Question

TUMS is a popular remedy for acid indigestion. A typical TUMS tablet contains calcium carbonate plus some inert substances. When ingested, it reacts with the gastric juice (hydrochloric acid) in the stomach to give off carbon dioxide gas. When a 1.328-g tablet reacted with 40.00 mL of hydrochloric acid (density =1.140 g/mL), carbon dioxide gas was given off and the resulting solution weighed 46.699 g. Calculate the number of liters of carbon dioxide gas released if its density is 1.81 g/L.

Answer 1

0.1265 L

Step-by-step explanation:

Given:

mass of the tablet = 1.328 g

Volume of HCl = 40.00 mL

Density of HCl = 1.140 g/mL

Weight of the final solution = 46.699 g

Density of carbon-dioxide = 1.81 g/L

Now, the mass of HCl in the solution = Density × volume = 1.140 × 40.00 = 45.6 g

Now, the total weight of tablet and HCl = 45.6 + 1.328 = 46.928 g

also, total weight of the the mix = weight of tablet + weight of the HCl + weight of the carbon-dioxide

the final weight id after the release of carbon-dioxide from the total weight

thus,

Weight of the carbon-dioxide = total weight - Final weight = 46.928 - 46.699 = 0.229 g

hence, the number of liters carbon-dioxide released = volume of carbon-dioxide released = mass of carbon-dioxide released / density = 0.299 / 1.81 = 0.1265 L