transitional translational partition function (zamk I 3/2 V ĥ² 2 Ztr = alnız2 Maxwell - Boltzmann stot S = KN[T [2/1/72 ) ) ₁ + [n (²2/3) + 1]
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Can I substitute Ztr into Maxwell-Boltzmann statistic function?
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- 4. Derive the maxwell equations for U, H, G and A Table 6.2.1: Maxwell Relations Function U H A G Differential dU = TdS-pdV dH = TdS + Vdp dA=-pdV - SdT dG = Vdp - SdT Natural Variables S, V S, P V, T P, T Maxwell Relation (or)--( др as V (37), = (35), as (OP), - (OV), = V (3r), - - (35), = TPlease do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer. and and Very very grateful!Find a formula for the temperature of an Einstein solid in the limit q « N . Solve for the energy as a function of temperature to obtain U = N€e-€/kT (where € is the size of an energy unit).
- Show that the mass density of radiation ρrad is given by ρrad = 4σT4/c3 where σ is the Stefan-Boltzmann constant and T is the temperature. You might fi nd the Stefan-Boltzmann law and E = mc2 to be useful.Can you walk me through using STK to verify this result? I have STK 12 for referance.In addition to the cosmic background radiation of photons, the universe is thought to be permeated with a background radiation of neutrinos (v) and antineutrinos (v ), currently at an effective temperature of 1.95 K. There are three species of neutrinos, each of which has an antiparticle, with only one allowed polarization state for each particle or antiparticle. For parts (a) through (c) below, assume that all three species are exactly massless. Derive a formula for the number of neutrinos per unit volume in the neutrino background radiation. Evaluate your result numerically for the present neutrino temperature of 1.95 K.