Problem: A 1.10-g sample contains only glucose (C6H12O6) and sucrose (C12H22O11 ). When the sample is dissolved in water to a total solution volume of 25.0 mL, the osmotic pressure of the solution is 3.78 atm at 298 K. What is the percent by mass of sucrose in the sample?

FREE Expert Solution

We will do the following steps to solve the problem:

Step 1: Calculate the molality of the solution

Step 2: Calculate the total moles

Step 3: Calculate the mass of sucrose

Step 4: Calculate the percent by mass of sucrose in the sample

Step 1: Calculate the molality of the solution

The osmotic pressure (Π) of a solution is related to the molarity of the solution:

where:

i = van’t Hoff factor

M = molarity of the solution (in M or mol/L)

R = gas constant (0.08206 atm • L/mol • K)

T = temperature

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Problem Details

A 1.10-g sample contains only glucose (C6H12O6) and sucrose (C12H22O11 ). When the sample is dissolved in water to a total solution volume of 25.0 mL, the osmotic pressure of the solution is 3.78 atm at 298 K. What is the percent by mass of sucrose in the sample?