Question
Out of $Lu(OH)_3$ and La(OH)_3$ which is more basic and why? 

Answer

1. As we move from $Ce ^{3+}$ to $Lu ^{3+}$, the basic character of $Lu ^{3+}$ ions decreases.
2. Due to the decrease in the size of $Lu ^{3+}$ ions, the ionic character of the $Lu - OH$ bond decreases, covalent character increases which results in the decrease in the basicity.
3. Hence, $La ( OH )_3$ is more basic than $Lu ( OH )_3$.

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