The combustion of 1 L of gasoline releases about 3.4 ×10^7 J of energy. In one car's engine, a

step 1 Solving party of this problem. So here work done off by the engine can be calculated as change i

The combustion of 1 L of gasoline releases about 3.4 ×10^7...

The combustion of $1 \mathrm{~L}$ of gasoline releases about $3.4 \times 10^{7} \mathrm{~J}$ of energy. In one car's engine, about $80 \%$ of that energy is lost as heat. (a) How much work is done by the engine for each liter of gasoline burned? (b) If the car requires $4.5 \times 10^{5} \mathrm{~J}$ of work to travel $1 \mathrm{~km},$ find the fuel efficiency in $\mathrm{km} / \mathrm{L}$.

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Key Concepts

Fuel Efficiency

Fuel efficiency is the measure of how effectively a vehicle converts fuel into distance traveled. It is expressed as a ratio (for example, kilometers per liter) and is calculated by relating the work done or energy used for a particular distance to the energy available from the fuel.

Combustion Energy

This concept refers to the energy released by the chemical reaction of burning a fuel. It involves understanding how chemical potential energy stored in gasoline is converted into thermal energy through combustion, which is typically measured in joules or calories.

Thermal Efficiency

Thermal efficiency is a measure of how well an engine converts the energy contained in fuel into useful work. It is expressed as a percentage and represents the fraction of the total energy that is not lost as waste heat during the conversion process.

Work Output Calculation

Work output calculation involves determining the amount of energy that is converted into mechanical work by the engine. This calculation typically takes into account the initial energy input from the fuel combustion and subtracts losses due to inefficiencies such as heat loss.

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