Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321766182
Author: Thomas Engel, Philip Reid
Publisher: Prentice Hall
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Textbook Question
Chapter 1, Problem 1.8CP
At sufficiently high temperatures, the van der Waals equation has the form
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P2D.2 Starting from the expression Cp − CV = T(∂p/∂T)V(∂V/∂T)p, use theappropriate relations between partial derivatives (The chemist’s toolkit 9 inTopic 2A) to show thatC CT V TV p( / )( / ) p VpT2− = ∂ ∂∂ ∂
Use this expression to evaluate Cp − CV for a perfect gas.
Calculate V−1(∂V/∂T)p,n for an ideal gas?
Rearrange the van der Waals equation of state, p = nRT/(V − nb) − n2a/V2(Topic 1C) to give an expression for T as a function of p and V (with n constant). Calculate (∂T/∂p)V and confirm that (∂T/∂p)V = 1/(∂p/∂T)V.
Chapter 1 Solutions
Thermodynamics, Statistical Thermodynamics, & Kinetics
Ch. 1 - Real walls are never totally adiabatic. Use your...Ch. 1 - The parameter a in the van der Waals equation is...Ch. 1 - Give an example based on molecule—molecule...Ch. 1 - Prob. 1.4CPCh. 1 - Prob. 1.5CPCh. 1 - The location of the boundary between the system...Ch. 1 - Prob. 1.7CPCh. 1 - At sufficiently high temperatures, the van der...Ch. 1 - Prob. 1.9CPCh. 1 - Prob. 1.10CP
Ch. 1 - Prob. 1.11CPCh. 1 - Prob. 1.12CPCh. 1 - Prob. 1.13CPCh. 1 - The mass of a He atom is less than that of an Ar...Ch. 1 - Prob. 1.15CPCh. 1 - Prob. 1.1NPCh. 1 - A compressed cylinder of gas contains 2.74103g of...Ch. 1 - Calculate the pressure exerted by Ar for a molar...Ch. 1 - A sample of propane C3H8 is placed in a closed...Ch. 1 - A gas sample is known to be a mixture of ethane...Ch. 1 - One liter of fully oxygenated blood can carry 0.18...Ch. 1 - Yeast and other organisms can convert glucose...Ch. 1 - A vessel contains 1.15 g liq H2O in equilibrium...Ch. 1 - Consider a 31.0 L sample of moist air at 60.C and...Ch. 1 - Prob. 1.10NPCh. 1 - Prob. 1.11NPCh. 1 - A rigid vessel of volume 0.400m3 containing H2 at...Ch. 1 - A mixture of oxygen and hydrogen is analyzed by...Ch. 1 - An athlete at high performance inhales 3.75L of...Ch. 1 - Devise a temperature scale, abbreviated G, for...Ch. 1 - Aerobic cells metabolize glucose in the...Ch. 1 - Prob. 1.17NPCh. 1 - A mixture of 2.10103g of O2, 3.88103mol of N2, and...Ch. 1 - Prob. 1.19NPCh. 1 - Prob. 1.20NPCh. 1 - An initial step in the biosynthesis of glucose...Ch. 1 - Prob. 1.22NPCh. 1 - Assume that air has a mean molar mass of 28.9gmol1...Ch. 1 - When Julius Caesar expired, his last exhalation...Ch. 1 - Calculate the number of molecules per m3 in an...Ch. 1 - Prob. 1.26NPCh. 1 - A mixture of H2 and NH3 has a volume of 139.0cm3...Ch. 1 - A sealed flask with a capacity of 1.22dm3 contains...Ch. 1 - A balloon filled with 11.50 L of Ar at 18.7C and 1...Ch. 1 - Carbon monoxide competes with oxygen for binding...Ch. 1 - The total pressure of a mixture of oxygen and...Ch. 1 - Suppose that you measured the product PV of 1 mol...Ch. 1 - Liquid N2 has a density of 875.4kgm3 at its normal...Ch. 1 - Calculate the volume of all gases evolved by the...Ch. 1 - Prob. 1.35NPCh. 1 - A glass bulb of volume 0.198 L contains 0.457 g of...Ch. 1 - Prob. 1.37NPCh. 1 - Prob. 1.38NPCh. 1 - Many processes such as the fabrication of...Ch. 1 - Rewrite the van der Waals equation using the molar...
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