6) Calculate the absolute entropy for 1 mole of Ar gas (monatomic) with 22.4 liter volume at 273 K using Boltzmann's formula. What is the change in entropy if the temperature doubles while V is constant? What is the change in entropy if the volume doubles while T is constant? What is the change in entropy if both T and V double? (Note: To evaluate In(N!) use Stirling's asymptotic formula In(N!) ~ N In N – N ) S-k log W LVDWIG BOLTZMANN 18W-1906 DE FHILPAULA BOLTZMANN GER CAR

Gas A and gas B (each at 25 °C and 20 bar) are perfectly mixed in an isothermal mixer at a constant pressureof 20 bar as shown below where the molar flow rate of the outlet stream is 10 mol/s.The following table provides partial entropy and specific entropy of each inlet streams relevant to theoperating conditions shown above:           partial S(J/mol.k)     specific S(J/mol.k) Gas A +30                         +15Gas B +50                         +40If the entropy change during this mixing process is 120 J/(K.s). Then, calculate:a) Calculate the molar flow rate of stream A and stream B (in mol/s)b) Does this gas mixing process follow the ideal-gas model? Justify with calculations.

es the first and second laws of thermodynamics to produce 10:15 LTE Today Edit 9:56 AM tap ), 4. The Third Law of Thermodynamics (a) provides a criterion for spontaneity (b) provides a criterion for spontaneity (c) establishes standard pressure (d) isolated systems constant T and V I equations of themodynamics (e) provides an absolute value for entropy at absolute zero. - i s ar The Third Law of Themadynamce provides a crterion for spontaneity for isolated s a enterion for spontanety at constant compes ot and aocond in of temade ndamental eguations of themodynamics provides an abolute value for entroy at absok

3. Pressure and entropy of degenerate Fermi gas. (a) Show that a Fermi electron gas in the ground state exerts a pressure (3n²)2/3 h? (N\S/3 N\5/3 (90) 5 m V In a uniform decrease of the volume of a cube every orbital has its energy raised: The energy of an orbital is proportional to 1/L? or to 1/V213. (b) Find an expression for the entropy of a Fermi electron gas in the region z « Ep. Notice that o → 0 as t – 0.