A solution was made up by `0.01M Co(NO_(3))_(2)` and `.02 M N_(2)H_(4)` and was found to have at equilibrium `[Co^(2+)] = 0.0062M`. Calculate `K_(1)` for the complex formation of `Co(N_(2)H_(4))^(2+)`.

Explanation

To calculate the equilibrium constant \( K_1 \) for the complex formation of \( Co(N_2H_4)^{2+} \) from \( Co^{2+} \) and \( N_2H_4 \), we can follow these steps:

### Step 1: Write the Reaction
The formation of the complex can be represented by the following equilibrium reaction:
\[ Co^{2+} + N_2H_4 \rightleftharpoons Co(N_2H_4)^{2+} \]

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