Answer:
(a) \[Zn(s)\xrightarrow{\,}\,Z{{n}^{2+}}(aq)+2{{e}^{-}}]\times
3\] (Oxidation half reaction)
\[C{{r}^{3+}}(aq)+3{{e}^{-}}\xrightarrow{\,}Cr(s)]\,\times
2\] (Reduction half reaction)
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\[3Zn(s)+2C{{r}^{3+}}(aq)\xrightarrow{\,}\,3Z{{n}^{2+}}(aq)+2Cr(s)\]
(b) \[Pb(s)+HS{{O}^{-}}_{4}(aq)+{{H}_{2}}O\xrightarrow{\,}PbS{{O}_{4}}(s)+{{H}_{3}}{{O}^{+}}(aq)\] (Oxidation
half reaction)
\[Pb{{O}_{2}}(s)+3{{H}_{3}}{{O}^{+}}(aq)+2HSO_{4}^{-}\,+2{{e}^{-}}\xrightarrow{\,}PbS{{O}_{4}}(s)+3{{H}_{2}}O+2{{e}^{-}}\] (Reduction
half reaction)
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\[Pb(s)+3HSO_{4}^{-}(aq)+Pb{{O}_{2}}(s)+2{{H}_{3}}{{O}^{+}}(aq)\]\[\xrightarrow{\,}\,2PbS{{O}_{4}}(s)+4{{H}_{2}}O\].
(c) \[Mg(s)\xrightarrow{{}}\,M{{g}^{2+}}(aq)+2{{e}^{-}}\] (Oxidation
half reaction)
\[S{{n}^{2+}}(aq)+2{{e}^{-}}\xrightarrow{\,}\,Sn(s)\] (Reduction
half reaction)
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\[Mg(s)+S{{n}^{2+}}(aq)\xrightarrow{\,}\,M{{g}^{2+}}(aq)+Sn(s)\]
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