The complex ion, [ni (nh3) 6] 2+, has a maximum absorption near 580 nm. calculate the crystal field splitting energy (in kj/mol) for this ion. 292 kj/mol 485 kj/mol 206 kj/mol 343 kj/mol 114 kj/mol

In given dа ta:

maximum absorption wavelength λ = 580 nm = 580 x 10⁻⁹ m

write the equation to find the crystal field splitting energy:

E = hC / λ

Here, E is the crystal field splitting energy, h = 6.63 x 10⁻³⁴ J. sec is Planck's constant and C = 3 x 10⁸ m/sec is speed of light.

substitute in the equation above:

E = (6.64 x 10⁻³⁴ x 3 x 10⁸) / (580 x 10⁻⁹) = 3.43 x 10⁻¹⁹J

This crystal field splitting energy is for 1 ion.

Number of atoms in one mole, NA = 6.023 x 10²³

to calculate the crystal field splitting energy for one mole:

E (total) = E x NA

= (3.43 x 10⁻¹⁹) x (6.023 x 10²³) = 206 kJ / mole