The formula P=E/T can be used in a number of ways considering Energy and Time. I
ID: 479920 • Letter: T
Question
The formula P=E/T can be used in a number of ways considering Energy and Time. It takes four minutes (about 240 seconds) to fill up your 17.4 gallon tank. How much virtual power flows through your h a nds as the tank fills up? Assume that the energy in a gallon of gasoliine is 0.13 Gj/gal.
It takes 30 minutes to charge a Tesla electric car at a TEsla supercharger station. Assuming the battery fills up 85KWh of energy, what is the power that flows through the charging cable (assume no losses in transmission). How does the compare to the gas tank fill up?
It takes 90 seconds to switch out the battery of a Tesla. Thinking of energy and time, what is the virtual power transferred in the time it takes to switch the battery?
Explanation / Answer
Total energy from gasoline = 0.13 Gj/gal x 17.4 gal == 2.262 Gj
virtual power flows through your hands = 2.262 Gj / 240 s = 0.00943 GW
Battery:
1 kWh = 3.6 x 106 J
Total energy = 85 x 3.6 x 106 J == 306 x 106 J
Total power == 306 x 106 J / (30x60) == 1.7x 105 W
It is less than petrol engine power
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