A chemicals battery\'s capacity expresses the total amount of charge that it sen

Question

A chemicals battery's capacity expresses the total amount of charge that it sends through a circuit, which is proportional to the total number of molecules of chemical reactants it contains. Thus a larger battery generally has more capacity than a small matter of the same type. A battery's capacity is generally expressed in ampere-hour (Ah), which is numerically equal to the number of hours that the battery could supply in one ampere of current. Express 1 A x h in coulombs, as a number of electrons in a terms moles of electrons Imagine that you are desiging a battery-powered toaster that uses 6 alkaline D-Cells in series. While the toaster is on, it must produce at least 900W of thermal energy. D-cells have a capacity of about 5 A x h. Roughly how long will your batteries run your toaster?

Explanation / Answer

Part 1:
1 ampere hour = 3600 coulombs
As:
1 amp = 1 coulomb per secnd
so, 1 amp hour = 60*60*1 = 3600 coulomb

Part 2:
D-cells have a capacity of about 5 A x h
so, 6 cells = 30 Ah
assuming voltage = 1.45V
30 Amp hour = 30*1.45*3600 = 156600 watt seconds

so the toaster will go:
156600 watt seconds / 900W = 174 seconds.

The battery will run the toaster for 174 seconds

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