Solution Found!
Answer: The capacity of a storage battery, such as those
Chapter 25, Problem 47E(choose chapter or problem)
Problem 47E
The capacity of a storage battery, such as those used in automobile electrical systems, is rated in ampere-hours (A ⋅ h). A 50-A ⋅ h battery can supply a current of 50 A for 1.0 h, or 25 A for 2.0 h, and so on. (a) What total energy can be supplied by a 12-V, 60-A ⋅ h battery if its internal resistance is negligible? (b) What volume (in liters) of gasoline has a total heat of combustion equal to the energy obtained in part (a)? (See Section 17.6; the density of gasoline is 900 kg/m3.) (c) If a generator with an average electrical power output of 0.45 kW is connected to the battery, how much time will be required for it to charge the battery fully?
Questions & Answers
QUESTION:
Problem 47E
The capacity of a storage battery, such as those used in automobile electrical systems, is rated in ampere-hours (A ⋅ h). A 50-A ⋅ h battery can supply a current of 50 A for 1.0 h, or 25 A for 2.0 h, and so on. (a) What total energy can be supplied by a 12-V, 60-A ⋅ h battery if its internal resistance is negligible? (b) What volume (in liters) of gasoline has a total heat of combustion equal to the energy obtained in part (a)? (See Section 17.6; the density of gasoline is 900 kg/m3.) (c) If a generator with an average electrical power output of 0.45 kW is connected to the battery, how much time will be required for it to charge the battery fully?
ANSWER:
Solution 47E
Step 1 of 5:
We need to find the energy in 12V battery, volume of gasoline and the time required to charge the battery completely.