Give balanced chemical equations for the following conversions A, B and C :
`Fe overset(A)to FeCl_(3) overset(B)to FeCO_(3) overset(C)toFe(NO_(3))_(2)`

Explanation

`underset("Dry (A)")(2Fe)+ underset("Chlorine gas")(3Cl_(2)) to underset("Iron (III) Chloride")(2FeCl_(3))`
`2FeCl_(3)+ underset("Sodium carbonate solution(B)")(3NaCO_(3)) to Fe_(2)(CO_(3))_(3)+6NaCl`
`FeCO_(3) + underset("Nitric acid(C)")(2HNO_(3)) to Fe(NO_(3))_(2) +H_(2)O+CO_(2)`