A car battery is rated to be able to move 600 ampere-hours (Ah) of charge at 12.0
Question:
A car battery is rated to be able to move 600 ampere-hours (A·h) of charge at 12.0 V.
(a) Calculate the increase in rest mass of such a battery when it is taken from being fully depleted to being fully charged.
(b) What percent increase is this, given the battery's mass is 20.0 kg?
Strategy
In part (a), we first must find the energy stored in the battery, which equals what the battery can supply in the form of electrical potential energy. Since PEelec = qV, we have to calculate the charge q in 600 A·h, which is the product of the current I and the time t. We then multiply the result by 12.0 V. We can then calculate the battery's increase in mass using ΔE = PEelec =(Δm)c2. Part (b) is a simple ratio converted to a percentage.
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Step by Step Answer:
a 1 Identify the knowns It 600 A h V 120 V c 300 x 10 8 ms 2 Identify the unknown m 3 Choose the app...View the full answer
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