Kinetic Theory

JEE Main level, single correct, medium

159 of 168

Question 159 of 168

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

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Answer: (D) 925925

Solid atom possesses 66 degrees of freedom due to vibrations at high temperature.

Cv=12fR=6R2=3R{C}_{v}=\dfrac{1}{2}fR=\dfrac{6R}{2}=3R for 1mole1mole
∴∴ Specific heat capacity in Jkg−1K−1=CvMJ{kg}^{-1}{K}^{-1}=\dfrac{{C}_{v}}{M}

=3RM=3×8.31427×1000=\dfrac{3R}{M}=\dfrac{3\times 8.314}{27}\times 1000

≈925\approx 925

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