Question

The effective interatomic spring stiffness for tungsten is determined experimentally to be 360 N/m. The mass of one mole of tungsten is 0.185 kg. Use precise values for constants in this problem: h=6.6262!!10^{-34} J!!s; N_{A}=6.0221 !! 10^{23}, k_{B}=1.3807 !! 10^{-23}. (a) What is one quantum of energy for one of these atomic oscillators? Recall that the fundamental frequency of a mass on a spring is f = 1/2? ?{k/m}. (b) In a very small particle of tungsten with 20 units of energy, there are 4.91!!10^{26} ways to arrange the energy. Find the total energy (in Joules) in the block, and the total entropy. (c) Now we add one unit of energy, and there are 4.44!!10^{27} ways to arrange the 21 units of energy. What is the change in total energy? What is the change in entropy? Use these with the definition of temperature (T = ?U/?S ? ?U/?S) to find the temperature of the block.

          The effective interatomic spring stiffness for tungsten is determined experimentally to be 360 N/m. The mass of one mole of tungsten is 0.185 kg. Use precise values for constants in this problem: h=6.6262!!10^{-34} J!!s; N_{A}=6.0221 !! 10^{23}, k_{B}=1.3807 !! 10^{-23}. (a) What is one quantum of energy for one of these atomic oscillators? Recall that the fundamental frequency of a mass on a spring is f = 1/2? ?{k/m}. (b) In a very small particle of tungsten with 20 units of energy, there are 4.91!!10^{26} ways to arrange the energy. Find the total energy (in Joules) in the block, and the total entropy. (c) Now we add one unit of energy, and there are 4.44!!10^{27} ways to arrange the 21 units of energy. What is the change in total energy? What is the change in entropy? Use these with the definition of temperature (T = ?U/?S ? ?U/?S) to find the temperature of the block.

The effective interatomic spring stiffness for tungsten is determined experimentally to be 360 N/m. The mass of one mole of tungsten is 0.185 kg. Use precise values for constants in this problem: h=6.6262!!10^-34 J!!s; NA=6.0221 !! 10^23, kB=1.3807 !! 10^-23. (a) What is one quantum of energy for one of these atomic oscillators? Recall that the fundamental frequency of a mass on a spring is f = 1/2? ?k/m. (b) In a very small particle of tungsten with 20 units of energy, there are 4.91!!10^26 ways to arrange the energy. Find the total energy (in Joules) in the block, and the total entropy. (c) Now we add one unit of energy, and there are 4.44!!10^27 ways to arrange the 21 units of energy. What is the change in total energy? What is the change in entropy? Use these with the definition of temperature (T = ?U/?S ? ?U/?S) to find the temperature of the block.

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