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A nanoparticle consisting of four aluminum atoms (object 1) initially has 1 quantum of energy. It is brought into contact with a nanoparticle consisting of two aluminum atoms (object 2), which initially has 2 quanta of energy. The mass of one mole of aluminum is 27g (The interatomic spring stiffness for aluminum from Young's modulus measurements is 16 N/m, giving an effective interatomic spring stiffness of 64 N/m for each oscillator) (a) Using the Einstein model of a solid.calculate and plot In(,) vs. q, (the number of quanta in object 1), In(2) vs. qand In2) vs q, (put all three plots on the same graph).

A nanoparticle consisting of four aluminum atoms (object 1) initially has 1 quantum of energy. It is brought into contact with a nanoparticle consisting of two aluminum atoms (object 2), which initially has 2 quanta of energy. The mass of one mole of aluminum is 27g (The interatomic spring stiffness for aluminum from Young's modulus measurements is 16 N/m, giving an effective interatomic spring stiffness of 64 N/m for each oscillator) (a) Using the Einstein model of a solid.calculate and plot In(,) vs. q, (the number of quanta in object 1), In(2) vs. qand In2) vs q, (put all three plots on the same graph).

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A nanoparticle consisting of four aluminum atoms (object 1) initially has 1 quantum of energy. It is brought into contact with a nanoparticle consisting of two aluminum atoms (object 2), which initially has 2 quanta of energy. The mass of one mole of aluminum is 27g (The interatomic spring stiffness for aluminum from Young's modulus measurements is 16 N/m, giving an effective interatomic spring stiffness of 64 N/m for each oscillator) (a) Using the Einstein model of a solid, calculate and plot In2,) vs. q (the number of quanta in object 1), In(2) vs. q3 , and In(42ceal) vs. q (put all three plots on the same graph). (b) To estimate the equilibrium temperature, find the temperature of object 1 at equilibrium. K
Transcribed Image Text:A nanoparticle consisting of four aluminum atoms (object 1) initially has 1 quantum of energy. It is brought into contact with a nanoparticle consisting of two aluminum atoms (object 2), which initially has 2 quanta of energy. The mass of one mole of aluminum is 27g (The interatomic spring stiffness for aluminum from Young's modulus measurements is 16 N/m, giving an effective interatomic spring stiffness of 64 N/m for each oscillator) (a) Using the Einstein model of a solid, calculate and plot In2,) vs. q (the number of quanta in object 1), In(2) vs. q3 , and In(42ceal) vs. q (put all three plots on the same graph). (b) To estimate the equilibrium temperature, find the temperature of object 1 at equilibrium. K
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