Given a lithium atom where two of its electrons are in the 1s shell and the third is in the 2s shell. Consider the lithium atom using the Bohr model....

4.Given a lithium atom where two of its electrons are in the 1s shell and the third is in the 2s shell.

A. Consider the lithium atom using the Bohr model. Suppose that the two 1s electrons lie completely beneath the outermost electron. While the value of Z (nuclear charge) for lithium is Z=3, we might expect that the two inner electrons would shield the outermost electron so that the outer electron only "sees" a nucleus with an effective Z=1, (i.e. the positive three charge of the nucleus is partially cancelled by the two lower lying electrons). Use the Bohr model to calculate the ionization energy of an electron in a 2s orbital, with an effective Z (nuclear charge) value of 1.

B.The actual experimental ionization energy of a lithium atom is 520. kJ/mol. How much is this energy on a per atom basis?

C. Your answer in (b) should be significantly larger than your answer for (a). Now, relax the assumption that Z=1. Keeping the rest of the model the same (Bohr model, n=2), what value of Z is required to be consistent with the experimental ionization energy? What does this effective value for the nuclear charge tell you qualitatively about what is wrong with our crude model of lithium in (a)?