Randall D. Knight — Heat Engines and Refrigerators: Problem 49

A car’s internal combustion engine can be modeled as a heat engine operating between a combustion temperature of $1500^{\circ}\text{C}$ and an air temperature of $20^{\circ}\text{C}$ with $30\%$ of the Carnot efficiency. The heat of combustion of gasoline is $47\text{ kJ/g}$. What mass of gasoline is burned to accelerate a $1500\text{ kg}$ car from rest to a speed of $30\text{ m/s}$?