To determine the simplest formula for the ionic compound formed between magnesium (Mg) and element X, we need to analyze the electronic configurations and typical charges of the involved elements:
Electronic Configuration: Magnesium (Mg) has the atomic number 12. Its electronic configuration is 1s2 2s2 2p6 3s2. This means magnesium tends to lose two electrons to achieve a noble gas configuration, resulting in a Mg2+ ion.
The element X has an electronic configuration of 1s2 2s2 2p3, which corresponds to nitrogen with the atomic number 7. To achieve stability with a noble gas configuration (1s2 2s2 2p6), it needs to gain three electrons, forming an X3- ion.
Combining Ions: The charges of Mg2+ and X3- need to balance when they form an ionic compound. Thus, the smallest number of Mg and X that bring their charges into balance are two Mg2+ ions and three X3- ions.
This yields a total charge balance of 2(Mg2+) + 3(X3-) = 0, resulting in the compound Mg3X2.
Conclusion: Thus, the simplest formula for the compound formed from Mg and X is Mg3X2.