Today\'s electric vehicles get about 4.7 miles per kWh. If my round trip commute

Question

Today's electric vehicles get about 4.7 miles per kWh. If my round trip commute is 34 miles, how may m2 of solar panels do I need to provide that energy in 3.0 hours time? Assume the panels are exposed to the sun near noon, and have an efficiency of 10% (solar irradiation is 1.3 kW/m2 ).

Today's electric vehicles get about 4.7 miles per kWh. If my round trip commute is 34 miles, how may m2 of solar panels do I need to provide that energy in 3.0 hours time? Assume the panels are exposed to the sun near noon, and have an efficiency of 10% (solar irradiation is 1.3 kW/m2 ).

Explanation / Answer

given,

vehicle travels for  4.7 miles per kWh

for travelling 34 miles it will need 34 / 4.7 kWh

for travelling 34 miles it will need 7.234 kWh of energy

solar panel produce power at thr rate of 0.13 kW/m^2

in 3 hours it'll produce = 0.13 * 3 kWh / m^2

energy per unit area produced in 3 hours = 0.39 kWh/m^2

area needed to produce 7.234 kWh of energy = 7.234 / 0.39

solar panel of area 18.548 m^2 is needed

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