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The molar specific heat of many materials at low temperatures is found to obey the Debye law C_v = A[T/theta]^3 where A is a constant equal to 1.94 x 10^3 Jmol^-1K^-1 and with the Debye temperature theta taking different values for different materials. For diamond, it is 1860 K.
(a) Evaluate c_v at 20 K and 100 K.
(b) How much heat is required to heat one mole of diamond between 20 K and 100 K?
(c) What is the average molar specific heat in this range?
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oleum or fuming sulfuric acid available commercially in concentrations ranging from 20 to 99.9 sulfur trioxide. a.
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