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PROBLEMS 1. Prove the following equations for a simple compressible system: (a) = T aT au (b) ap %3D ƏT

PROBLEMS 1. Prove the following equations for a simple compressible system: (a) = T aT au (b) ap %3D ƏT

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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I want to solve these questions in all its branches, especially for thermodynamic, and thanks for the help

PROBLEMS 1. Prove the following equations for a simple compressible system: (制- (a) T (b) ap where a and k are the coefficients of thermal expansion and the isothermal compressibility respectively. 2. Prove the following equations for a simple compressible system: (a) du = cy dT + dv ъ) dh%3D Cp dT + (о - аТы) dр KC, (c) ds = dp + du aTv (d) da = -(apv + s) dT + kpv dp aT 3. Find the coefficient of thermal expansion a and the isothermal compressibility k from each of the following p-v-T relations: RT (a) Ideal gas equation, p = RT (b) Dieterici equation, p = e-a/RTv %3D RT (c) Saha-Bose equation, p = e-a/RTv In 2b In the above equations R is the gas constant and a and b are specific constants. Verify that for large values of T and v all the expressions for a and K go over into the corresponding expressions for an ideal gas. 27
Transcribed Image Text:PROBLEMS 1. Prove the following equations for a simple compressible system: (制- (a) T (b) ap where a and k are the coefficients of thermal expansion and the isothermal compressibility respectively. 2. Prove the following equations for a simple compressible system: (a) du = cy dT + dv ъ) dh%3D Cp dT + (о - аТы) dр KC, (c) ds = dp + du aTv (d) da = -(apv + s) dT + kpv dp aT 3. Find the coefficient of thermal expansion a and the isothermal compressibility k from each of the following p-v-T relations: RT (a) Ideal gas equation, p = RT (b) Dieterici equation, p = e-a/RTv %3D RT (c) Saha-Bose equation, p = e-a/RTv In 2b In the above equations R is the gas constant and a and b are specific constants. Verify that for large values of T and v all the expressions for a and K go over into the corresponding expressions for an ideal gas. 27
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