Step-by-step explanation:
The given chemical equation is:
Fe(CN)63-(aq) + Re(s)-> Fe(CN)64-(aq) + ReO4-(aq)
Consider oxidation half reaction and balance it first in acidic conditions:
![Re(s)->ReO_4^-(aq)](https://img.qammunity.org/2022/formulas/chemistry/college/yih97pa0t9cl5snpkjocejrrwqebt6wkr8.png)
Add water on the left side to balance the O-atoms:
![Re(s)+4H_2O->ReO_4^-(aq)\\](https://img.qammunity.org/2022/formulas/chemistry/college/ew5ojtnsqt5psql47btubxeosrpvu2rs9b.png)
Add protons on the right side to balance H-atoms:
![Re(s)+4H_2O->ReO_4^-(aq)+8H^+](https://img.qammunity.org/2022/formulas/chemistry/college/sxb0s9p4bbhe1wdno690819m917ahexun6.png)
To balance the charge add electrons:
------------(1)
Reduction half reaction:
Fe(CN)63-(aq) -> Fe(CN)64-(aq)
Add electrons to balance the charge:
---------------(2)
Multiply equation(2) with seven :
------(3)
Add (1) and (3)
![7 Fe(CN)_6^3^-(aq) +Re(s)+4H_2O -> 7Fe(CN)_6^4^-(aq)+ReO_4^-(aq)+8H^+](https://img.qammunity.org/2022/formulas/chemistry/college/eqmpm75w25nxf5d6mwewvg490s37kn31vx.png)
Add 8OH- on both sides:
![7 Fe(CN)_6^3^-(aq) +Re(s)+4H_2O+8OH^- -> 7Fe(CN)_6^4^-(aq)+ReO_4^-(aq)+8H_2O](https://img.qammunity.org/2022/formulas/chemistry/college/t7um2uhthhqbmo030ve3edzyoibxz85xdh.png)
It becomes:
![7 Fe(CN)_6^3^-(aq) +Re(s)+8OH^- -> 7Fe(CN)_6^4^-(aq)+ReO_4^-(aq)+4H_2O](https://img.qammunity.org/2022/formulas/chemistry/college/okdwjk5lr8yskuvjjd2ewpwby54etxr4wj.png)
This is the final equation in the basic medium.
Re(s) is oxidised. So it is the reducing agent.
Fe(CN)63- is reduced.It is the oxidising agent.