1. Batteries are commercially rated in terms of a unit called the Amphour (Ah).
ID: 1873125 • Letter: 1
Question
1. Batteries are commercially rated in terms of a unit called the Amphour (Ah). It is a unit of electrical charge equal to the charge drawn from the battery if it provides a current of 1.00 A to an external circuit for a period of 1.00 hour. (a) Use the definition above and calculate how many Coulombs are there in 1.00 Ah (b) The Sears Die-hard has a rating of 100.0 Ah. How much energy does this bat- tery contain? Give your answer in Joules. Assume the battery voltage is 12.0 V and it remains constant. onvert the energy obtained above to kWh and find the price of one kWh from the battery (DC) and compare it to the price of one kWh from the wall outlet (AC). The average price of a 100.0 A.h battery is $ 100.0.Explanation / Answer
1. a. from the definition
1 Ah = 1 C/s * 1 hour = 1 C/s * 3600 s = 3600 C
b. given rating, R = 100 Ah
voltage, V = 12 V
hence, energy stored U = RV
U = 100*3600C * 12 V = 4320000 J = 4.32*10^6 J
c. now, 1 Wh = 1 J / 1 s * 3600s = 3600 J
hence
U = 1200 kWh
price of battery = 100 $
hence price on 1 kWh = 0.0833 $
ORICE FOR ONE UNIT FROM THE WALL SOCKET = 0.1 $
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.