A gasoline engine absorbs 20990 J heat and

performs 4166 J mechanical work in each cycle.
Find the amount of heat expelled in each
cycle.
Answer in units of J

To find the amount of heat expelled in each cycle, you need to apply the principle of energy conservation. In a gasoline engine, the heat absorbed by the engine in each cycle is equal to the sum of the mechanical work performed by the engine and the heat expelled.

Mathematically, this can be expressed as:

Heat Absorbed = Mechanical Work + Heat Expelled

Given that the engine absorbs 20990 J of heat and performs 4166 J of mechanical work in each cycle, we can rearrange the equation to solve for the heat expelled:

Heat Expelled = Heat Absorbed - Mechanical Work

Substituting the given values:

Heat Expelled = 20990 J - 4166 J
Heat Expelled = 16824 J

Therefore, the amount of heat expelled in each cycle is 16824 J.