Equipartition定理物理学事業
The equipartition theorem revisited. We generalize the equipartition theorem to confined systems of structureless independent molecules by introducing a confining potential, which is usually not done explicitly in most textbooks. We show that if the size of the system is much larger than the range of the confining potential, the generalization
Estimate the heat capacities of metals using a model based on degrees of freedom. In the chapter on temperature and heat, we defined the specific heat capacity with the equation Q = mcΔT, or c = (1 / m)Q / ΔT. However, the properties of an ideal gas depend directly on the number of moles in a sample, so here we define specific heat capacity
Equipartition theorem. Thermal motion of an α-helical peptide. The jittery motion is random and complex, and the energy of any particular atom can fluctuate wildly. Nevertheless, the equipartition theorem allows the average kinetic energy of each atom to be computed, as well as the average potential energies of many vibrational modes.
With our results from kinetic theory and the equipartition of energy theorem, we can determine this heat capacity per mole. For example, for a monatomic ideal gas: Q = ΔU = Δ(3 2nRT) = n(3 2R) ΔT (5.6.5) (5.6.5) Q = Δ U = Δ ( 3 2 n R T) = n ( 3 2 R) Δ T. Comparing this to Equation 5.3.6, we see that the molar heat capacity (heat capacity
Estimate the heat capacities of metals using a model based on degrees of freedom. In the chapter on temperature and heat, we defined the specific heat capacity with the equation Q = mcΔT Q = m c Δ T, or c = (1/m)Q/ΔT c = ( 1 / m) Q / Δ T. However, the properties of an ideal gas depend directly on the number of moles in a sample, so here we
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