Step 1: Blue vitriol is better represented as \([Cu(H_2O)_4]SO_4 \cdot H_2O\).
Step 2: The secondary valency is the coordination number of the central metal. Here, 4 water molecules are directly coordinated to the \(Cu^{2+}\) ion. So, secondary valency = 4.
Step 3: The 5th water molecule is held by hydrogen bonds between the sulfate ion and the coordinated water molecules. Thus, 1 water molecule is hydrogen bonded.