The strength of a base is determined by the availability of the lone pair of electrons on the anion, which can accept a proton. Stronger bases have a higher tendency to donate electrons and accept protons.
- \( \text{CH}_3\text{O}^- \) (methoxide ion) is a strong base because the negative charge is on a small, highly electronegative oxygen atom with no stabilizing groups attached.
- \( \text{CH}_3\text{COO}^- \) (acetate ion) is weaker than \( \text{CH}_3\text{O}^- \) because the negative charge is delocalized between the two oxygen atoms, stabilizing the ion and reducing its basicity.
- \( \text{Cl}^- \) (chloride ion) is a very weak base because the negative charge is highly stabilized by the electronegativity of chlorine, making it unlikely to accept a proton.
- \( \text{OH}^- \) (hydroxide ion) is a strong base, but it is weaker than \( \text{CH}_3\text{O}^- \) because oxygen is less electron-rich in hydroxide compared to methoxide.
Thus, the strongest base among the given options is \( \text{CH}_3\text{O}^- \), which corresponds to option (A).
(b.)Calculate the potential for half-cell containing 0.01 M K\(_2\)Cr\(_2\)O\(_7\)(aq), 0.01 M Cr\(^{3+}\)(aq), and 1.0 x 10\(^{-4}\) M H\(^+\)(aq).