We know that for an ideal gas Cp,m = Cv,m + R. %3D The general relationship for any gas can be written, for 1 mole, as Cp,m = Cy,m + (Yn") a²VmT` k (equation-1) Where Vm is the molar volume (the volume of 1 mole of the gas, V/n). a is the coefficient of volume expansion and is given by: a = where the partial derivative of V with respect to T is calculated ƏT assuming P is constant And K is the coefficient of volume expansion and is given by: k = GO where the partial derivative of V with respect to P is calculated assuming T is constant. Note the minus in the definition. Prove that equation-1 reduces to the result derived in class for an ideal gas by calculating (A²V¼T\ k

We know that for an ideal gas Cp,m = Cv,m + R. %3D The general relationship for any gas can be written, for 1 mole, as Cp,m = Cy,m + (Yn") a²VmT` k (equation-1) Where Vm is the molar volume (the volume of 1 mole of the gas, V/n). a is the coefficient of volume expansion and is given by: a = where the partial derivative of V with respect to T is calculated ƏT assuming P is constant And K is the coefficient of volume expansion and is given by: k = GO where the partial derivative of V with respect to P is calculated assuming T is constant. Note the minus in the definition. Prove that equation-1 reduces to the result derived in class for an ideal gas by calculating (A²V¼T\ k

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter9: Liquids, Solids, And Materials

Section: Chapter Questions

Problem 45QRT: At the critical point for carbon dioxide, the substance is very far from being an ideal gas. Prove...

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