Cetane, C16 H34 is a typical petrodiesel with a standard...

Cetane, $\mathrm{C}_{16} \mathrm{H}_{34}$ is a typical petrodiesel with a standard enthalpy of combustion of $-10,699.1 \mathrm{kJmol}^{-1}$. Methyl linoleate, $\mathrm{C}_{19} \mathrm{H}_{34} \mathrm{O}_{2},$ is a biodiesel with a standard enthalpy of combustion of $-11,690.1 \mathrm{kJmol}^{-1} .$ What volume of methyl linoleate provides the same energy as one liter of cetane? The densities of cetane and methyl linoleate are 0.773 and $0.885 \mathrm{g} \mathrm{mL}^{-1}$, respectively.

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Key Concepts

Standard Enthalpy of Combustion

This is a measure of the energy released when a substance undergoes complete combustion with oxygen under standard conditions. It is expressed in kilojoules per mole and helps compare the energy content of different fuels by indicating how much energy is produced per mole of fuel burned.

Density and Mass-Volume Relationship

Density is the mass per unit volume of a substance. It is a crucial property used to convert between volume and mass, which is necessary when determining energy content per liter or per unit mass in fuels.

Energy Density

Energy density refers to the amount of energy stored in a given system or fuel per unit volume or mass. By combining the standard enthalpy of combustion with the density of a fuel, one can determine the energy available in a specific volume of the fuel.

Stoichiometric Energy Equivalence

This concept involves setting up proportional calculations to equate the energy produced from different fuels. By converting volumes to masses (using density), masses to moles (using molecular weight), and then multiplying by the standard enthalpy of combustion, one can find how much of one fuel is needed to match the energy produced by a given volume of another fuel.

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