Splitting energy `(Delta_(0))` can usually be measured form the absorption spectra of the complex ions. In simple cases when light is absorbed by a complex ion, an electron in one of the lower energy orbitals is excited to one of the higher energy orbital. The energy corresponding to the frequency of absorbed light is equal to `Delta_(0)`. If value of `Delta_(0)` for the complex is in visible region, the complex is coloured and the value of `Delta_(0)` lies in ultraviolet or infrared region, the complex is colourless. For octahedral complexes, the cyrstal field stabilisation energy is given by `CFSE= +[-0.4t_(2g)N+0.6e_(g)N_(1)]Delta_(0)` Where N and `N_(1)` are number of electrons in `t_(2g)" and "e_(g)` orbitals respectively.
The value of CFSE can be used for the correction of the experimental values of heats of hydration of divalent can be obtained by substracting the calculated CFSE values form the experimental values.
The value of crystal field splitting `(Delta_(0))` for `[Ti(H_(2)O)_(6)^(3+)` is 243 kj `mol^(-1)`. The crystal field stabilisation energy (CFSE) in this complex is : (in kj `mol^(-1)`)

Options

A. `-(3)/(5)xx243`
B. `-(2)/(5)xx243`
C. `-3xx(2)/(5)xx243`
D. `-243`

Answer

B

Explanation

`[Ti(H_(2)O)_(6)]^(3+) implies d^(1),(t_(2g)^(1,0,0)eg^(0,0))`
CFSE`=-0.4xx1xxDelta_(0)`