Step 1: Basicity and Lanthanoid Contraction: - As we move across the lanthanide series, atomic size decreases due to lanthanoid contraction.
- \( La(OH)_3 \) has a larger ionic radius, making it more basic than \( Lu(OH)_3 \).
Step 2: Explanation: - Larger ionic size in \( La^{3+} \) leads to weaker bond strength in \( La(OH)_3 \), making hydroxide ions (\( OH^- \)) more available.
- \( Lu^{3+} \) has a smaller radius, leading to a stronger attraction between \( Lu^{3+} \) and \( OH^- \), reducing basicity.
Identify A in the following reaction. 
For the reaction, \(N_{2}O_{4} \rightleftharpoons 2NO_{2}\) graph is plotted as shown below. Identify correct statements.
A. Standard free energy change for the reaction is 5.40 kJ \(mol^{-1}\).
B. As \(\Delta G\) in graph is positive, \(N_{2}O_{4}\) will not dissociate into \(NO_{2}\) at all.
C. Reverse reaction will go to completion.
D. When 1 mole of \(N_{2}O_{4}\) changes into equilibrium mixture, value of \(\Delta G = -0.84 \text{ kJ mol}^{-1}\).
E. When 2 mole of \(NO_{2}\) changes into equilibrium mixture, \(\Delta G\) for equilibrium mixture is \(-6.24 \text{ kJ mol}^{-1}\).
Choose the correct answer from the following.
