Asample of cesium carbonate, weighing 3.80 g, requires 1.90 g of hydrogen bromide gas to completely decompose to water, cesium bromide, and carbon dioxide gas. the total mass of water and cesium bromide formed is 5.20 g and no hydrogen bromide or cesium carbonate remains. according to the law of conservation of mass, what mass of carbon dioxide must have been formed?
a. 0.50 g
b 1.40 g
c 5.49 g
d 10.90 g
e 1.90 g
give me an explanation on why it is the correct answer.

Choice A. 0.50 g.

Explanation:

According to the question, the reaction here converts

to

By the Law of Conservation of Mass, matter can neither be created nor destroyed in a chemical reaction. (Shrestha et. al, Introductory & GOB Chemistry, Chemistry Libretexts, 2019.)

In other words, the mass of the reactants, combined, shall be the same as the mass of the products, combined.

What's the mass of the reactants?

.

What's the mass of the products?

Let represent the mass of carbon dioxide produced in this reaction.

The mass of the products will be:

.

The two masses shall be equal. That is:

.

.

In other words, by the Law of Conservation of Mass, the mass of carbon dioxide produced in this reaction will be .

explanation:

the largest database of organic compounds lists about 10 million substances, which include compounds originating from living organisms and those synthesized by chemists. the number of potential organic compounds has been estimated at 1060—an astronomically high number. the existence of so many organic molecules is a consequence of the ability of carbon atoms to form up to four strong bonds to other carbon atoms, resulting in chains and rings of many different sizes, shapes, and complexities. the simplest organic compounds contain only the elements carbon and hydrogen, and are called hydrocarbons. even though they are composed of only two types of atoms, there is a wide variety of hydrocarbons because they may consist of varying lengths of chains, branched chains, and rings of carbon atoms, or combinations of these structures. in addition, hydrocarbons may differ in the types of carbon-carbon bonds present in their molecules. many hydrocarbons are found in plants, animals, and their fossils; other hydrocarbons have been prepared in the laboratory. we use hydrocarbons every day, mainly as fuels, such as natural gas, acetylene, propane, butane, and the principal components of gasoline, diesel fuel, and heating oil. the familiar plastics polyethylene, polypropylene, and polystyrene are also hydrocarbons. we can distinguish several types of hydrocarbons by differences in the bonding between carbon atoms. this leads to differences in geometries and in the hybridization of the carbon orbitals.

the answer is d. 74.02