   Chapter 19.9, Problem 1.3ACP

Chapter
Section
Textbook Problem

What mass of lithium ion batteries would produce the same amount of energy as the combustion of 15 gallons of gasoline?

Interpretation Introduction

Interpretation:

The mass of lithium ion batteries which produce the same amount of energy as the combustion of 15gallons of gasoline has to be determined.

Concept introduction:

In voltaic cell, the maximum cell potential is directly related to the free energy difference between the reactants and products in the cell.

ΔG0= -nFE0n = Number of moles transferred per mole of reactant and productsF = Faradayconstant=96485C/mol  E0= Volts = Work(J)/Charge(C)

The relation between standard cell potential and equilibrium constant is as follows.

lnK = nE00.0257 at 298K

Energy conversions:

• 1gallon=4qt
• 1kg=1.057qt
• 1MJ=kJ

Density=massvolume

Explanation

Energy contained in 15gallons of gasoline can be calculated as below:

=(15gallon)(4qt/1gallon)(1L/1.057qt)(0.70kg/L)(46MJkg×1000kJ1MJ)=60qt×0.662kg/qt(46MJkg×1000kJ1MJ)=1.83×106kJ

The energy contained in 15gallons of gasoline is calculated to be 1

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