Answer : The only reaction (C) that shows that the same reactant undergoes both oxidation and reduction.
Explanation :
Disproportionation reaction : It is defined as the reaction in which the same reactant undergoes both oxidation and reduction reaction. It is a redox reaction.
Redox reaction or Oxidation-reduction reaction : It is defined as the reaction in which the oxidation and reduction reaction takes place simultaneously.
Oxidation reaction : It is defined as the reaction in which a substance looses its electrons. In this, oxidation state of an element increases. Or we can say that in oxidation, the loss of electrons takes place.
Reduction reaction : It is defined as the reaction in which a substance gains electrons. In this, oxidation state of an element decreases. Or we can say that in reduction, the gain of electrons takes place.
(A) The given balanced reaction is,
![H_2SeO_4(aq)+2Cl^-(aq)+2H^+(aq)\rightarrow H_2SeO_3(aq)+Cl_2(g)+H_2O(l)](https://tex.z-dn.net/?f=H_2SeO_4%28aq%29%2B2Cl%5E-%28aq%29%2B2H%5E%2B%28aq%29%5Crightarrow%20H_2SeO_3%28aq%29%2BCl_2%28g%29%2BH_2O%28l%29)
This reaction is a redox reaction but not disproportionation reaction because in this reaction there are two reactants in which chlorine shows oxidation and selenium shows reduction.
(B) The given balanced reaction is,
![S_8(s)+8O_2(g)\rightarrow 8SO_2(g)](https://tex.z-dn.net/?f=S_8%28s%29%2B8O_2%28g%29%5Crightarrow%208SO_2%28g%29)
This reaction is a redox reaction but not disproportionation reaction because in this reaction there are two reactants in which sulfur shows oxidation and oxygen shows reduction.
(C) The given balanced reaction is,
![3Br_2(aq)+6OH^-(aq)\rightarrow 5Br^-(aq)+BrO_3^-(aq)+3H_2O(l)](https://tex.z-dn.net/?f=3Br_2%28aq%29%2B6OH%5E-%28aq%29%5Crightarrow%205Br%5E-%28aq%29%2BBrO_3%5E-%28aq%29%2B3H_2O%28l%29)
This reaction is a disproportionation reaction because in this reaction only one reactant bromine that shows both oxidation and reduction reaction.
(D) The given balanced reaction is,
![Ca^{2+}(aq)+SO_4^{2-}(aq)\rightarrow CaSO_4(s)](https://tex.z-dn.net/?f=Ca%5E%7B2%2B%7D%28aq%29%2BSO_4%5E%7B2-%7D%28aq%29%5Crightarrow%20CaSO_4%28s%29)
This reaction is a combination reaction in which the two reactant react to give a single product. There is no changes in the oxidation state of calcium and sulfate.
(E) The given balanced reaction is,
![PtCl_4(s)+2Cl^-(aq)\rightarrow PtCl_6^{2-}(aq)](https://tex.z-dn.net/?f=PtCl_4%28s%29%2B2Cl%5E-%28aq%29%5Crightarrow%20PtCl_6%5E%7B2-%7D%28aq%29)
This reaction is a combination reaction in which the two reactant react to give a single product. There is no changes in the oxidation state of platinum and chlorine.
Hence, the only reaction (C) that shows that the same reactant undergoes both oxidation and reduction.