Answer : The redox reactions are:
![Ca(s)+Cl_2(g)\rightarrow CaCl_2(s)](https://tex.z-dn.net/?f=Ca%28s%29%2BCl_2%28g%29%5Crightarrow%20CaCl_2%28s%29)
![Zn(s)+Fe^{2+}(aq)\rightarrow Zn^{2+}(aq)+Fe(s)](https://tex.z-dn.net/?f=Zn%28s%29%2BFe%5E%7B2%2B%7D%28aq%29%5Crightarrow%20Zn%5E%7B2%2B%7D%28aq%29%2BFe%28s%29)
Explanation :
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.
(1) ![Ca(s)+Cl_2(g)\rightarrow CaCl_2(s)](https://tex.z-dn.net/?f=Ca%28s%29%2BCl_2%28g%29%5Crightarrow%20CaCl_2%28s%29)
This reaction is a redox reaction.
In this reaction, the oxidation state of 'Ca' changes from (0) to (+2) that means 'Ca' lost 2 electrons and it shows oxidation reaction and the oxidation state of 'Cl' changes from (0) to (-1) that means 'Cl' gain 1 electron and it shows reduction reaction.
(2) ![HCl(aq)+NaOH(aq)\rightarrow H_2O(l)+NaCl(aq)](https://tex.z-dn.net/?f=HCl%28aq%29%2BNaOH%28aq%29%5Crightarrow%20H_2O%28l%29%2BNaCl%28aq%29)
This reaction is a double-displacement reaction in which the cation of two reactants molecule exchange their places to give two different products.
In double-displacement reaction, the oxidation state of cation and anion remains same on both side of the reaction. So, it is not a redox reaction.
(3) ![Zn(s)+Fe^{2+}(aq)\rightarrow Zn^{2+}(aq)+Fe(s)](https://tex.z-dn.net/?f=Zn%28s%29%2BFe%5E%7B2%2B%7D%28aq%29%5Crightarrow%20Zn%5E%7B2%2B%7D%28aq%29%2BFe%28s%29)
This reaction is a redox reaction.
In this reaction, the oxidation state of 'Zn' changes from (0) to (+2) that means 'Zn' lost 2 electrons and it shows oxidation reaction and the oxidation state of 'Fe' changes from (+2) to (0) that means 'Fe' gain 2 electron and it shows reduction reaction.
(4) ![Ba(NO_3)_2(aq)+K_2SO_4(aq)\rightarrow BaSO_4(s)+2KNO_3(aq)](https://tex.z-dn.net/?f=Ba%28NO_3%29_2%28aq%29%2BK_2SO_4%28aq%29%5Crightarrow%20BaSO_4%28s%29%2B2KNO_3%28aq%29)
This reaction is a double-displacement reaction in which the cation of two reactants molecule exchange their places to give two different products.
In double-displacement reaction, the oxidation state of cation and anion remains same on both side of the reaction. So, it is not a redox reaction.