Question

Given that one cup = 257.6 mL, calculate the molarity of vitamin C in orange juice.

Answer 1

Answer:

2.80 × 10⁻³ M

Explanation:

There is some info missing. I think this is the original question.

One cup of fresh orange juice contains 127 mg of ascorbic acid (vitamin C, C₆H₈O₆). Given that one cup = 257.6 mL, calculate the molarity of vitamin C in orange juice.

Express your answer to an appropriate number of significant figures with the appropriate units.

Step 1: Convert the mass of ascorbic acid to grams

We will use the relationship 1 g = 1,000 mg.

$127mg \times \frac{1g}{1,000mg} = 0.127g$

Step 2: Calculate the moles corresponding to 0.127 g of ascorbic acid

The molar mass of ascorbic acid is 176.13 g/mol.

$0.127g \times \frac{1mol}{176.13g} = 7.21 \times 10^{-4} mol$

Step 3: Convert the volume of the solution to liters

We will use the relationship 1 L = 1,000 mL.

$257.6mL \times \frac{1L}{1,000mL} = 0.2576L$

Step 4: Calculate the molarity of the solution

$M = \frac{7.21 \times 10^{-4} mol}{0.2576L} = 2.80 \times 10^{-3} M$