Using equipartition of energy, the specific heat (in J kg ^ - 1 K ^...

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 $= 27$ )

Options

A $25$
B $1850$
C $410$
D $925$

Correct answer

D. $925$

Step-by-step solution

Solid atom possesses

6

degrees of freedom due to vibrations at high temperature.

{C}_{v} = \dfrac{1}{2}fR = \dfrac{6R}{2} = 3R

for

1mole

∴

Specific heat capacity in

J{kg}^{- 1}{K}^{- 1} = \dfrac{{C}_{v}}{M}

= \dfrac{3R}{M} = \dfrac{3 \times 8.314}{27} \times 1000

\approx 925

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