Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321766182
Author: Thomas Engel, Philip Reid
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 3.17NP
Interpretation Introduction
Interpretation:
Using equation
Concept Introduction :
The change in pressure with respect to temperature at constant temperature is represented as follows:
Here,
k = Isothermal compressibility
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Investigate the dependence of pV on V for real gases.
(a) Write expressions for dV and dp given that V is a function of p and T and p is a function of V and T. (b) Deduce expressions for d ln V and d ln p in terms of the expansion coefficient and the isothermal compressibility.
Hello, I understand that cp for diatomic ideal gas is 7/2R. How do I find the same for a gas like carbon dioxide?
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
Knowledge Booster
Similar questions
- Derive the work of reversible isothermal compression of a van der Waals gas. How does it compare to the work needed to compress the ideal gas in the limit of (a) low pressure, and (b) high pressure? Calculate the work done by a sample of Ar of mass 7.60 g that initially occupies 1.750 dm3 at 350 K, and expands reversibly and isothermally by 0.350 dm3 . Assume that argon obeys the van der Waals equation of state with a = 1.373 Pa m6 mol−2 and b = 3.200 × 10−5 m3 mol−1 . Compare to the corresponding value obtained in the previous problem for an ideal gas.arrow_forwardCompute for Delta U, Delta H and W if 5 moles of an ideal diatomic gas undergoes an isochoric processes (V = k) whose Cv = (5 / 2) R and Cp = (7/ 2) R from T1 = 273.15 K to T2 = 298.15 K.arrow_forwardCalculate the molar heat capacity at constant pressure (Cp) for a diatomic H2 gas(y = 1.41) with molar heat capacity at constant volume (Cv) of 20.42 J/mol-K?arrow_forward
- For a van der Waals gas, π = a/(Vm.Vm)2 . Calculate ΔUm for the isothermal expansion of nitrogengas from an initial volume of 1.00 dm3 to 24.8 dm3 at 298K. What are the values of q and w?arrow_forward4) Consider an adyabatic expansion of the ideal single-atom gas. (a) Find dT/dV differential equality by obtaining dQ = 0 in the first law. (b) Resolve the dT/dV differential equality for the adyabatic condition. ( V Ta =constant SHOW IT). (c)Using the ideal gas law,, p Vg =constant Show it and find garrow_forwardRearrange 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.arrow_forward
- A sample consisting of 2.00 mol of perfect gas molecules, for which CV,m = 5/2R, initially at p1 = 111 kPa and T1 = 277 K, is heated reversibly to 356 K at constant volume. Calculate the final pressure, ΔU, q, and w.arrow_forwardP2D.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.arrow_forwardWhat would be the final volume occupied by 1.0 mol of an ideal gas initially at 0°C and 1.0 bar if Q = 1000J during a reversible isothermal expansion?arrow_forward
- A particular substance obeys the following equation of state: P2 (V bar) = - DT where D is a constant. Derive an expression for the cubic expansion coefficient, alpha, in terms that do not involve the molar volume for this substance. Please show work.arrow_forwardCalculate the final pressure of a sample of water vapour that expands reversibly and adiabatically from 87.3 Torr and 500 cm3 to a final volume of 3.0 dm3. Take (gamma) γ = 1.3. ANs in t0rrarrow_forwardCalculate the work done during the isothermal reversible expansion of a gas that satisfies the virial equation of state (eqn 1C.3b) written with the first three terms. Evaluate (a) the work for 1.0 mol Ar at 273 K (for data, see Table 1C.3) and (b) the same amount of a perfect gas. Let the expansion be from 500 cm3 to 1000 cm3 in each case.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,