Math Snap

STEP 1

Assumptions1. Scandium (Sc) is a metal with a charge of +3 (Sc^3+).
. Fluorine () is a non-metal with a charge of -1 (^-).
3. A binaryionic compound is formed when a metal and a non-metal combine.
4. The total charge of the compound should be neutral, meaning the sum of the charges of the ions should be zero.

STEP 2

First, we need to balance the charges of the ions to make the compound neutral. This is done by finding the least common multiple (LCM) of the absolute values of the charges of the ions.
$$LCM(|+|, |-1|)$$

STEP 3

Calculate the least common multiple.
$$LCM(|+3|, |-1|) =3$$

STEP 4

Now that we have the LCM, we can find the ratio of the ions in the compound. The ratio is determined by dividing the LCM by the absolute value of the charge of each ion.
For Scandium$$Ratio_{Sc} = LCM / |Charge_{Sc}| =3 / |+3| =1$$For Fluorine$$Ratio_{} = LCM / |Charge_{}| =3 / |-1| =3$$

The ratio of Scandium to Fluorine in the compound is13. This means that for every one Scandium ion, there are three Fluorine ions. Therefore, the formula of the binaryionic compound composed of Scandium and Fluorine is Sc3.
Formula Sc3