IGNOU PHE 13 2026 - The electronic and lattice heat capacities for copper at ar

Question

The electronic and lattice heat capacities for copper at $0.01\text{ K}$ are $5.04\times 10^{-6}\\text{J/(kmole-K)}$ and $4.60\times 10^{-11}\\text{J/(kmole-K)}$ respectively. What do you conclude from these magnitudes?

29 Jan 2026

Answer :

Word Count : 257

In a metal like copper, the total heat capacity arises from contributions of conduction electrons and lattice vibrations. The electronic heat capacity varies linearly with temperature and is expressed as (C_e = \gamma T), where (\gamma) is a small constant characteristic of the metal. The lattice (phonon) heat capacity follows the Debye (T^3) law at low temperatures and is given by (C_l = \beta T^3), where (\beta) depends on the Debye temperature of the crystal.

_____ __________ ___ ___ ______ ___ ___ ________ _________ ________ _____ _____.
____ ___ _______ ________ ____ __________ _________.
_________ ___ _________ ______ ______.
_____ _______ ___ ___ __________.
_________ ___ _____ ______ ________ ________ _______ _________.
_____ _________ ___ _________ ___.
____ _______ _________ _____ ________ _____ ____ ________ __________ _______ _________ ______.
_________ ______ ___ ________ __________ ____ _______.
__________ _______ ______ ______ __________ ________ _____ _______ _______ ______ ___ _______.
________ ________ __________ ___ _____.
__________ ________ ____ ______ ________ ______ ______ __________ _____.
____ __________ _____ ______ _____ ___.
________ _________ __________ _____ __________ __________ _____ __________.
___ _______ ________ ___ ____ ______ ___ _________ _______ __________ ______.
_____ ___ ________ ________ ___ _____.
__________ _______ _________ _______ ____ ____ ______ ______.
_________ ________ _________ ______ ____ _______ ___.
_____ __________ ___ _____ _____ ______ __________ _____ ____.
_________ ____ ___ _______ ____ ___ ______.
____ ____ ______ ___ __________ _______ ____ _________ ______ __________ ____ __________.
__________ ______ __________ ________ ___ __________ ____ _____ __________ ____.
_______ ____ _____ _________ ____ ________ ______ ___ _________ ______ ___.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers