Problem: A solution of sucrose (C12H22O11 of MW 342 grams/mole) in benzene is 0.40 molal. The solution’s density is 0.90 grams/mL. How many milliliters of the solution would contain 0.10 moles of sucrose?1. 444 mL2. 316 mL 3. 250 mL4. 360 mL5. 225 mL

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FREE Expert Solution

We’re being asked to determine the volume (in mL) of solution that would contain 0.10 mol sucrose in a 0.40 molal solution.


Recall that molality is the ratio of the moles of solute and the mass of solvent (in kilograms)


In other words:


Molality(m)=moles solutekg solvent


The mass of the solution is simply mass of solute + mass of solvent


For this problem, we need to do the following steps:

Step 1: Determine the mass of sucrose (solute).

Step 2: Determine the mass of benzene (solvent).

Step 3: Calculate the mass and volume of the solution.


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Problem Details

A solution of sucrose (C12H22O11 of MW 342 grams/mole) in benzene is 0.40 molal. The solution’s density is 0.90 grams/mL. How many milliliters of the solution would contain 0.10 moles of sucrose?

1. 444 mL

2. 316 mL 

3. 250 mL

4. 360 mL

5. 225 mL

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Molality concept. You can view video lessons to learn Molality. Or if you need more Molality practice, you can also practice Molality practice problems.

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Based on our data, we think this problem is relevant for Professor Dixon's class at UCF.