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.