To determine the correctness of the statements provided regarding the ligands \(N(CH_3)_3\) (trimethylamine) and \(P(CH_3)_3\) (trimethylphosphine), let's evaluate each statement individually:
Based on the analysis, the most appropriate answer is: Statement I is correct but Statement II is incorrect.
To correctly analyze the given statements and determine their accuracy, let's understand the basis of each statement:
This statement is about the ability of trimethylamine (\(N(CH_3)_3\)) and trimethylphosphine (\(P(CH_3)_3\)) to act as ligands. Both compounds contain a lone pair that can be donated to a metal center, which is a key characteristic of ligands. Therefore, both can indeed form coordination complexes with transition metals. This makes Statement I correct.
Although nitrogen and phosphorus belong to the same group (Group 15) in the periodic table, they differ significantly in their chemical behavior as ligands:
Because the coordination behavior of nitrogen and phosphorus compounds can differ, the statement that the nature of bonding is "always the same" is incorrect.
Thus, the correct analysis is: Statement I is correct but Statement II is incorrect.
Match List - I with List - II:
List - I:
(A) \([ \text{MnBr}_4]^{2-}\)
(B) \([ \text{FeF}_6]^{3-}\)
(C) \([ \text{Co(C}_2\text{O}_4)_3]^{3-}\)
(D) \([ \text{Ni(CO)}_4]\)
List - II:
(I) d²sp³ diamagnetic
(II) sp²d² paramagnetic
(III) sp³ diamagnetic
(IV) sp³ paramagnetic
Consider the sound wave travelling in ideal gases of $\mathrm{He}, \mathrm{CH}_{4}$, and $\mathrm{CO}_{2}$. All the gases have the same ratio $\frac{\mathrm{P}}{\rho}$, where P is the pressure and $\rho$ is the density. The ratio of the speed of sound through the gases $\mathrm{v}_{\mathrm{He}}: \mathrm{v}_{\mathrm{CH}_{4}}: \mathrm{v}_{\mathrm{CO}_{2}}$ is given by