Quantum numbers of the outermost electron in potassium:
.
.
.
Either .
Explanation:
Refer to the electron configuration of a potassium atom. The outermost electron in a ground-state potassium atom is in the orbital (fourth orbital.)
The quantum number (the principal quantum number) specifies the main energy shell of an electron. This electron is in the fourth main energy shell (as seen in the number four in the orbital.) Hence, for this electron.
The quantum number (the angular momentum quantum number) specifies the shape (, , , etc.) of an electron. for orbitals (such as the one that contains this electron.
Quantum numbers and specify the shape of an orbital. On the other hand, the magnetic quantum number specifies the orientation of these orbitals in space.
However, orbitals are spherical. Regardless of the value of , the only possible value for electrons in orbitals is .
The spin quantum number distinguishes between the two electrons in an orbital. The two possible values of are and . Typically, the first electron in an orbital is assigned an upward () spin, which corresponds to .
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2) The reaction of a metal with O2(g) to form an ionic compound (with O2- ions) is of the type
X (+) + O2 (g) ---> X2O or
2 X(2+) + O2(g) ----> X2O2 = 2XO or
4X(3+) + 3O2(g) ---> 2X2O3
In the first case, 1 mol of metal react with 1 mol of O2(g); in the second case, 2 moles of metal react with 1 mol of O2(g); in the third, 4 moles of X react with 3 moles of O2(g)
So, lets probe those 3 cases.
3) Case 1: 1 mol of metal X / 1 mol O2(g) = x moles / 0.01226 mol
=> x = 0.01226 moles of metal X
Now you can calculate the atomic mass of the hypotethical metal:
1.15 grams / 0.01226 mol = 93.8 g / mol
That does not correspond to any of the metal with valence 1+
So, now probe the case 2.
4) Case 2:
2moles X metal / 1 mol O2(g) = x / 0.01226 mol
=> x = 2 * 0.01226 = 0.02452 mol
And the atomic mass of the metal is: 1.15 g / 0.02452 mol = 46.9 g/mol
That is similar to the atomic mass of titanium which is 47.9 g / mol and whose valece is 2+.
4) Case 3
4 mol meta X / 3 mol O2 = x / 0.01226 => x = 0.01226 * 4 / 3 = 0.01635
atomic mass = 1.15 g / 0.01635 mol = 70.33 g/mol
That does not correspond to any metal.
Conclusion: the identity of the metallic element could be titanium.