Calculate the stability constant of the complex `[Zn(NH_(3))_(4)]^(2+)` formed in the reaction
`Zn^(2+)+4NH_(4)hArr[Zn(NH_(3))_(4)]^(2+)`.
Given that `E_(Zn^(2+)//Zn)^(@)=-0.76V and E_((Zn(NH_(3))_(4)]^(2+))^(@)//Zn,4NH_(3))^(@)=-1.03V`

Explanation

To calculate the stability constant of the complex \([Zn(NH_3)_4]^{2+}\), we will follow these steps:

### Step 1: Write the half-reactions
We have two half-reactions based on the given standard reduction potentials:
1. For the reduction of \(Zn^{2+}\) to \(Zn\):
\[ Zn^{2+} + 2e^- \rightarrow Zn \quad (E^\circ = -0.76 \, V) \]
...