Question

Alkaline batteries have the advantage of putting out constant voltage until very nearly the end of their life. How long will an alkaline battery rated at 1.00 A⋅h and 1.58 V keep a 1.00-W flashlight bulb burning?

a. 1.58 hours
b. 0.63 hours
c. 1.00 hours
d. 0.40 hours

Answer 1

To calculate how long an alkaline battery rated at 1.00 A⋅h and 1.58 V will keep a 1.00-W flashlight bulb burning, we can use the formula Time = Charge / Power. The battery's capacity is 1.00 A⋅h, which is equal to 3600 Coulombs. Using the formula, we find that the battery will keep the flashlight bulb burning for 1 hour.

Step-by-step explanation:

To calculate how long an alkaline battery rated at 1.00 A⋅h and 1.58 V will keep a 1.00-W flashlight bulb burning, we need to use the formula:

Time = Charge / Power

First, we need to convert the battery's capacity from Ampere hours (A⋅h) to Coulombs (C). One Ampere hour is equal to 3600 Coulombs, so the battery's capacity in Coulombs is 1.00 A⋅h x 3600 C/A⋅h = 3600 C.

Now, we can calculate the time using the formula:

Time = 3600 C / 1.00 W = 3600 seconds = 1 hour

Therefore, the correct answer is c. 1.00 hours.