Assume that gasoline has the formula C8 H18 and has a density of 0.703 g / mL . How many pounds

step 1 Let's calculate how many pounds of CO2 are produced from the complete combustion of one gallon o

Assume that gasoline has the formula C8 H18 and has a...

Assume that gasoline has the formula $\mathrm{C}_{8} \mathrm{H}_{18}$ and has a density of 0.703 $\mathrm{g} / \mathrm{mL}$ . How many pounds of $\mathrm{CO}_{2}$ are produced from the complete combustion of 1.00 gal of gasoline?

Key Concepts

Combustion of Hydrocarbons

The complete combustion of hydrocarbons like gasoline involves reacting the fuel with oxygen to produce carbon dioxide and water. Understanding this reaction is fundamental, as it provides the basis for calculating the amount of CO? formed from a known quantity of fuel. The stoichiometric coefficients derived from the balanced equation link the combustion of one mole of fuel to the production of a specific number of moles of CO?.

Mole Concept and Molar Mass

The mole concept connects the mass of a substance to the number of particles it contains, using the substance's molar mass. Here, calculating the molar mass of CO? is essential to convert between the moles of CO? produced and its corresponding mass. This concept underpins the quantitative analysis of chemical reactions and the yield of products.

Density and Mass-Volume Relationship

Density is a property that links mass and volume, allowing conversion between the two. In this context, the density of gasoline (in g/mL) is used to calculate the mass of a given volume (1 gallon), which is then converted to moles using the molecular formula of gasoline. This conversion is crucial for subsequent stoichiometric calculations.

Balanced Chemical Equation

A balanced chemical equation represents the conservation of mass in a reaction, ensuring that the number of atoms for each element is the same on both the reactant and product sides. For the complete combustion of a hydrocarbon, the balanced equation determines the mole ratios between fuel (gasoline), oxygen, carbon dioxide, and water, which are essential for relating the amount of fuel burned to the amount of CO? produced.

Unit Conversions

Unit conversions involve translating measurements from one system to another (e.g., gallons to milliliters, grams to pounds). Accurate conversion factors are necessary to ensure that all quantities are in compatible units for computation, which in this problem includes converting the volume of gasoline to mass, and the mass of CO? from grams to pounds.

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