CHEM 5 Study Guide - Thiamine, Wolfram Mathematica (Software), Molar Mass

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#1) the debye theory of solids provides an accurate description of the temperature dependance of the heat capacity of monatomic solids over a wide temperature range. According to the debye theory, the molar heat capacity at constant volume, Cv for an absolute temperature t, is given by the following expres- sion cv = 9 rj t. Given that qd = 309 k for copper, calc. the molar heat capacity, which will come out in units of. K*mol for copper at 103 k using the eq. above. #2) according to the kinetic theory of gases, the distribution of speeds of atoms or moleucles in a ideal gas is given by the maxwell-boltzmann distribution: Here, f(u)du is hte probability that an atom/molecule in the gas has a speed between u and u+du, M = the molar mass of the atom/molecule. T = the absolute temperature: derive an expression for the most-probable speed by solving the equaiton df(u)/d.