Final answer:
The formula for bis(ethane-1,2-diamine) dihydroxidochromium(III) chloride is [Cr(en)2(OH)2]Cl, reflecting chromium(III) with two ethane-1,2-diamine and two hydroxide ligands, and one chloride as a counter ion.
Step-by-step explanation:
The formula for the coordination compound bis(ethane-1,2-diamine) dihydroxidochromium(III) chloride can be written by considering the ligands and the oxidation state of the metal ion. The prefix 'bis' indicates that there are two ethane-1,2-diaminet ligands, each represented by 'en'. 'Dihydroxido' refers to two hydroxide ligands (OH-), and 'chromium(III)' indicates a chromium ion with a +3 charge. The final 'chloride' indicates the presence of a chloride ion (Cl-) as a counter ion.
Considering these details, the formula for this compound is [Cr(en)2(OH)2]Cl where 'Cr' stands for chromium, 'en' stands for ethane-1,2-diamine, 'OH' for hydroxide, and 'Cl' for chloride. This correctly reflects the metal ion, ligands, and their stoichiometry in the compound.