Derive the following thermodynamic equation of state.au= -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 + TduDifferentiate the equation dU = –PdV + TdS with respect to V while keeping T constant to obtain an expression forUse the following as necessary: P, S, T, V, andavasASVī to representnRT=V-P+T·ASVTStep 2 of 7asIdentify the relationship betweenandUse the following as necessary: P, S, T, V, and APTy to representas

Answered: Image /qna-images/answer/9f62ed49-cde7-4b1f-a1ad-f8dd066898fe.jpg

Answered: Derive the following thermodynamic…

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

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...

See similar textbooks

Similar questions

Use the data in Table 2.2 to determine Hp T for Ar at 0C and 1atm. Make any reasonable assumptions necessary.
Which of the following quantities can be taken to be independent of temperature? independent of pressure? (a) H for a reaction (b) S for a reaction (c) G for a reaction (d) S for a substance
Use the ideal gas law to demonstrate the cyclic rule of partial derivatives.
Show that = T/p for an ideal gas.
(6) Consider an ideal gas for which pV = n RT. Determine the change in pressure, p, for n = 2.0 moles of an ideal gas when the temperature, T, is changed from 190K to 200K and the volume, V, is changed from 20L to 19L. The gas constant is R = 8.314 J• mol-1 • K-1. Express your answer in atmospheres. HINT: Use an expression for the total differential dp(T, V). Evaluate your partial derivatives at the point (V,, T¡) with the increments in volume dV = (V, – V,) and dT = (T, – T,)
where a and b are constants. Find V RT a+bT 2) The equation of state of a certain gas is given by p : aV Vm ),
A fuel has the following volumetric analysis: CH4 = 68% C2H6 = 32% Assume complete combustion with 15% excess aur at 101.325 kPa and 27 degrees dry bulb temperature. What is the total moles in the products of combustion?
. Evaluate ƏT for an ideal gas and a van der Waals gas. Hint: [+] = T(²²) ƏT
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
A certain gas obey's the following equation of state: RT P = V – b V²T a Write the constants a andb in terms of the critical P V. and T?
A quantity of gas in a piston cylinder has a volume of 0.475 m3 and a pressure of 200 Pa. The piston compresses the gas to 0.272 m3 in an isothermal (constant-temperature) process. What is the final pressure of the gas?
Q1/ The ideal gas equation of state is given by: PV = nRT Where: P is the pressure (atm), V is the volume (L), 7 is the temperature (K), R=0.08206 (L atm)/(mol K) is the gas constant, and n is the number of moles. Real gases, especially at high pressures, deviate from this behavior. Their responses can be modeled with the van der Waals equation: nRT V-nb Where a and b are material constants. For CO₂ a 3.5924 L'atm/mol², and b=0.04267 L/mol. Calculate P from both equations for CO₂ gas with 40 values of V between 0.01 and 1.5 and display the results in: 1- Three-column table where the values of Vand both P are displayed in the first, second, and third columns, respectively. 2-Plot V versus both P in two different plots in the same figure with a solid line, black color, with circle marker. Add a title, labels, and the grid to the plot. Make all texts bold with font size of 13. Take T=298K and n=3 moles. nº a + √² P