a. In the absorption spectrum of the complex ion
\(\mathrm{Cr}(\mathrm{NCS})_{6}{ }^{3-}\), there is a band corresponding to the
absorption of a photon of light with an energy of \(1.75 \times 10^{4}
\mathrm{~cm}^{-1}\). Given \(1 \mathrm{~cm}^{-1}=\) \(1.986 \times 10^{-23}
\mathrm{~J}\), what is the wavelength of this photon?
b. The \(\mathrm{Cr}-\mathrm{N}-\mathrm{C}\) bond angle in
\(\mathrm{Cr}(\mathrm{NCS})_{6}{ }^{3-}\) is predicted to be \(180^{\circ}\). What
is the hybridization of the \(\mathrm{N}\) atom in the \(\mathrm{NCS}^{-}\) ligand
when a Lewis acid-base reaction occurs between \(\mathrm{Cr}^{3+}\) and
\(\mathrm{NCS}^{-}\) that would give a \(180^{\circ}\)
\(\mathrm{Cr}-\mathrm{N}-\mathrm{C}\) bond angle?
\(\mathrm{Cr}(\mathrm{NCS})_{6}{ }^{3-}\) undergoes sub-
stitution by ethylenediamine (en) according to the equation
$$
\mathrm{Cr}(\mathrm{NCS})_{6}^{3-}+2 \mathrm{en} \longrightarrow
\mathrm{Cr}(\mathrm{NCS})_{2}(\mathrm{en})_{2}^{+}+4 \mathrm{NCS}^{-}
$$
Does \(\mathrm{Cr}(\mathrm{NCS})_{2}(\mathrm{en})_{2}^{+}\) exhibit geometric
isomerism? Does \(\mathrm{Cr}(\mathrm{NCS})_{2}(\mathrm{en})_{2}^{+}\) exhibit
optical isomerism?