Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321766182
Author: Thomas Engel, Philip Reid
Publisher: Prentice Hall
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Chapter 3, Problem 3.7NP
Integrate the expression
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Assume N₂ behaves as perfect gas. It expands reversibly and adiabatically from Vi to Vf with the pressure change from pi to pf.
(a) Derive the temperature versus volume relationship and the pressure and volume relationship for this expansion.
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A sample of argon of mass 6.56 g occupies 18.5 dm3 at 305 K.(i) Calculate the work done when the gas expands isothermally against a constant external pressure of 7.7 kPa until its volume has increased by 2.5 dm3. (ii) Calculate the work that would be done if the same expansion occurred reversibly.
Calculate V−1(∂V/∂T)p,n for an ideal gas?
Chapter 3 Solutions
Thermodynamics, Statistical Thermodynamics, & Kinetics
Ch. 3 - Prob. 3.1CPCh. 3 - Prob. 3.2CPCh. 3 - Prob. 3.3CPCh. 3 - Prob. 3.4CPCh. 3 - Why can qv be equated with a state function if q...Ch. 3 - Prob. 3.6CPCh. 3 - Prob. 3.7CPCh. 3 - Prob. 3.8CPCh. 3 - Prob. 3.9CPCh. 3 - Why is qv=U only for a constant volume process? Is...
Ch. 3 - Prob. 3.11CPCh. 3 - Why are q and w not state functions?Ch. 3 - Prob. 3.13CPCh. 3 - What is the relationship between a state function...Ch. 3 - Prob. 3.15CPCh. 3 - Is the following statement always, never, or...Ch. 3 - Is the following statement always, never, or...Ch. 3 - Prob. 3.18CPCh. 3 - Prob. 3.19CPCh. 3 - Is the expression UV=T2T1CVdT=nT1T2CV,mdT only...Ch. 3 - Prob. 3.1NPCh. 3 - Prob. 3.2NPCh. 3 - Prob. 3.3NPCh. 3 - Prob. 3.4NPCh. 3 - Prob. 3.5NPCh. 3 - Prob. 3.6NPCh. 3 - Integrate the expression =1/VV/TP assuming that ...Ch. 3 - Prob. 3.8NPCh. 3 - Prob. 3.9NPCh. 3 - Prob. 3.10NPCh. 3 - Prob. 3.11NPCh. 3 - Calculate w, q, H, and U for the process in which...Ch. 3 - Prob. 3.13NPCh. 3 - Prob. 3.14NPCh. 3 - Prob. 3.15NPCh. 3 - Prob. 3.16NPCh. 3 - Prob. 3.17NPCh. 3 - Prob. 3.18NPCh. 3 - Prob. 3.19NPCh. 3 - Prob. 3.20NPCh. 3 - Prob. 3.21NPCh. 3 - Prob. 3.22NPCh. 3 - Derive the following relation, UVmT=3a2TVmVm+b for...Ch. 3 - Prob. 3.24NPCh. 3 - Prob. 3.25NPCh. 3 - Prob. 3.26NPCh. 3 - Prob. 3.27NPCh. 3 - Prob. 3.28NPCh. 3 - Prob. 3.29NPCh. 3 - Prob. 3.30NPCh. 3 - Prob. 3.31NPCh. 3 - Prob. 3.32NPCh. 3 - Prob. 3.33NPCh. 3 - Prob. 3.34NPCh. 3 - Derive the equation H/TV=CV+V/k from basic...Ch. 3 - Prob. 3.36NPCh. 3 - Prob. 3.37NPCh. 3 - Show that CVVT=T2PT2VCh. 3 - Prob. 3.39NP
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- Calculate the molar entropy of Ar under conditions of T=298K and V=24.5L. Use the ideal gas law to calculate the pressure of Ar.arrow_forwardCalculate AS (for the system) when the state of 2.00 mol diatomic perfect gas molecules, for which Cp,m = (7/2)R, is changed from 25 C and 1.50 atm to 135 C and 7.00 atm.arrow_forwardHow much work is done in blowing up a balloon from zero volume to a volume of 6.7 L, assuming that p = 1.00 bar and no work is required to stretch the rubber? (In reality, the work that goes into stretching the rubber is substantial.)arrow_forward
- The molar entropy of a sample of neon at 298 K is 146.22 J K−1 mol−1. The sample is heated at constant volume to 500 K; assuming that the molar constant-volume heat capacity of neon is 3/2 R, calculate the molar entropy of the sample at 500 K.arrow_forwardA sample of Ar of mass 8.30 g occupies 1.75dm3 at 330 K. (a) Calculate the work done when the gas expands isothermally against a constant external pressure of 1 bar until itsvolume has increased by 0.35 dm3 (b) Calculate the work that would be done if thesame expansion occurred reversiblyarrow_forwardCalculate the work of expansion accompanying the complete combustion of 10.0 g of sucrose (C12H22O11) to carbon dioxide and (a) liquid water, (b) water vapour at 20 °c when the external pressure is 1.20 atm.arrow_forward
- Use the equipartition principle to estimate the value of γ = Cp/CV for carbon dioxide. Do this calculation with and without the vibrational contribution to the energy. Which is closer to the experimental value at 25 °C?arrow_forwardOne mole of N2(g) occupies 5 L of volume at 300 K in a sealed cylinder. The gas behaves ideally in expanding isothermally to 10 L. Calculate w, ΔE and ΔH if the expansion proceeds (i) reversibly, (ii) irreversibly against an external pressure at 0.2 atm.arrow_forwardFind an expression for an ideal gas's (∂S/∂P)T. Then, given a sample containing 2.00 mol Ne (ideal gas) at 1.50 atm and 298 K, determine (∂S/∂P)T oarrow_forward
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