For each of the following balanced chemical equations,...

For each of the following balanced chemical equations, calculate how many moles of product(s) would be produced if 0.500 mole of the first reactant were to react completely. a. $\mathrm{CO}_{2}(g)+4 \mathrm{H}_{2}(g) \rightarrow \mathrm{CH}_{4}(g)+2 \mathrm{H}_{2} \mathrm{O}(l)$ b. $\mathrm{BaCl}_{2}(a q)+2 \mathrm{AgNO}_{3}(a q) \rightarrow 2 \mathrm{AgCl}(s)+\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}(a q)$ c. $\mathrm{C}_{3} \mathrm{H}_{8}(g)+5 \mathrm{O}_{2}(g) \rightarrow 4 \mathrm{H}_{2} \mathrm{O}(l)+3 \mathrm{CO}_{2}(g)$ d. $3 \mathrm{H}_{2} \mathrm{SO}_{4}(a q)+2 \mathrm{Fe}(s) \rightarrow \mathrm{Fe}_{2}\left(\mathrm{SO}_{4}\right)_{3}(a q)+3 \mathrm{H}_{2}(g)$

For each of the following balanced chemical equations, calculate how many moles of product(s) would be produced if 0.500 mole of the first reactant were to react completely.
a. $\mathrm{CO}_{2}(g)+4 \mathrm{H}_{2}(g) \rightarrow \mathrm{CH}_{4}(g)+2 \mathrm{H}_{2} \mathrm{O}(l)$
b. $\mathrm{BaCl}_{2}(a q)+2 \mathrm{AgNO}_{3}(a q) \rightarrow 2 \mathrm{AgCl}(s)+\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}(a q)$
c. $\mathrm{C}_{3} \mathrm{H}_{8}(g)+5 \mathrm{O}_{2}(g) \rightarrow 4 \mathrm{H}_{2} \mathrm{O}(l)+3 \mathrm{CO}_{2}(g)$
d. $3 \mathrm{H}_{2} \mathrm{SO}_{4}(a q)+2 \mathrm{Fe}(s) \rightarrow \mathrm{Fe}_{2}\left(\mathrm{SO}_{4}\right)_{3}(a q)+3 \mathrm{H}_{2}(g)$

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Key Concepts

Mole Ratio

A mole ratio is the quantitative relationship between the amounts of reactants and products represented by the coefficients in a balanced chemical equation. It is used to convert moles of one substance into moles of another, which is essential in determining how much product is formed from a given amount of reactant.

Stoichiometry

Stoichiometry is the branch of chemistry that involves calculating the relative amounts of reactants and products in chemical reactions. It relies on balanced chemical equations to determine the specific proportions needed for reactions and to predict the outcome of these reactions quantitatively.

Balanced Chemical Equations

Balanced chemical equations illustrate the conservation of mass by showing equal numbers of each type of atom on both the reactant and product sides. They are crucial for ensuring that chemical calculations, such as those used in stoichiometry, are based on accurate and complete relationships between substances.

Conversion Factors

Conversion factors are the numerical relationships derived from the coefficients of a balanced equation that allow chemists to convert between units, particularly moles, of different substances. They are essential in stoichiometric calculations to determine the moles of product expected from a known quantity of reactant.

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