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← JEE Advanced 2026 · Paper 2
ChemistryNumerical+4Question 49 of 54

JEE Advanced 2026 · Paper 2, Chemistry question 13

Consider that the coordinating atoms of the ligands in cis-[Co(NHX3)X4ClX2]Cl\ce{[Co(NH3)4Cl2]Cl} and mer-[Co(NHX3)X3ClX3]\ce{[Co(NH3)3Cl3]} octahedral complexes are at the vertices of an octahedron. The sum of total number of the triangular faces in both the complexes having one N atom and two Cl atoms at their corners is ____.

Answer and worked solution

Official answer: 6

Put ligands at ±x,±y,±z\pm x,\pm y,\pm z. Each of the 8 faces takes one vertex from each axis.

cis-[Co(NHX3)X4ClX2]X+\ce{[Co(NH3)4Cl2]+} (Cl at +x,+y+x,+y). A face with two Cl must contain both, and the edge (+x,+y)(+x,+y) lies in exactly two faces, completed by +z+z or −z-z (both N). 2 faces.

mer-[Co(NHX3)X3ClX3]\ce{[Co(NH3)3Cl3]} (Cl at +x,−x,+y+x,-x,+y; N at −y,±z-y,\pm z). Every face has one xx-vertex (Cl) and one zz-vertex (N). It has two Cl exactly when its yy-vertex is +y+y. That gives 2×2=2\times2= 4 faces.

Total 2+4=62+4=6.