Universal gas constant, R = 8.3145 J mol=1 K-1 1. The Helmholtz function of a certain gas is given by – nb)Tž an? F(T,V) = –nRT |1+ In| 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 x 10-5 m³ mol¬1, and $ = 1.09 x 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.
Universal gas constant, R = 8.3145 J mol=1 K-1 1. The Helmholtz function of a certain gas is given by – nb)Tž an? F(T,V) = –nRT |1+ In| 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 x 10-5 m³ mol¬1, and $ = 1.09 x 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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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