Question

# How many Tums tablets containing 750 mg calcium carbonate would be needed to raise the pH...

How many Tums tablets containing 750 mg calcium carbonate would be needed to raise the pH of the stomach to 1.5 if the stomach contains 2.0 L of gastric juice with a pH of 1.2. How many to raise the pH to 3.7? Show steps.

stomach contains 2.0 L of gastric juice with a pH of 1.2

pH = -log [H+]

[H+]= 10-pH

[H+]= 10-1.2

[H+]= 0.0631 M

When the pH = 1.5 the [H+] should be

pH = -log [H+]

[H+]= 10-pH

[H+]= 10-1.5

[H+]= 0.0316 M

Difference is 0.0631 M - 0.0316 M = 0.0316 in 2 L it will be 0.0316 x 2 = 0.063 moles

0.063 moles of calcium carbonate is

MW of calcium carbonate is 100g/mol 0.063 moles will be = 0.063 x 100 = 6.3 g

1 Tablet has 750 mg

6.3 g is 8.4 tablets

For pH 3.7 it will be

pH = -log [H+]

[H+]= 10-pH

[H+]= 10-3.7

[H+]= 1.99 x 10-4 M

Difference is 0.0631 M - 1.99 x 10-4 M = 0.0629 in 2 L it will be 0.0316 x 2 = 0.1258 moles

MW of calcium carbonate is 100g/mol 0.1258 moles will be = 0.1258 x 100 = 12.58 g

1 Tablet has 750 mg

12.58 g is 16.77 tablets

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