Derive the following thermodynamic equation of state.ne= -P + TavApply the equation to the following.(a) an ideal gas(b) a van der Waals gasComment on your results.Step 1 of 7Derive the following thermodynamic equation of state.(),au= -P + TITavaTVDifferentiate the equation dU = –PdV + TdS with respect to V while keeping T constant to obtain an()asexpression forUse the following as necessary: P, S, T, V, and ASV¡ to representav ITavaunRTavV-P+T·ASVTStep 2 of 7(), and (), (uxIdentify the relationship betweenUse the following as necessary: P, S, T, V, and APTVto representas

Thermodynamic Equation of State. It is a thermodynamic equation relating state variables, which…

Answered: Derive the following thermodynamic…

Derive the following thermodynamic equation of state. %3D = -P + av. Apply the equation to the following. (a) an ideal gas (b) a van der Waals gas Comment on your results.

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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Concept explainers

Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.

Question

Derive the following thermodynamic equation of state.
ne
= -P + T
av
Apply the equation to the following.
(a) an ideal gas
(b) a van der Waals gas
Comment on your results.
Step 1 of 7
Derive the following thermodynamic equation of state.
(),
au
= -P + T
IT
av
aT
V
Differentiate the equation dU = –PdV + TdS with respect to V while keeping T constant to obtain an
()
as
expression for
Use the following as necessary: P, S, T, V, and ASV¡ to represent
av IT
av
au
nRT
av
V
-P+T·ASVT
Step 2 of 7
(), and (), (ux
Identify the relationship between
Use the following as necessary: P, S, T, V, and APTV
to represent
as

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2. A system consists of 1 mole of ideal gas is taken through the cycle shown below from (1→2 →3). For this ideal gas, Cp = 5R/2 and C+ = 3R/2 (a) Determine the temperature (in units of K to 4 sig. figs) at the points, 1, 2, and 3 For (b), (c), and (d) please report q, w, AU, and AH in units of kJ to 3 sig. figs. If an answer is 0, then just put 0 for the answer. (b) Calculate q, w, AU, and AH for step 1-2 (in other words as the system is taken from an initial state at point 1 to a final state at point 2) (c) Calculate q, w, AU, and AH for step 2→3 (d) Calculate q, w, AU, and AH for step 3→1 1.0 P (atm) 0.5 1 22.4 isotherm V (dm³) 44.8
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