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Experimental measurements of the heat capacity of aluminum at a constant pressure and at low temperatures...

Experimental measurements of the heat capacity of aluminum at a constant pressure and at low temperatures (below about 50 K) can be fit to the formula

C =aT+bT^3
where for some particular metal, a = 0.00135 J/K2 and b = 2.48 × 10−5 J/K4.

  1. What is the heat needed to heat the metal at a constant pressure from 5 K to 10 K?

  2. What is the change in entropy of the metal over this change. By what factor does the multiplicity of metal change?

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