The concentration of citric acid in citrus fruits ranges from 0.005% to 0.30%. Consider a 97.8 mL sample of pure lime juice with a citric acid concentration of 0.131%. How many grams of citric acid are in the sample?

Question

13-01-2025
Chemistry

High School

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The concentration of citric acid in citrus fruits ranges from 0.005% to 0.30%. Consider a 97.8 mL sample of pure lime juice with a citric acid concentration of 0.131%. How many grams of citric acid are in the sample?

Answer :

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ajiscruzse99 ajiscruzse99 · Answer 1 · 2023-08-06T23:56:28-04:00

Final answer:

To find the amount of citric acid in a 97.8 mL sample of lime juice with a citric acid concentration of 0.131%, you can use the percentage concentration formula. The calculation reveals that there are approximately 0.128 grams of citric acid in the sample.

Explanation:

The concentration of citric acid in citric fruits ranges from 0.005% to 0.30%. Considering a 97.8 mL sample of pure lime juice with a citric acid concentration of 0.131%, the amount of citric acid in the sample can be calculated using the formula for percentage concentration: (concentration in % × volume in mL) / 100. This formula converts the percentage concentration to a mass, giving the answer in grams.

First, convert the volume of lime juice to liters, as this will simplify the calculation and conversions later. However, in this particular instance, since the result is needed in grams and we're starting with mL and percentage concentration, we can calculate directly without converting to liters.

Calculation: (0.131% × 97.8 mL) / 100 = 0.128198 / 100 = 0.128198 g of citric acid.

This calculation shows that there are approximately 0.128 g of citric acid in the 97.8 mL sample of lime juice.