Natural gas, CH4, burns in oxygen as shown in the reaction...

Natural gas, $\mathrm{CH}_4$, burns in oxygen as shown in the reaction below. A 1.0 -liter cylinder containing $\mathrm{CH}_4$ with a pressure of 2.1 atmospheres at a temperature of 298 kelvin is completely used to power a portable stove. $$ \mathrm{CH}_4(g)+2 \mathrm{O}_2(g) \rightarrow \mathrm{CO}_2(g)+2 \mathrm{H}_2 \mathrm{O}(g) $$ a. How many moles of $\mathrm{CH}_4$ were in the cylinder? b. How many moles of oxygen gas were necessary to react with this amount of $\mathrm{CH}_4$ ? c. How many moles of water were produced in this reaction? d. How many grams of carbon dioxide were produced in this reaction?

Natural gas, $\mathrm{CH}_4$, burns in oxygen as shown in the reaction below. A 1.0 -liter cylinder containing $\mathrm{CH}_4$ with a pressure of 2.1 atmospheres at a temperature of 298 kelvin is completely used to power a portable stove.

$$
\mathrm{CH}_4(g)+2 \mathrm{O}_2(g) \rightarrow \mathrm{CO}_2(g)+2 \mathrm{H}_2 \mathrm{O}(g)
$$

a. How many moles of $\mathrm{CH}_4$ were in the cylinder?
b. How many moles of oxygen gas were necessary to react with this amount of $\mathrm{CH}_4$ ?
c. How many moles of water were produced in this reaction?
d. How many grams of carbon dioxide were produced in this reaction?

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Key Concepts

Ideal Gas Law

The ideal gas law, expressed as PV = nRT, is a fundamental equation that relates pressure, volume, temperature, and the number of moles of a gas. It is used to calculate the number of moles from measured pressure, volume, and temperature, which is essential when determining the quantity of a reactant in a gas reaction.

Stoichiometry

Stoichiometry involves using the balanced chemical equation to determine the quantitative relationships between reactants and products. It allows us to calculate the number of moles of any substance involved in the reaction based on known quantities of another substance.

Mole Concept

The mole is a basic unit in chemistry that represents a specific number of particles, typically atoms or molecules. Understanding the mole concept is key to converting between the microscopic scale of atoms and molecules and macroscopic quantities measured in the laboratory.

Molar Mass

Molar mass is the mass of one mole of a substance, usually expressed in grams per mole. It is critical for converting moles of a substance to grams, which is necessary for quantifying the amount of products or reactants in a chemical reaction.

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