The low-spin compound in this set of compounds is K₄[Fe(CN)₆].
The spectrochemical series is a list of ligands ranked in order of their ability to stabilize low-spin complexes. According to the series, CN⁻ is the strongest low-spin ligand, followed by Cl⁻, CO₃⁻, and oxalate. Therefore, the compound that is most likely to be low-spin is K₄[Fe(CN)₆]. The other compounds on the list are more likely to be high-spin because the ligands they contain are weaker than CN⁻ at stabilizing low-spin complexes.
Since it is near the high-spin end of the spectrochemical series (i.e. it has a high coordination number and a high oxidation state). The other compounds in the set all have lower coordination numbers and/or lower oxidation states, so they are more likely to be high-spin.
In general, the more electrons an atom has in its outer shell, the more likely it is to be low-spin. Therefore, compounds with higher oxidation states and higher coordination numbers are more likely to be low-spin.
Hence, K₄[Fe(CN)₆] has a low spin with a strong field ligand in the spectrochemical series.
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