An octahedral complex of cobalt(III) has the empirical formula CoCl ₃ 4 NH ₃ and behaves as a 1:1 electrolyte in aqueous solution. This complex exists in two geometrical isomeric forms, X and Y. Isomer X has a non-zero dipole moment, while isomer Y has a zero dipole moment. Let m be the number of NH ₃ ligands that are trans ( 180^ ) to another NH ₃ ligand in isomer X, and n be the number of NH ₃ ligands that are tran

Step-by-step solution

The complex behaves as a 1:1 electrolyte, which means it yields two ions in solution. This confirms its structural formula is [ Co ( NH ₃)₄ Cl ₂] Cl . This [ MA ₄ B ₂] type complex exhibits two geometrical isomers: cis and trans. Isomer X has a non-zero dipole moment, so it is the cis isomer. In the cis isomer, the two Cl ^- ligands are adjacent ( 90^ to each other). Consequently, two of the NH ₃ ligands are trans to the two Cl ^- ligands, and the remaining two NH ₃ ligands are trans to each other. Therefore, exact