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JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases

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

  1. A \(410\)
  2. B \(25\)
  3. C \(1850\)
  4. D \(925\)
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Answer & Solution

Correct Answer

(D) \(925\)

Step-by-step Solution

Detailed explanation

Using equipartition of energy, we have \(\frac{6}{2} K T=m C T\) \(C=\frac{3 \times 1.38 \times 10^{-23} \times 6.02 \times 10^{23}}{27 \times 10^{-3}}\) \(\therefore \mathrm{C}=925 \mathrm{J} / \mathrm{kgK}\)
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