Using equipartition of energy, the specific heat (in J kg^ -1 K^ -1 ) of Aluminium at high temperature can be estimated to be (atomic weight of Aluminium = 27)

JEE Main 2015 Physics question

Using equipartition of energy, the specific heat (in J kg K) of Aluminium at high temperature can be estimated to be (atomic weight of Aluminium = 27)

(1)25
(2)1850
(3)410
(4)925Correct

Answer: (4)

Solution

In a solid each atom vibrates about its lattice site in three dimensions, and each vibrational degree of freedom carries of kinetic plus of potential energy. With three directions this gives per atom, i.e. a molar internal energy of and a molar specific heat of $C = 3R

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Question ID VK-115324