Question

a gaseous sample of a pure, unknown element is analysed using a photoelectron spectrometer. a simplified version of the complete photoelectron spectrum produced is provided. assume that atoms in the sample are neutral and are in the ground - state electron configuration.
complete the ground - state electron configuration for this element.
how many electrons are in each atom in the sample?
which element is the sample made up of?

Explanation:

Step1: Analyze photoelectron spectrum

The photoelectron spectrum gives information about the energy levels of electrons in an atom. Each peak corresponds to a different sub - shell of electrons.

Step2: Determine electron configuration

Based on the peaks in the spectrum and the relative binding energies, we can write out the electron configuration. For example, if there are peaks at certain binding energies corresponding to the 1s, 2s, 2p etc. sub - shells, we can fill the sub - shells according to the Aufbau principle (filling lower energy sub - shells first), Pauli exclusion principle (each orbital can hold a maximum of 2 electrons with opposite spins) and Hund's rule (electrons occupy degenerate orbitals singly before pairing up).

Step3: Count electrons

Count the number of electrons in the electron configuration to find out the number of electrons in the atom.

Step4: Identify element

The number of electrons in a neutral atom is equal to its atomic number. Using the atomic number, we can identify the element from the periodic table.

Answer:

Without the actual values from the photoelectron spectrum (binding energies and peak intensities), specific numerical answers cannot be provided. But the general steps to solve are as above. First, write the electron configuration from the spectrum, then count electrons to find the atomic number and identify the element.