B9] The figure below describes n moles of an ideal gas undergoing a Carnot cycle. (P.V) (i) () (P.V) (ii) (P.V.) (P.V) (iv) a) Is this Carnot cycle operating as a heat engine or as a refrigerator? Why? b) Which of the 4 stages labelled (i) to (iv) corresponds to a quasi-static adiabatic compression and which to an isothermal expansion? c) Show that the change in entropy of an ideal gas expanding isothermally from a volume Vow to a volume Vigh is given by Vhigh AS = nR In Vow d) Show that V4 Va V2 e) Write down expressions for the change in entropy of the gas at each stage of the Carnot cycle in the figure. What is the total change in entropy of the gas during the Carnot cycle?

B9] The figure below describes n moles of an ideal gas undergoing a Carnot cycle. (P.V) (i) () (P.V) (ii) (P.V.) (P.V) (iv) a) Is this Carnot cycle operating as a heat engine or as a refrigerator? Why? b) Which of the 4 stages labelled (i) to (iv) corresponds to a quasi-static adiabatic compression and which to an isothermal expansion? c) Show that the change in entropy of an ideal gas expanding isothermally from a volume Vow to a volume Vigh is given by Vhigh AS = nR In Vow d) Show that V4 Va V2 e) Write down expressions for the change in entropy of the gas at each stage of the Carnot cycle in the figure. What is the total change in entropy of the gas during the Carnot cycle?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Explain Adiabatic Processes for an Ideal Gas?

A: The first of law of thermodynamics can be expressed as below, Where dQ represents the change in…

Q: Calculate work made by 1.75 moles of ideal gas in the isothermal cycle shown in P-V diagram below.…

Q: Calculate the entropy change in one cycle(four steps) of a Carnot cycle involving an ideal gas IV…

Q: 1. A Carnot engine operates between reservoirs at 610 and 315 K. If the engine absorbs 75J per cycle…

A: Write the given values with the suitable variables. T1=610 KT2=315 KQA/cyc=75 J Here, T1, T2, and…

Q: Multiple thermodynamic paths are shown above. Assume an ideal gas in a piston/chamber scenario. For…

Q: A gas undergoes a thermodynamic cycle as shown. a) what is the work accomplished along path ca ? b)…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: As shown in the PV diagram below, the cycle goes in the order of states A-B-C-D, and the system is…

Q: 1. For an irreversible process for one mole of monatomic ideal gas in a piston-cylinder system with…

A: Solution attached in the photo

Q: Prove that the "cycle" consisting of only two adiabatic steps (reversible expansion and then…

A: To prove that the "cycle" consisting of only two adiabatic steps (reversible expansion and then…

Q: Problem 1) The figure below shows a thermodynamic cycle in the P-V diagram. a) Determine the amount…

Q: Determine whether the following statements about Cycles A through C are true or false. The…

A: We have to check whether the statements given are true or false.

Q: Equivalence of Carnot and Ideal gas Temperature Scale. Consider a Carnot engine working between…

Q: In the engine shown above, 0.213 moles of a monatomic ideal gas goes through the following…

Q: In an adiabatic free expansion, which of the following statement is correct? O the volume remains…

A: Answer:- no heat is transferred between a system and it's surrounding. Because An adiabatic…

Q: A certain gasoline engine is modeled as a monatomic ideal gas undergoing an Otto cycle, represented…

Q: A thief is trying to escape from a parking garage after completing a robbery, and the thief's car is…

A: Given Data : The speed of the thief's car is given as v = 12 ms. The distance of the thief's car…

Q: 3 Engine Cycle A D V An ideal engine operates with a perfect monatomic gas that has y = 4/3 in the…

A: Given: γ=43…

Q: Describe in your own words the operation of a diesel engine, and explain how it is estimated by the…

A: A diesel engine is a kind of gas powered motor that works by heating fuel through the high…

Q: A certain gasoline engine is modeled as a monatomic ideal gas undergoing an Otto cycle, represented…

Q: As shown in the PV diagram below, the cycle goes in the order of states A-B-C-D, and the system is…

A: Correct ans is 3,2=4,1 In process 3 workdone is negative dur to change in volume is negative In…

Q: 2. The shown P-V diagram describes a heat engine cycle using 0.25 moles of an ideal gas, with y =…

Q: The figure shows a PV diagram similar to the cycle of a Diesel engine. It consists of two adiabatic…

A: Given A PV diagram similar to a cycle of a diesel engine Given steps a→b is adiabaticb→c is…

Q: As shown in the PV diagram below, the cycle goes in the order of states A-B-C-D, and the system is…

A: We know that work done under constant pressure is W=P△V=P(Vf-Vi) We know that work done under…

Q: (a) How much work is done per cycle? (b) What is the temperature at B? (c) How much heat input is…

A: Since we answer up to three subparts, we will answer the first three. Please resubmit the question…

Q: 7. When analyzing the Carnot cycle, we found that for a reversible, adiabatic expansion of an ideal…

A: Specific heat at constant volume is given by Cv=32R, Initial temperature is 500K, let Initial volume…

Concept explainers

First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of energy. Energy transfer is something that we encounter in day-to-day life. Automobiles, chemical reactions, refrigerators, and power generators work on the basis of thermodynamic principles.

Question

B9] The figure below describes n moles of an ideal gas undergoing a
Carnot cycle.
(P.V.)
(ii)
(i)
(P,V)
(ii)
(P.V.)
(P,V.)
(iv)
V.
a) Is this Carnot cycle operating as a heat engine or as a refrigerator?
Why?
b) Which of the 4 stages labelled (i) to (iv) corresponds to a quasi-static
adiabatic compression and which to an isothermal expansion?
c) Show that the change in entropy of an ideal gas expanding
isothermally from a volume Vw to a volume Vhugh is given by
Viugh
AS = nR ln
d) Show that
V4
e) Write down expressions for the change in entropy of the gas at each
stage of the Carnot cycle in the figure. What is the total change in entropy of the
gas during the Carnot cycle?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: (a)

Step 2: (b)

Step 3: (c)

Step 4: (d)

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

In this question, we derive the entropy of an Ideal Gas. a) By considering a constant volume process, show that the First Law, dE dQ dW can be written as nCydT=dQ – dW. dV b) Using the Ideal Gas Law, show that this expression can be written as nCv dT dQ - nRT V. c) By dividing by T, and defining d.S of dQ T Tf AS = ff d = nCv In +nRln Ti = dQ as usual, show that the change in entropy, AS, can be written as:
Part (e) Calculate the change in the entropy of the gas in joules per kelvin.
P Example of calculation of work P = 1 Atm V%= 1 litre iii ii P V V,12 V In this cycle the system, which is an ideal monatomic gas, undergoes first isothermal (i) then adiabatic (ii) compression steps, each of which halve the volume, then returns to its starting point via first isothermal (iii) and then adiabatic (iv) expansions, each of which double the volume. How much work is done by the system during the cycle if P, is 1 atmosphere and V, =1 litre?
D) How much work does this engine do ln one cycle? 3- A gas is compressed at a constant pressure of 1.2 Pa from 0.008 m³ to 0.002 m3. In the process, 130 J of energy leaves the gas by heat. (a) What is the work done on the gas? (b) What is the change in its internal energy?
9 PM Thu Apr 29 Problem 1 Unanswered Consider n moles of a monatomic ideal gas that goes through the reversible cycle abca shown in the pV diagram. What is the change in internal energy AUin going from c to a along the curved path? 9 -PoVo A 13 B - PoVo 21 - PoVo 24 -PoVo 2po Po as Vo 4Vo
A certain gasoline engine is modeled as a monatomic ideal gas undergoing an Otto cycle, represented by the p-V diagram shown in the figure. The initial pressure, volume, and temperature are p1 = 1.05 × 105 Pa, V1 = 0.035 m3, and T1 = 290 K, respectively. a)The first step in the Otto cycle is adiabatic compression. Enter an expression for the work performed on the gas during the first step, in terms of V1, V2, and p1. b) Calculate the temperature of the gas, in kelvins, at the end of the first step. c)The fourth and last step in the Otto cycle is isochoric cooling to the initial conditions. Find the amount of heat, in joules, that is discharged by the gas during the fourth step.
Find the work for a system where temperature (T) is constant. (This is called an isothermal process) W = P(V₂ - Vf) W = 0 (V) W = P(V₁ - V₂) W = PV W = - PV) W = -nRT W = nRT W = nRT In W n(V) = nRT In