Potential Energy in Fuels: How Does a Fully Charged Battery Measure Up?

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SUMMARY

A fully charged 15.0 kg lead-acid battery delivers 1450 W of power for 1 hour, equating to a total energy output of 5,220,000 J or 5.22 MJ. When comparing this to gasoline, which has a heat of combustion of approximately 44 MJ/kg, the energy density of the lead-acid battery is calculated to be significantly lower. The energy per kilogram for the battery is approximately 348 kJ/kg. This analysis highlights the efficiency and energy output differences between lead-acid batteries and gasoline as fuel sources.

PREREQUISITES
  • Understanding of basic physics concepts, specifically energy and power calculations.
  • Familiarity with unit conversions, particularly between watts, joules, and megajoules.
  • Knowledge of the properties of lead-acid batteries and their applications.
  • Basic understanding of combustion energy in fuels, particularly gasoline.
NEXT STEPS
  • Research the energy density of various battery types, including lithium-ion and nickel-metal hydride.
  • Learn about the efficiency of energy conversion in lead-acid batteries compared to other battery technologies.
  • Investigate the environmental impact of lead-acid batteries versus fossil fuels like gasoline.
  • Explore advancements in battery technology that aim to improve energy density and efficiency.
USEFUL FOR

Students studying physics, engineers working with energy systems, and anyone interested in comparing battery technologies to traditional fuels like gasoline.

aaronb
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Homework Statement


A fully charged 15.0 kg lead-acid battery can deliver power 1450 W for 1.0 hr. (For comparison, the "heat of combustion" of gasoline is about 44 MJ/kg.)

Battery _____ MJ/kg

Homework Equations


Unit conversion problem
1W = 1 J/s

The Attempt at a Solution


(1450 J/s / 15kg) = 96.7/10^6 = 9.6 *10^-5
 
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How many Joules is 1450W times 1 hour ?
 

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