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

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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