A nanoparticle consisting of four iron atoms (object 1) initially has 1 quantum of energy. It is brought into contact with a
nanoparticle consisting of two iron atoms (object 2), which initially has 2 quanta of energy. The mass of one mole of iron is
56 grams.
(a) Using the Einstein model of a solid, calculate and plot ln Ω1 vs. q1 (the number of quanta in object 1), ln Ω2 vs. q1,
and ln Ωtotal vs. q1 (put all three plots on the same graph). Show your work and explain briefly.
(b) Calculate the approximate temperature of the objects at equilibrium. State what assumptions or approximations you
made.
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