We are asked to calculate for the most reasonable value of Q as you throw your dead alkaline battery into the recycling bin.

Recall that the** Nernst Equation** relates the concentrations of compounds and cell potential.

$\overline{){{\mathbf{E}}}_{{\mathbf{cell}}}{\mathbf{=}}{\mathbf{E}}{{\mathbf{\xb0}}}_{{\mathbf{cell}}}{\mathbf{-}}\mathbf{\left(}\frac{\mathbf{0}\mathbf{.}\mathbf{05916}\mathbf{}\mathbf{V}}{\mathbf{n}}\mathbf{\right)}{\mathbf{}}{\mathbf{log}}{\mathbf{}}{\mathbf{Q}}}$

E_{cell} = cell potential under non-standard conditions

E°_{cell} = standard cell potential

n = mole e^{-} transferred

Q = reaction quotient = products/reactants

The half-reactions in an alkaline battery are:

Zn(s) + 2 OH^{−}_{(aq)} → ZnO_{(s)} + H_{2}O_{(l)} + 2 e^{−}

2 MnO_{2(s)} + H_{2}O_{(l)} + 2 e^{−} → Mn_{2}O_{3(s)} + 2 OH^{−}_{(aq)}

Overall reaction:

Which of the value of Q is most reasonable as you throw your dead alkaline battery into the recycling bin?

1) 10^{40}

2) 1

3) 10^{-40}

4) 40

5) -40

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