1. A high performing EV is equipped with a lithium battery pack and a bank of supercapacitor. During acceleration, both battery pack and the supercapacitor provide the required power. The total required energy of the vehicle is provided by the battery supercapacitor combined. The energy of the supercapacitor is 1/25 of the battery pack energy. Vehicle range with battery alone is 350km, with consumption of 200 Wh/km. The battery pack voltage is 350V. A) Design the battery pack from prismatic cells with 3.5V and 20Ah. The prismatic cell dimensions are 20cm x 15cm x 0.5cm. 15-points B) Calculate the energy density of the battery pack, assume the cells are in closed compact arrangement (no gap between the cells). 10-points C) Design a 175V bank supercapacitor, using cylindrical supercapacitors with dimensions of 5cm diameter and 10cm height that operate at 3.5V and 3600F. 20-points D) Calculate the energy density of the bank of supercapacitors with the assumption that cells are packed in two layers with square top (x=y). 20-points E) Calculate the amount of porous Carbon needed to construct the supercapacitor bank. Assume the surface area of the porous carbon as 3000m2/gram. The dielectric permittivity of electrolyte in super capacitor =