Step 1: Calculating moles of Cl\(_2\) produced.
Using Faraday's law and the molar volume of gas at STP, the volume of \( \text{Cl}_2 \) gas produced can be calculated by considering the number of moles of electrons involved.
Step 2: Conclusion.
The volume of Cl\(_2\) gas produced is 30.0L, corresponding to option (1).