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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ALEKS-Andrew Herrera - Le: X G ml1- Google Search = 184°F O STATES OF MATTER Using the ideal equation of state Sunny X G ml to 1 - Google Search www-awa.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-lvgXwPgmUhvITCeeBZbufuBYTI0Hz7m7D3Zc3-ha0PfzcwecOQ-Z3dKGLCmIn-Wf2EOmT65eVr9icA... mass: g mole: mol Explanation Boron trifluoride gas is collected at 16.0 °C in an evacuated flask with a measured volume of 40.0 L. When all the gas has been collected, the pressure in the flask is measured to be 0.050 atm. Calculate the mass and number of moles of boron trifluoride gas that were collected. Round your answer to 2 significant digits. Check ‒‒ ▬▬▬▬ 10 X Q Search G co2 mass - Google Search 5 X W G 140 in percent - Google Sear X + 0/5 ☆ V h ☐ Andrew V ? 區 Ō allo Ar © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility 12:34 PM 7/19/2025
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