A gallon of regular gasoline (density of 737 kg / m^3 ) contains about 131 MJ of chemical energ

step 1 As we all know that density is equal to mass by volume and we also know that E is equal to M c s

A gallon of regular gasoline (density of 737 kg / m^3 )...

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Key Concepts

Energy Scale Comparison

This concept involves comparing different forms of energy, such as chemical energy and mass energy. While chemical reactions typically release energy on the order of megajoules, the conversion of mass to energy (as per E = mc²) results in energies that are many orders of magnitude larger. This comparison underscores the substantial difference between the energy scales involved in typical chemical processes and those predicted by mass–energy equivalence.

Mass-Energy Equivalence

This concept, based on Einstein's famous equation E = mc², relates mass to energy. It implies that any mass has an inherent energy content, which is extremely large compared to energies released in conventional chemical processes. Calculating the rest mass energy involves determining the mass and then applying this relation to obtain the total energy contained in the mass.

Density and Volume Conversions

Understanding density and volume is crucial when calculating the mass of a substance from its known density and volume. In problems like these, the density allows one to convert a volume (such as a gallon) into mass, which can then be used in further energy calculations using relations like E = mc².

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