The stability of complexes is often related to the value of \( \Delta \), which is the energy difference between the d-orbitals in the ligand field. Higher \( \Delta \) values typically correspond to more stable complexes.
Based on the \( \Delta \) values:
- \( [{Fe(CN)}_6]^{3-} \) has the highest \( \Delta \) value due to the strong field ligand \( {CN}^- \), making it the most stable complex.
- \( [{Co(CN)}_6]^{3-} \) is slightly less stable compared to \( [{Fe(CN)}_6]^{3-} \).
- \( [{Mn(CN)}_6]^{3-} \) has the lowest \( \Delta \) value and is the least stable among these complexes. Thus, the correct increasing order of stability is \( {III}<{II}<{IV}<{I} \).
For the thermal decomposition of \( N_2O_5(g) \) at constant volume, the following table can be formed, for the reaction mentioned below: \[ 2 N_2O_5(g) \rightarrow 2 N_2O_4(g) + O_2(g) \] Given: Rate constant for the reaction is \( 4.606 \times 10^{-2} \text{ s}^{-1} \).
A hydrocarbon which does not belong to the same homologous series of carbon compounds is
If \[ f(x) = \int \frac{1}{x^{1/4} (1 + x^{1/4})} \, dx, \quad f(0) = -6 \], then f(1) is equal to: