In thermodynamically approach method, heat capacity (C_v) is expressed as C_v =

Question

In thermodynamically approach method, heat capacity (C_v) is expressed as C_v = K integral_0^infinity (hv/kT)^2 e^-hv/kT g(v)/(1 -e^- hv/k^)^2 dV (a) What is the meaning of the function g(v) and what condition is needed? (b) How Einstein process g(v) to integrate above equation for marking C_v to temperature function. (c) Debye heat capacity function value of Al is 0.97 at 500K and theta_D value of Al and Cu are 390K and 315K each. Then, what is the C_v value of Al at 500K and what is the temperature of Cu as same C_v value.

Explanation / Answer

(A) In g(v) g is the frequency distribution and v is Vibrational frequency. The expression was devised by Peter debye in which he consider the vibrational frequency of atoms present on different lattices.

(b)

(c)

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