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12 Nov 2019



The figure is a PV diagram for a reversible heat engine in which1.0 mol of argon, a nearly ideal monatomic gas, is initially at STP(point a). Points b and c are on an isotherm at T = 423 K. Processab is at constant volume, process ac at constant pressure.

What is the efficiency of this engine?

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Beverley Smith
Beverley SmithLv2
15 Feb 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1. An ice cube at 0.0°C is slowly melting. What is thechange in theice cube’s entropy for each 1.00 g of ice thatmelts?


2. A reversible engine with an efficiency of 30.0% has TC=310.0 K. (a) What is TH? (b) How much heat is exhausted forevery0.100 kJ of work done?

3.A heat engine takes in 125 kJ of heat from a reservoir at815K and exhausts 82 kJ to a reservoir at 293 K. (a) What istheefficiency of the engine? (b) What is the efficiency of anidealengine operating between the same two reservoirs?

4.A monatomic ideal gas follows the cyclic process shown inthefigure. The temperature of the point at the bottom left ofthetriangle is 470.0 K. (a) How much net work does this engine dopercycle? (b) What is the maximum temperature of this engine? (c)Howmany moles of gas are used in this engine?

A heat engine consists of two isothermal paths (ab withTH = 1000 K and cd with TL = 300 K)and two isochoric paths (bc and da). Assume thatthe working substance is 2 moles of an ideal monatomic gas. Thework done by an ideal gas along sothermal paths can be calculatedusing the formula W = nRT ln(Vfinal/Vinitial) where T is the constanttemperature along the isotherm and Vfinal(Vinitial) is the volume of the gas in the final(initial) state. Using the first law of thermodynamics, Eq. (??),and the formula for heat during constant volume processes, (Q =nCv ΔT) determine the following:

Wab Qab

Wbc Qbc

Wcd Wcd

Wda Qda

1. An ideal gas is used as theworksubstance for a heat engine cycle shown intheTemperature-versus-Volume diagram. The gas iscompressedadiabatically from 6.40 l at C to 3.90l at A.The gas then expands isothermally at 250 K while itdoes externalwork between A to B. The gas is then cooled at aconstant volumebetween B and C. If there is 9.80 moles of idealdiatomic gas forwhich cv = 5/2 R and cp =7/2R:

(A)Sketch this cyclic process on a P-versus-V diagram, anddeterminethe gas' pressure at the point A, B, and C. Also,determine thelowest temperature that the gas reaches.
(B)Calculate the heat flow during all portion of the cycle, andthenet heat absorbed by the engine
(C)Calculate the external work done by the engine during theABportion of the cycle and the work done on the gas to compressitadiabatically from C back to its pressure and temperature A.Whatis the net work done the engine eachcycle? (D)Calculate the thermal efficiency of this heat engine and themaximumpossible efficiency that a heat engine could have thatoperatedbetween the highest and lowest operating temperature ofthisengine.
(E)Finally, determine if this engine is a reversible enginebycalculating the net change in entropy of the working gasthroughoutone cycle.

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