Question

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.

Answer 1

2.80 × 10⁻³ M

Step-by-step 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 * (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 * (1mol)/(176.13g) = 7.21 * 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 * (1L)/(1,000mL) = 0.2576L`

Step 4: Calculate the molarity of the solution

`M = (7.21 * 10^(-4) mol)/(0.2576L) = 2.80 * 10^(-3) M`