Problem: Which of the value of Q is most reasonable as you throw your dead alkaline battery into the recycling bin?1) 10402) 13) 10-404) 405) -40

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.

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

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) + H₂O_(l) + 2 e⁻

2 MnO_2(s) + H₂O_(l) + 2 e⁻ → Mn₂O_3(s) + 2 OH⁻_(aq)

Overall reaction: