Here's how to figure out the number of electron clouds in a gold atom:

* Electron Configuration: The electron configuration of gold is: [Xe] 4f¹⁴ 5d¹⁰ 6s¹.

* Principal Quantum Numbers: The principal quantum numbers (n) represent the energy levels or electron shells. The highest principal quantum number in gold's electron configuration is 6.

* Electron Clouds: Each principal quantum number corresponds to a different electron cloud.

Therefore, there are 6 electron clouds in a gold atom.