   # What mass of lithium ion batteries would produce the same amount of energy as the combustion of 15 gallons of gasoline? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 19.4, Problem 3Q
Textbook Problem
1 views

## 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 of Solution

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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