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An antacid tablet weighing \(0.853 \mathrm{~g}\) contained calcium carbonate as the active ingredient, in addition to an inert binder. When an acid solution weighing \(56.519 \mathrm{~g}\) was added to the tablet, carbon dioxide gas was released, producing a fizz. The resulting solution weighed \(57.152 \mathrm{~g}\). How many grams of carbon dioxide were produced?

Short Answer

Expert verified
0.220 g of carbon dioxide were produced.

Step by step solution

01

Identify the total initial mass

The initial mass includes both the antacid tablet and the acid solution. Add their masses together.\[0.853 \, \text{g (tablet)} + 56.519 \, \text{g (acid solution)} = 57.372 \, \text{g (initial mass)}\]
02

Identify the total final mass

The final mass is the mass of the resulting solution after the reaction has occurred.\[57.152 \, \text{g (final solution)}\]
03

Calculate the mass of carbon dioxide produced

Subtract the total final mass from the total initial mass to determine the mass of carbon dioxide released.\[\text{Mass of } \text{CO}_2 = 57.372 \, \text{g (initial)} - 57.152 \, \text{g (final)} = 0.220 \, \text{g}\]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mass Conservation
In chemical reactions, the law of mass conservation is pivotal. It states that the mass of substances involved in a closed system must remain constant throughout the reaction. This principle is showcased in the problem where we calculate the mass of carbon dioxide produced from an antacid reaction. Despite a change of form and matter (solid to gas), the total mass before and after the reaction stays the same. This ensures that no mass is lost, only transformed. When adding the mass of the initial antacid tablet with the acid solution, the combined mass reflects the starting mass of all substances before the reaction. Following the chemical interaction where gas is released, the remaining solution holds the sum of all products after the reaction, minus the escaped gas. Hence, the mass of the carbon dioxide produced is deduced by taking the difference between the initial mass and the final mass, illustrating perfect conservation of mass.
Gas Evolution Reactions
Gas evolution reactions are fascinating chemical processes in which a gas is one of the end products. These reactions can often be observed by bubbling or fizzing. In our exercise, when calcium carbonate reacts with an acid, carbon dioxide ( ext{CO}_2) is released, demonstrating a textbook example of a gas evolution reaction. This distinct reaction type involves a solid or liquid transforming into a gas during an acid-base interaction. These reactions are notable for not only producing a gas but also for their energetic release that is often visual and sometimes audible, as seen with fizzing. Observing the release of a gas provides a tangible indication of chemical change and aids in understanding reaction dynamics.
Chemical Stoichiometry
Chemical stoichiometry is the study of the quantitative relationships between reactants and products in chemical reactions. By employing stoichiometry, we can predict the amounts of substances consumed and produced. In the context of our exercise, stoichiometry helps in assessing the proportion of calcium carbonate in the antacid that reacted with the acid to produce carbon dioxide. Stoichiometry allows us to balance chemical equations, ensuring the conservation of atoms, and thus, is fundamental to solving for the unknowns, like the mass of ext{CO}_2 generated here. It demonstrates how to accurately relate the mass of the starting materials and the mass of the end products, confirming the change efficiently and in a balanced manner.
Calcium Carbonate Reactions
Calcium carbonate ( ext{CaCO}_3) is a versatile compound that participates in a variety of chemical reactions. One of the hallmark reactions involving calcium carbonate is its interaction with acids. When ext{CaCO}_3 is mixed with an acid, it undergoes a reaction whereby ext{CO}_2 gas is liberated, along with other byproducts such as water and a salt. This reaction is characteristic due to the presence of effervescence, the release of small gas bubbles. In the context of the exercise, calcium carbonate acts as the active ingredient in the antacid tablet, responsible for neutralizing excess stomach acid while also releasing carbon dioxide. This not only aids in alleviating symptoms of acid indigestion but also offers a practical exercise in understanding related stoichiometric calculations and gas evolution. The reactions of calcium carbonate with acids illustrate important concepts in chemistry, showing the utility of acids and bases in everyday life and their transformative chemical processes.

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Most popular questions from this chapter

Some iron wire weighing \(5.6 \mathrm{~g}\) is placed in a beaker and covered with \(15.0 \mathrm{~g}\) of dilute hydrochloric acid. The acid reacts with the metal and gives off hydrogen gas, which escapes into the surrounding air. After reaction, the contents of the beaker weigh \(20.4 \mathrm{~g} .\) What is the mass of hydrogen gas produced by the reaction?

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