Suppose you take a trip to a distant universe and find that the periodic table there is derived from an arrangement of quantum numbers different from the one on Earth. The rules in that universe are: 1. principal quantum number n = 1, 2, .. (as on Earth): 2. angular momentum quantum number l = 0, 1, 2, .., n - 1 (as on Earth): 3. magnetic quantum number m_l = 0, 1, 2, .., l (only positive integers up to and including l are allowed): 4. spin quantum number m_s = -1, 0, + 1 (that is, three allowed values of spin). (a) Assuming that the Pauli exclusion principle remains valid in the distant universe, what is the maximum number of electrons that can populate a given orbital there? (b) Write the electronic configuration of the element with atomic number 8 in the periodic table. Formatting: superscript numbers where appropriate but omit parentheses. (c) What is the atomic number of the second noble gas?