Probably an easier way to do that is to notice that for every formula unit of MgCl
2, one Mg
2+ ion and two Cl
- ions would be formed, according to the equation
MgCl
2 Mg
2+ + 2Cl
-The mole ratio of Cl
- to MgCl
2 is 2:1. Therefore, the .228 M MgCl
2 solution is actually .456 M in Cl
- (.228 times 2). Then you can proceed to calculate the molarity of the diluted solution from there.
Also, just for future reference, chloride
ions are formed, not chlorine atoms, because the chlorine atoms carry an extra electron and hence have a -1 charge.