The energy density of gasoline for an ICE car is 43 MJ/kg. The energy density of battery used to power a similar electric car is 3 MJ/kg. Assume that the energy consumption of either the electric or the gasoline car is 0.3 kWh/km. As it is reported in 2020, the Li-ion battery pack cost is 137 USD/kWh.

a) If the mass of the gasoline in the fuel tank is 50 kg, what is the total distance the car can travel on a full tank of fuel. (Hint: consider the efficiency of the gasoline car) [5 points]

b) If the electric car can travel the same total distance as the gasoline car calculated in (a). Estimate the price of the Li-ion battery pack used in this electric car. [5 points] OPEN BOOK Time: 15 minutes Marks: / 10