Question 5 of 28intermediate🔧 ApplyNumerical3 marks

Your mother gives you a bottle of orange juice concentrate to mix with water and serve it to your visiting friends. She asks you to mix two tablespoons of the concentrate with water in a glass tumbler. If each tablespoon measures 15 mL and you make 150 mL of juice per person, what is the % v/v of orange juice concentrate in the mixture you prepared?

Correct Answer

20% v/v

Exercise: Pause and Ponder | Q: 2 | (Page 5)
For More Understanding

Explanation

To find the concentration of the orange juice in the mixture, we use the volume by volume percentage (% v/v) formula provided in the text. First, we determine the volume of the solute (orange juice concentrate) by multiplying the number of tablespoons by the volume each tablespoon holds (2×152 \times 15 mL = 30 mL). Then, we use the given total volume of the solution (150 mL). Applying the formula % v/v = (Volume of solute / Volume of solution) × 100 gives us (30 / 150) × 100, which equals 20%.

Solution Steps

  1. Step 1: Calculate the Volume of solute (orange juice concentrate). Number of tablespoons = 2. Volume per tablespoon = 15 mL. Volume of solute = 2×152 \times 15 mL = 30 mL.

  2. Step 2: Identify the Volume of solution. Total volume of juice prepared per person = 150 mL.

  3. Step 3: Apply the formula for Volume by volume percentage (% v/v). % v/v = (Volume of solute / Volume of solution) × 100.

  4. Step 4: Substitute the values and calculate. % v/v = (30 mL / 150 mL) × 100 = 0.2×1000.2 \times 100 = 20% v/v.

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