Chapter 19.9, Problem 1.3ACP

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
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 15â€‰gallons of gasoline can be calculated as below:

=(15â€‰gallon)(4â€‰qt/1â€‰gallon)(1L/1.057â€‰qt)(0.70â€‰kg/L)(46â€‰MJkgÃ—1000â€‰kJ1â€‰MJ)=60â€‰qtâ€‰Ã—0.662â€‰kg/qtâ€‰(46â€‰MJkgÃ—1000â€‰kJ1â€‰MJ)=â€‰1.83â€‰Ã—â€‰106â€‰kJ

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

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