Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321766182
Author: Thomas Engel, Philip Reid
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 5, Problem 5.43NP
An ideal gas sample containing 1.75 moles for which
- It is expanded reversibly and adiabatically until the volume triples.
- It is reversibly heated at constant volume until T increases to 275 K.
- The pressure is increased in an isothermal reversible compression until
Calculate q, w,
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose that attractions are the dominant interaction between gas molecules, and the equation of state is p = nRT/V – n2a/V2.
Determine the work (W(non-ideal gas)) of reversible, isothermal expansion of such a gas from initial volume V (initial) = 20.0 L to final volume V(final) = 40.0 L if n = 2.00 mol, T = 300 K, and a = 3.621 atm-L2/mol2. Watch your units.
Determine the work (W(ideal gas) of reversible, isothermal expansion of an ideal gas from initial volume V (initial) = 20.0 L to final volume V(final) = 40.0 L if n = 2.00 mol and T = 300 K.
Show the difference W(non-ideal) – W(ideal). If all your calculations are done correctly, this result shows you the effect of attractive interaction between gas particles on the work done by the system.
A 1.65 mole sample of an ideal gas for which Cv, m = 3/2 R undergoes the following two-step process: (a) From an initial state of the gas described by T = 14.5 oC and P = 2x104 Pa, the gas undergoes isothermal expansion against a constant external pressure of 1.0x104 Pa until the volume has doubled. (b) Then the gas is cooled to constant volume. The temperature drops to -35.6 oC. Calculate q, w, ΔH, ΔU for each step and for the overall process.
gas undergoes an adiabatic expansion from 10
−
3
m
3
to 8
×
10
−
3
m
3
. The adiabatic line
for the gas is given by
P
3
V
5
=
C
(C is a constant).
(a) Calculate the reversible work performed along the adiabatic line if the initial pressure
is 10
5
P a
and the initial volume = 10
−
3
m
3
.
(b) What is the value of the constant
C
? What is the unit of
C
?
(c) The gas reaches the final state in a two step process. An expansion at a constant
initial pressure to the final volume followed by a decrease in pressure to the final volume
8
×
10
−
3
m
3
. What is the reversible work and heat in this process?
Chapter 5 Solutions
Thermodynamics, Statistical Thermodynamics, & Kinetics
Ch. 5 - Under what conditions is S0 for a spontaneous...Ch. 5 - Why are Sfustion and Svaporization always...Ch. 5 - An ideal gas in thermal contact with the...Ch. 5 - Prob. 5.4CPCh. 5 - Prob. 5.5CPCh. 5 - You are told that S=0 for a process in which the...Ch. 5 - Under what conditions does the equality S=H/T...Ch. 5 - Is the following statement true or false? If it is...Ch. 5 - Prob. 5.9CPCh. 5 - One Joule of work is done on a system, raising its...
Ch. 5 - Prob. 5.11CPCh. 5 - An ideal gas undergoes an adiabatic expansion into...Ch. 5 - When a saturated solution of a salt is cooled, a...Ch. 5 - Prob. 5.14CPCh. 5 - Prob. 5.15CPCh. 5 - Prob. 5.16CPCh. 5 - Why is the efficiency of a Carnot heat engine the...Ch. 5 - Two vessels of equal volume, pressure and...Ch. 5 - Solid methanol in thermal contact with the...Ch. 5 - Can incandescent lighting be regarded as an...Ch. 5 - The Chalk Point, Maryland, generating station...Ch. 5 - An electrical motor is used to operate a Carnot...Ch. 5 - An air conditioner is a refrigerator with the...Ch. 5 - Prob. 5.5NPCh. 5 - The average heat evolved by the oxidation of...Ch. 5 - Prob. 5.9NPCh. 5 - The maximum theoretical efficiency of an internal...Ch. 5 - Prob. 5.11NPCh. 5 - Prob. 5.12NPCh. 5 - Prob. 5.13NPCh. 5 - Prob. 5.14NPCh. 5 - Prob. 5.15NPCh. 5 - Prob. 5.16NPCh. 5 - Prob. 5.17NPCh. 5 - Prob. 5.18NPCh. 5 - Prob. 5.19NPCh. 5 - Prob. 5.20NPCh. 5 - Prob. 5.21NPCh. 5 - Prob. 5.22NPCh. 5 - Prob. 5.23NPCh. 5 - Prob. 5.24NPCh. 5 - Prob. 5.25NPCh. 5 - Prob. 5.26NPCh. 5 - Under anaerobic conditions, glucose is broken down...Ch. 5 - Prob. 5.28NPCh. 5 - Prob. 5.29NPCh. 5 - Prob. 5.30NPCh. 5 - Prob. 5.31NPCh. 5 - Calculate Ssurroundings and Stotal for the...Ch. 5 - A refrigerator is operated by a 0.25-hp...Ch. 5 - Prob. 5.34NPCh. 5 - Between C and 100C, the heat capacity of Hg(l) is...Ch. 5 - Prob. 5.36NPCh. 5 - Prob. 5.37NPCh. 5 - Prob. 5.38NPCh. 5 - Prob. 5.39NPCh. 5 - Prob. 5.40NPCh. 5 - Prob. 5.41NPCh. 5 - Prob. 5.42NPCh. 5 - An ideal gas sample containing 1.75 moles for...Ch. 5 - Prob. 5.44NPCh. 5 - Prob. 5.45NP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- What is the finaltemperature of0.122 mole ofmonatomic ideal gas that performs 75J of work adiabatically if the initial temperature is 235C?arrow_forwardDefine isobaric,isochoric, isenthalpic,and isothermal. Can achangein a gaseous system be isobaric, isochoric,and isothermal at the same time? Why or why not?arrow_forwardCalculate the work for the isothermal, reversible compressionof 0.245 moleof an idealgas going from 1.000L to 1.00 mL if the temperature were 95.0C.arrow_forward
- a) Suppose that attractions are the dominant interaction between gas molecules, and the equation of state is p = nRT/V – n2a/V2. Determine the work (W(non-ideal gas)) of reversible, isothermal expansion of such a gas from initial volume V (initial) = 20.0 L to final volume V(final) = 40.0 L if n = 2.00 mol, T = 300 K, and a = 3.621 atm-L2/mol2. Watch your units. (b) Determine the work (W(ideal gas) of reversible, isothermal expansion of an ideal gas from initial volume V (initial) = 20.0 L to final volume V(final) = 40.0 L if n = 2.00 mol and T = 300 K. (c) Show the difference W(non-ideal) – W(ideal). If all your calculations are done correctly, this result shows you the effect of attractive interaction between gas particles on the work done by the system.arrow_forwardConsider a system consisting of 1.5 mol CO2 (g), initially at 15 C and 9.0 atm and confined to a cylinder of cross-section 100.0 cm², The sample is allowed to expand adiabatically against an external pressure of 1.5 atm until the piston has moved outwards through 15 cm. Assume that carbon dioxide may be considered a perfect gas with Cr,m = 28.8 J K'mol', and calculate (a) q, (b) w, (c) AU, (d) AT, (e) AS.arrow_forwardA sample consisting of 2.80 mol of diatomic perfect gas molecules at 250 K is compressed adiabatically until its temperature reaches 300 K. Given that Cy= 27.5 J K-1 mol-1, calculate q, w, AU, AH, and AS.arrow_forward
- Suppose that attractions are the dominant interactions between gas molecules, and the equation of state is p = nRT/V − n2a/V2. Derive an expression for the work of reversible, isothermal expansion of such a gas. Compared with a perfect gas, is more or less work done on the surroundings when it expands?arrow_forwardA sample of 3.0 moles of an ideal gas at 200 K and 200.0 kPa is compressed reversibly and adiabatically until the temperature reaches 250 K. Given the molar heat capacity at constant volume is 27.5 J K-1 mol-1, calculate q, w, delta U, delta H, the final pressure and the final volume. [0 J; 1.87 kJ; 1.87 kJ; 3.1112 kJ]arrow_forwardThe constant-volume heat capacity of a gas can be measured by observing the decrease in temperature when it expands adiabatically and reversibly. The value of γ = Cp/CV can be inferred if the decrease in pressure is also measured and the constant-pressure heat capacity deduced by combining the two values. A fluorocarbon gas was allowed to expand reversibly and adiabatically to twice its volume; as a result, the temperature fell from 298.15 K to 248.44 K and its pressure fell from 202.94 kPa to 81.840 kPa. Evaluate Cp and Cvarrow_forward
- The constant-volume heat capacity of a gas can be measured by observing the decrease in temperature when it expands adiabatically and reversibly. The value of γ = Cp/CV can be inferred if the decrease in pressure is also measured and the constant-pressure heat capacity deduced by combining the two values. A fluorocarbon gas was allowed to expand reversibly and adiabatically to twice its volume; as a result, the temperature fell from 298.15 K to 248.44 K and its pressure fell from 202.94 kPa to 81.840 kPa. Evaluate Cp,m.arrow_forwardA sample of 3.0 moles of an ideal gas at 200 K and 200.0 kPa is compressed reversibly and adiabatically until the temperature reaches 250 K. Given the molar heat capacity at constant volume is 27.5 J K-1 mol-1, calculate q, w, delta U, delta H, the final pressure and the final volume. the correct answers are 0 J; 1.87 kJ; 1.87 kJ; 3.1112 kJ but I am getting a different answers insteadarrow_forwardKnowing that the molar heat capacity at constant pressure of CO₂ has the form Cp,m = (a + b + c/T²) J mol-¹K-¹, where a= 44.22, b= 8.79 x 10-³ K-¹, and c= -8.62 x 105 K 2,calculate how much heat can absorb 1.5 moles of this gas when the temperature is increased from 25°C to 150°C. NOTE: Give your answer in kJ mol-1arrow_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,
Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
Principles of Modern Chemistry
Chemistry
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:Cengage Learning
The Laws of Thermodynamics, Entropy, and Gibbs Free Energy; Author: Professor Dave Explains;https://www.youtube.com/watch?v=8N1BxHgsoOw;License: Standard YouTube License, CC-BY