Modulus Quantum
Modulus Quantum
Find one quantum of energy given data.?
The interatomic spring stiffness for gold is determined from Young's modulus measurements to be 20 N/m. The mass of one mole of gold is 0.197 kg. If we model a block of gold 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 interatomic bond, 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:
hbar = 1.054610-34 Js (Planck's constant divided by 2)
Avogadro's number = 6.02211023 molecules/mole
k = 1.380710-23 J/K (the Boltzmann constant)
one quantum = ? in Joules
this is what i've tried:
hbar*sqrt((4*20N/m)/.197kg) = 2.12e-33 (which is wrong btw)
can someone show how to do this properly, and what i'm doing wrong.
Thanks
1 Q= 2006 J
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