A fictitious atom has only three energy levels; the lowest one has E1 = 0.0eV and there is only one state at this energy; the energy of the other two levels E2 and E3 are not known. There are two states with energy E2 and three states with energy E3. The system is not isolated, it is in contact with a reservoir at temperature T= 2100K. The probability that the atom has energy E1 is twice as large as the probability it has energy E2. (a) Determine the energy E2 in units of eV. (b) The probability that the atom is in one particular state with energy E3is 3.33%. Determine the numerical value of the partition function Z at this temperature. (c) Determine the average energy of the system in units of gV. [If you were unable to solve previous parts of the problem, you can receive partial marks by writing a correct algebraic formula.]