Calculate the Molarity of Lemonade Solution

How do I determine the molarity of the lemonade solution?

Given that 583 grams of lemonade makes 8 quarts, what is the molarity of the solution?

Answer:

The molarity of the lemonade solution can be determined by calculating the number of moles of the solute (C₆H₁₂O₆) and the volume of the solution. Let's break it down step by step.

Steps to Determine the Molarity:

1. Calculate the number of moles of C₆H₁₂O₆:

Given data:

Mass of C₆H₁₂O₆ = 583 grams

Molar mass of C₆H₁₂O₆ = 180 g/mol

Mole of C₆H₁₂O₆ = 583 grams / 180 g/mol = 3.24 moles

2. Calculate the volume of the solution:

Given that 1 quart is equal to 964.35 mL, and 8 quarts are used.

Volume of solution = 964.35 mL/quart * 8 quarts = 7714.8 mL = 7.7148 L

3. Finally, calculate the molarity of the lemonade solution:

Molarity = moles of solute / volume of solution

Molarity = 3.24 moles / 7.7148 L = 0.420 M

Therefore, the molarity of the lemonade solution prepared as per the given data is 0.420 M.