Learning Goal:To understand the meaning and the basic applications of PVdiagrams for an ideal gas.As you know, the parameters of an ideal gas are described bythe equationPV = nRT,where p is the pressure of the gas, V is the volume of thegas, n is the number of moles, R is the universal gasconstant, and T is the absolute temperature of the gas. Itfollows that, for a portion of an ideal gas,One can see that, if the amount of gas remains constant, it isimpossible to change just one parameter of the gas: At leastone more parameter would also change. For instance, if thepressure of the gas is changed, we can be sure that either thevolume or the temperature of the gas (or, maybe, both!) wouldalso change.To explore these changes, it is often convenient to draw agraph showing one parameter as a function of the other.Although there are many choices of axes, the most commonone is a plot of pressure as a function of volume: a pVdiagram.FigurepVTIn this problem, you will be asked a series of questionsrelated to different processes shown on a pV diagram (Figure1). They will help you become familiar with such diagramsand to understand what information may be obtained fromthem.3po2po= constant.Po5:46:Vo 2V 3V1 of 1Review | ConstantsOne important use for pV diagrams is in calculating work. The product pV has the units of Pa × m³ = (N/m²) · m³ ==N·m = J; in fact, theabsolute value of the work done by the gas (or on the gas) during any process equals the area under the graph corresponding to that process on the pVdiagram. If the gas increases in volume, it does positive work; if the volume decreases, the gas does negative work (or, in other words, work is beingdone on the gas). If the volume does not change, the work done is zero.The following questions may seem repetitive; however, they will provide practice. Also, the results of these calculations may be helpful in the final sectionof the problem.Part ACalculate the work W done by the gas during process 1-2.Express your answer in terms of po and Vo.ΨΕ ΑΣΦW =SubmitPrevious Answers Request AnswerX Incorrect; Try Again; 2 attempts remainingYour answer either contains an incorrect numerical multiplier or is missing one.Part B Complete previous part(s)Part C Complete previous part(s)Part D Complete previous part(s)Part E Complete previous part(s)Part F Complete previous part(s)?Part G Complete previous part(s)

Given, The parameters of an ideal gas is described by pV = nRT. Part A, During process 1→2, Pressure…

earning Goal: To understand the meaning and the basic applications of PV diagrams for an ideal gas. As you know, the parameters of an ideal gas are described by the equation PV = nRT, where p is the pressure of the gas, V is the volume of the gas, n is the number of moles, R is the universal gas constant, and T is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, PV = constant. One can see that, if the amount of gas remains constant, it is impossible to change just one parameter of the gas: At least one more parameter would also change. For instance, if the pressure of the gas is changed, we can be sure that either the volume or the temperature of the gas (or, maybe, both!) would also change. To explore these changes, it is often convenient to draw a graph showing one parameter as a function of the other. Although there are many choices of axes, the most common one is a plot of pressure as a function of volume: a pV diagram. Review One important use for pV diagrams is in calculating work. The product pV has the units of Pax m³ = (N/m²). m³ N·m = J; in fac absolute value of the work done by the gas (or on the gas) during any process equals the area under the graph corresponding to that proce diagram. If the gas increases in volume, it does positive work; if the volume decreases, the gas does negative work (or, in other words, worl done on the gas). If the volume does not change, the work done is zero. The following questions may seem repetitive; however, they will provide practice. Also, the results of these calculations may be helpful in th of the problem. ▼ Part A Calculate the work W done by the gas during process 1-2. Express your answer in terms of po and Vo. W = - ΑΣΦ VO ?

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter13: Temperature, Kinetic Theory, And The Gas Laws

Section: Chapter Questions

Problem 27PE: In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is...