# 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?