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e) Use (; a²p Find the value of Vm at which both of these deriva- T to find aVm tives are zero.

e) Use (; a²p Find the value of Vm at which both of these deriva- T to find aVm tives are zero.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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1. Consider the van der Waals equation (1) а (Vm – b) – RT = 0 m where p, Vm, T, are, respectively, pressure, molar volume, and temperature and R, a, and b are constants. a) Find ƏVm ƏT :) by computing the differential of (1) at constant p. b) Find 2) by computing the differential of (1) at constant T. aVm T c) Use the expressions for (). :) and suitable relationships between aVm and ƏT T partial derivatives to find ƏT Vm and () and suitable relationships between aVm ƏT d) Use the expressions for aT Vm (*). partial derivatives to find aVm T (盘)。 to find ( Find the value of Vm at which both of these deriva- e) Use av2 T tives are zero.
Transcribed Image Text:1. Consider the van der Waals equation (1) а (Vm – b) – RT = 0 m where p, Vm, T, are, respectively, pressure, molar volume, and temperature and R, a, and b are constants. a) Find ƏVm ƏT :) by computing the differential of (1) at constant p. b) Find 2) by computing the differential of (1) at constant T. aVm T c) Use the expressions for (). :) and suitable relationships between aVm and ƏT T partial derivatives to find ƏT Vm and () and suitable relationships between aVm ƏT d) Use the expressions for aT Vm (*). partial derivatives to find aVm T (盘)。 to find ( Find the value of Vm at which both of these deriva- e) Use av2 T tives are zero.
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