A 12 Volt lead-acid car battery, engineered for "up to 500 or more charge/discharge cycles," has a rating of 225 Ampere-hours. A one Ampere-hour battery can provide one Amp of current for one hour. It sells for $180. a) If initially fully charged, what is the total electrical energy that the battery can deliver before it needs to be recharged? b) The battery has a mass of 23.1 kg. What total mass of such batteries would be required to deliver the same effective mechanical energy as 16 gallons of gasoline? Assume that the efficiency of an electrically powered car is 2.5 times that of a gasoline-powered car for the conversion to mechanical energy, and that energy content of 1 gallon of gas =1.32×108 Joules. You're going to get a big number - this is why electric cars didn't become widespread until after the development of lithium ion batteries, which can achieve much higher energy densities.
A 12 Volt lead-acid car battery, engineered for "up to 500 or more charge/discharge cycles," has a rating of 225 Ampere-hours. A one Ampere-hour battery can provide one Amp of current for one hour. It sells for $180.
a) If initially fully charged, what is the total electrical energy that the battery can deliver before it needs to be recharged?
b) The battery has a mass of 23.1 kg. What total mass of such batteries would be required to deliver the same effective
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
