6) Calculate the absolute entropy for 1 mole of Ar gas (monatomic) with 22.4 liter volume at273 K using Boltzmann's formula. What is the change in entropy if the temperature doubleswhile V is constant? What is the change in entropy if the volume doubles while T isconstant? 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 WLVDWIGBOLTZMANN18W-1906DE FHILPAULABOLTZMANNGER CAR

Entropy is a thermodynamic physical property.This is measurable and measures the disorder of the…

Answered: 6) Calculate the absolute entropy for 1…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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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.
A system absorbs 1.5 kJ at 25ºC from its surroundings and later releases 1.5 kJ to its surrounding at 75ºC. Calculate the overall entropy change for the system assuming both processes are reversible .Ans: 0.7 J/K
1. The Helmholtz function of a certain gas is given by (V – F (T,V) = –nRT |1+ ln v – nb)T? an? пф V where n is the number of moles of gas, T is the temperatures of the gas, V is the volume of the gas, and a, b, and o are constants. (a) Derive the equation of state, the entropy, and the internal energy of the gas. (b) Suppose that 100 moles of the gas expands from 2 m3 to 5 m³ at 280 K and that the constants have the values a = 0.364 J m3 mol-2, b = 4.27 × 10-5 m³ mol-1, and $ = 1.09 × 10-5 m³ K³/2 mol-1. Calculate: (i) AU. (ii) the maximum energy that can be made available for work due to the process.
7.
Give a specific example of a system with the energy transformation shown. In the question, W is the work done on the system, and K, U, and Eth are the kinetic, potential, and thermal energies of the system, respectively. Any energy not mentioned in the transformation is assumed to remain constant; if work is not mentioned, it is assumed to be zero. W → ΔEth
In this problem we will consider compression of a liquid sample. For practical purposes liquids can be considered incompressible. (a) Evaluate AG when pressure acting on 100 mm³ of mercury is increased by 1000 bar at constant T. (b) To evaluate q for this process we will need to use Maxwell relations. Starting from the differential of S in terms of differentials of T and p show that TdS = CpdT - aTVdp. Hence, show that the energy transferred as heat when the pressure on an incompressible liquid or solid is increased by Ap at constant T is equal to -aTVAp. Evaluate q for the compression process in (a) at T = 273 K (a = 273 K (a = 1.82 × 10−4 K−¹).

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