The interatomic spring stiffness for copper is determined from Young's modulus measurements to be 28 N/m. The mass of one mole of copper is 0.064 kg. If we model a block of copper as a collection of atomic "oscillators" (masses on springs), what is one quantum of energy for one of these atomic oscillators? Note that since each oscillator is attached to two "springs", and each "spring" is half the length of the interatormic bornd, the effective interatomic spring stiffness for one of these oscillators is 4 times the calculated value given above. Use these precise values for the constants: h- 1.0546 x 10 34.s (Planck's constant divided by 27) Avogadro's number - 6.0221 x 1023 molecules/mole kg - 1.3807 x 10 23 1/K (the Boltzmann constant) In order for WehAssign to he able to give you sensible feedback, you must give 6 figures in your answers for t and S. Otherwise there is a build-up of round-off errors when you take dilferences of E and S, which could result in correct answers being marked wrong. one quantum = |3.422985323e-2 joules Here is a table containing the number of ways to arrange a given number of quanta of energy in a particular block of cupper. Complete the remainder of the table, including calculating the termperatlure of the block. The energy E Is measured from the ground state. Be sure to give the temperature to the nearest 0.1 degree. E (eneruy) 6 845970646e 9 9905331250-2 #ways S (entropy) AE AS T 20 2.66+31 /K 3 76301/6se.23 V 1/K 3 42/2132e21 91 0/6 21 4.06e i 32 7. 188269178e-2 1.0366834890-2 /K 3.69991110-23 1/K 3.4187593e-21 92.4 7.53056771e-20|| 1.07380264e-21 V /K 22 5.92e+33 There are 100 atoms in this object. What is the heat capacity on a per-atom basis? (Note that at high temperatures the heat capacity on a per-atom basis approaches the classical limit of Jkg - 4.2 x 101 /K/atom.) Heat capacity per atom - 2 585336347e2x /K/atom
The interatomic spring stiffness for copper is determined from Young's modulus measurements to be 28 N/m. The mass of one mole of copper is 0.064 kg. If we model a block of copper as a collection of atomic "oscillators" (masses on springs), what is one quantum of energy for one of these atomic oscillators? Note that since each oscillator is attached to two "springs", and each "spring" is half the length of the interatormic bornd, the effective interatomic spring stiffness for one of these oscillators is 4 times the calculated value given above. Use these precise values for the constants: h- 1.0546 x 10 34.s (Planck's constant divided by 27) Avogadro's number - 6.0221 x 1023 molecules/mole kg - 1.3807 x 10 23 1/K (the Boltzmann constant) In order for WehAssign to he able to give you sensible feedback, you must give 6 figures in your answers for t and S. Otherwise there is a build-up of round-off errors when you take dilferences of E and S, which could result in correct answers being marked wrong. one quantum = |3.422985323e-2 joules Here is a table containing the number of ways to arrange a given number of quanta of energy in a particular block of cupper. Complete the remainder of the table, including calculating the termperatlure of the block. The energy E Is measured from the ground state. Be sure to give the temperature to the nearest 0.1 degree. E (eneruy) 6 845970646e 9 9905331250-2 #ways S (entropy) AE AS T 20 2.66+31 /K 3 76301/6se.23 V 1/K 3 42/2132e21 91 0/6 21 4.06e i 32 7. 188269178e-2 1.0366834890-2 /K 3.69991110-23 1/K 3.4187593e-21 92.4 7.53056771e-20|| 1.07380264e-21 V /K 22 5.92e+33 There are 100 atoms in this object. What is the heat capacity on a per-atom basis? (Note that at high temperatures the heat capacity on a per-atom basis approaches the classical limit of Jkg - 4.2 x 101 /K/atom.) Heat capacity per atom - 2 585336347e2x /K/atom
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Transcribed Image Text:The interatomic spring stiffness for capper is determined from Young's modulus measurements to be 28 N/m. The mass of one mole of copper is 0.064 kg. If we model a block of copper as a coillection of atomic
"oscillators" (masses on springs), what is one quantum of energy for one of these atomic oscillators? Note that since each oscillator is attached to two "springs", and each "spring" is half the length of the
interatormic bornd, the effective interatomic spring stiffness for one of these oscillators is 4 times the calculated value given above.
Use these precise values for the constants:
h- 1.0546 x 10 34.s (Planck's constant divided by 27)
Avogadro's number - 6.0221 x 1023 molecules/mole
kg - 1.3807 x 10 23 /K (the Boltzmann constant)
In order for WehAssign to he able to give you sensible feedback, you must give 6 figures in your answers for t and S. Otherwise there is a build-up of round-off errors when you take
dilferences of E and S, which could result in correct answers being marked wrong.
one quantum = |3 422985323e-2 joules
Here is a table containing the number of ways to arrange a given number of quanta of energy in a particular block of cupper. Complete the remainder of the table, including calculating the temperalure of the
block. The energy E Is measured from the ground state. Be sure to give the temperature to the nearest 0.1 degree.
E (eneruy)
6 845970646e-29990533125e.2
S (entropy)
AE
AS
T
#ways
20 2.66+31
/K
3 76301/65e-23
V 1/K
3 427213221
91 0/6
7.188269178e-2 10366834890-2
21
4.06e 32
J/K
3.4187593e-21|
3.69991110-23
V 1/K
92.4
7.53056771e-20|| 1.07380264e-21
v /K
5.92e+33
22
There are 100 atoms in this object. What is the heat capacity on a per-atom basis? (Note that at high temperatures the heat capacity on a per-atom basis approaches the classical limit of 3kg- 4.2 x 10
VK/atom.)
Heat capacity per atom - 2 585336347e 2 x 1/K/atom
Just need the last one. The current answer is:
2.585336347E-23
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