Question

The wavelength of light absorbed by [Cu(H₂O)₄]²⁺ is 600 nm. The crystal field splitting energy is ______

पर्याय

• 150 kJ/mol

• 180 kJ/mol

• 200 kJ/mol

• 220 kJ/mol

Answer 1

The wavelength of light absorbed by [Cu(H₂O)₄]²⁺ is 600 nm. The crystal field splitting energy is 200 kJ/mol.

Explanation:

Crystal field splitting energy (ΔE) = `"hc"/lambda`

h = Planck's constant = 6.63 × 10^-34 Js

c = speed of light = 3.00 × 10⁸ m/s

λ = wavelength = 600 nm

ΔE = `((6.63 xx 10^-34 "Js")(3.00 xx 10^8 "m""/""s"))/((600 "nm")(1 xx 10^-9 "m""/""nm")) = 3.32 xx 10^-19` J/ion = (3.32 × 10^-19 J/ion) × (6.02 × 10²³ ions/mol)

= 199,864 J/mol = 199.9 kJ/mol ≈ 200 kJ/mol