Question

The label on a bottle of medicine reads​ "Each 5 mL teaspoonful contains​ glucose, 1.87​ g; levulose, 1.87​ g; and phosphoric​ acid, 21.8 ​mg." a. Find the amount of phosphoric acid in the recommended dosage of two teaspoons. b. If the bottle contains 4 ​ounces, find the quantity of phosphoric acid in the bottle. left parenthesis 1 oz almost equals 30 mL right parenthesis

Answer 1

(a) 43.6 mg; (b) 520 mg

(a) Mass of phosphoric acid (PA) in a dose

Mass of PA = 2 tsp × (21.8 mg PA/1 tsp) = 43.6 mg PA

(b) Mass of PA in the bottle

Step 1. Convert ounces to millilitres

Volume = 4 oz × (30 mL/1 oz) = 120 mL

Step 2. Calculate the mass of PA

Mass of PA = 120 mL × (21.8 mg PA/5 mL) ≈ 520 mg PA

Answer 2

The amount of phosphoric acid in the recommended dosage of two teaspoons is 43.6 grams.

The quantity of phosphoric acid in the bottle is 523.2 grams.

Explanation:

Given:

The volume of a teaspoonful is 5 mL

In 5 mL of medicine, there are 1.87 grams of glucose,1.87 grams of levulose, and 21.8 grams of phosphoric acid.

1 oz = 30 mL

To find:

a)The amount of phosphoric acid in the recommended dosage of two teaspoons

b) The quantity of phosphoric acid in the bottle

Solution:

a)

Mass of phosphoric acid in 1 teaspoonful = 21.8 g

Mass of phosphoric acid in 5 mL of medicine = 21.8 g

Mass of phosphoric acid in 1 mL of medicine = $\frac{21.8}{5} g=4.36 g$

Volume of medicine in two teaspoons = $5mL \times 2=10 mL$

Mass of phosphoric acid in 10 mL of medicine:

$=4.36\times 10 g=43.6 g$

The amount of phosphoric acid in the recommended dosage of two teaspoons is 43.6 grams.

b)

Volume of medicine in the bottle = 4 oz

$1 oz = 30 mL\\4oz=4\times 30 mL=120 ml$

Mass of phosphoric acid in 1 mL of medicine =4.36 g

Mass of phosphoric acid in 120 mL of medicine:

$=4.36\times 120 g=523.2 g$

The quantity of phosphoric acid in the bottle is 523.2 grams.

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