Final answer:
The maximum absorption wavelength and color for the complex ion [Ti(H₂O)₆]³⁺ can be calculated using the crystal field splitting energy. The maximum absorbance occurs at 499 nm, which corresponds to the color violet-blue.
Step-by-step explanation:
The maximum absorption wavelength for the complex ion [Ti(H₂O)₆]³⁺ can be calculated using the formula λ = hc/ΔE. Here, λ is the wavelength, h is Planck's constant, c is the speed of light, and ΔE is the crystal field splitting energy. In this case, the crystal field splitting energy is given as 240 kJ/mol, which can be converted to joules and used in the formula to calculate λ. The maximum absorbance occurs at 499 nm, which corresponds to the color violet-blue.