Question

The Debye temperature of carbon is 1850K. Calculate the specific heat per kmol for
diamond at 20K. Also compute the highest lattice frequency involved in the Debye theory.

Answer 1

Answer:

Answer on Question #51562, Physics, Solid State PhysicsThe Debye temperature for silver is 225 K. Calculate thehighest possible frequency for lattice vibrations in silver and its molar heat capacity at 10 K and 500 K.Solution:The maximum frequency of vibration of the atoms of solid bodiesis given by Eq.(1)2312341.38 10 / 2254.7 106.62 10BDDkTJKKfHzhJs   (1)where 231.38 10 /BkJKis the Boltzmann constant; 346.62 10hJs  is the Planck constant; DTis the Debye temperature.The molar heat capacityis given by Eq.(2)34/2091DTTVBDTeCTNkdTe(2)where Nis the number of atoms in a solid body.Than34225/1023 232034225/50023 23201010 9 6.02 10 1.38 10 / 0.17 /2251500500 9 6.02 10 1.38 10 / 26.67 /2251VVeCTJKdJKeeCTJKdJKe          Answer:124.7 10BDDkTfHzh  ; 10 0.17 /VCTJK; 500 26.67 /