Chapter 19.9, Problem 1.3ACP

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.

$\begin{array}{c}{\text{ΔG}}^{\text{0}}{\text{= -nFE}}^{\text{0}}\\ \text{n = Number of moles transferred per mole of reactant and products}\\ \text{F = Faradayconstant=96485C/mol}\\ {\text{ E}}^{\text{0}}\text{= Volts = Work(J)/Charge(C)}\end{array}$

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

$\text{lnK = }\frac{{\text{nE}}^{\text{0}}}{\text{0}\text{.0257}}\text{ at 298K}$

Energy conversions:

• $1gallon=4qt$
• $1kg=1.057qt$
• $1MJ=kJ$

$Density=\frac{mass}{volume}$