic pressure of the solution = 420.8 mmHg

i = Van't hoff factor = 1 (for non-electrolytes)

Mass of solute (sucrose) = 1.628 g  

Volume of solution = 210.0 mL

R = Gas constant =

T = temperature of the solution =

Putting values in above equation, we get:

Hence, the molar mass of the sucrose is 342 g/mol

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