The following criteria define an ideal solution:
1. It adheres to Raoult's law across all compositions.
2. Mixing results in no heat alteration (\( \Delta H = 0 \)).
3. Mixing results in no volume alteration (\( \Delta V = 0 \)).
Statement (3), which posits \( \Delta H = \Delta V eq 0 \), is erroneous. For a solution to be considered ideal, both \( \Delta H \) and \( \Delta V \) must be zero.
Final Answer:\[\boxed{\Delta H = \Delta V eq 0}\]