Question

# One container of Tums costs 4.00 dollars. Each container has eighty 1.00 g tablets. Assume each...

One container of Tums costs 4.00 dollars. Each container has eighty 1.00 g tablets. Assume each Tums is 40.0 percent CaCO3 by mass. Using only Tums, you are required to neutralize 0.500 L of 0.400 M HCl. How much does this cost? Assume you are able to purchase individual tablets. Express your answer in dollars.

The balanced reaction will be---

2 HCl + CaCO3-------> CaCl2 + H2O + CO2

mol ratio of CaCO3 and HCl is 1:2

moles of HCl will be as---

0.500 L HCl x 0.4 mol/L = 0.2 mol HCl

moles of CaCO3 will be as---

0.2 mol HCl x 1 mol CaCO3 / 2 mol HCl = 0.1 mol CaCO3

Mass of CaCO3 can be calculated as---

0.1 mol CaCO3 x 100.1 g / 1 mol CaCO3 = 10.01 g CaCO3

Now, 40.0 % CaCO3 = 40/100 = 0.4

mass of CaCO3 / (80 tablets x 1 g/tablet x 0.4) = number of containers.

=> 10.01 / 32 = 0.3128125 (number of containers)

Cost = Number of containers x \$4 / container = 0.3128125 x \$ 4 = \$ 1.25

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