Learning Goal:To understand the meaning and the basic applicationsof pV diagrams for an ideal gas.As you know, the parameters of an ideal gas aredescribed by the equationPV = nRT,where p is the pressure of the gas, V is the volume ofthe gas, n is the number of moles, R is the universalgas constant, and I is the absolute temperature of thegas. It follows that, for a portion of an ideal gas,PV = constant.pVTOne can see that if the amount of aas remainsFigureЗРО2poPo51Vo62V 3V< 1 of 1VAW = 2po VoSubmit✓ Correct▼ Part DPrevious AnswersCalculate the work W done by the gas during process 1-3-6.Express your answer in terms of po and Vo.W =11119225Templates Symbols undo redo reset keyboard shortcutsΑΣΦΑ /SubmitRequest AnswerPart E Complete previous part(s)Part F Complete previous part(s)Part G Complete previous part(s)!L (

D) The work done during process 1-3-6 can be calculated by the finding the areas of triangle 1-5-6…

Learning 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 Figure 3po 2po Po 5 Vo 6: 2V 3V V 1 of 1 > W = 2po Vo Submit Part D Correct W = Previous Answers Calculate the work W done by the gas during process 1-3→6. Express your answer in terms of po and Vo. r Templates Symbols undo redo reset keyboard shortcuts help L ( Submit Request Answer Part E Complete previous part(s) Part F Complete previous part(s) Part G Complete previous part(s)

Learning 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 Figure 3po 2po Po 5 Vo 6: 2V 3V V 1 of 1 > W = 2po Vo Submit Part D Correct W = Previous Answers Calculate the work W done by the gas during process 1-3→6. Express your answer in terms of po and Vo. r Templates Symbols undo redo reset keyboard shortcuts help L ( Submit Request Answer Part E Complete previous part(s) Part F Complete previous part(s) Part G Complete previous part(s)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 71PQ

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Learning 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 I 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 aas remains Figure ЗРО 2po Po Vo 4 6 2V 3V V 1 of 1 ▼ Calculate the work W done by the gas during process 1-3→6. Express your answer in terms of po and Vo. W = 4po Vo Submit ✓ Correct Part E Calculate the work W done by the gas during process 2→6. Express your answer in terms of po and Vo. VE ΑΣΦ W = Previous Answers Submit Provide Feedback Request Answer Part F Complete previous part(s) Part G Complete previous part(s) ?
Learning 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, 72 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, 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 pV 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. 3po In this problem, you will be asked…
Learning 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, Figure 3po 2po Po pV T 51 = constant. 6: Vo 2V 3V V 1 of 1 ▼ Calculate the work W done by the gas during process 1-2-6-51. Express your answer in terms of po and Vo. W = 4po Vo Submit ✓ Correct This result can be obtained either by calculating the area of the region 1265 or by adding the amounts of work done by the gas during each process of the cycle. The latter method helps verify that the net work done by the gas is, indeed, positive. As discovered earlier, The work W15621 done during a process 1-5-6-2-1 is equal to -W12651, the work done during the reverse process 1-2 →65 →1. Part G…
Learning 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, 12 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, 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. pV In this problem, you will…
Learning 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 I is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, Figure 3po 2po Po pV T 51 Vo = constant. 6 2V 3V V Submit ✓ Correct No work is done during a process, if the gas does not experience a change in volume. The absolute value of the work done by the gas during a cycle (a process in which the gas returns to its original state) equals the area of the loop corresponding to the cycle. One must be careful, though, in judging whether the work done by the gas is positive or negative. One way to determine the total work is to calculate directly the work done by the gas during each step for the cycle and then add the results with their respective…
Learning 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, 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. Figure pV T In this problem, you will be…
Learning 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, 72 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. T 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. In this problem, you will be asked a…
Learning Goal: To understand the ideal gas law and be able to apply it to a wide variety of situations. The absolute temperature T, volume V, and pressure p of a gas sample are related by the ideal gas law, which states that pV nRT. Here is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing. In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and T must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout this tutorial as -273°C). If p is in pascals and Vis in cubic meters, use R 8.3145 J/(mol-K). If p is in atmospheres and V is in liters, use R = 0.08206 L-atm/(mol-K) instead. Part A A gas sample enclosed in a rigid metal container at room…
Learning Goal: To understand the ideal gas law and be able to apply it to a wide variety of situations. The absolute temperature T, volume V, and pressure P of a gas sample are related by the ideal gas law, which states that pV=nRT. Here is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing. In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and T must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout this tutorial as -273°C). If p is in pascals and V is in cubic meters, use R = 8.3145 J/(mol-K). If p is in atmospheres and V is in liters, use R 0.08206 L atm/(mol-K) instead. A gas sample enclosed in a rigid metal container at room temperature…
The Arhennius viscosity model describes how viscosity u depends on temperature 1: u = uo e E/RT 1 DVD DVD Here u is viscosity (Pa.s), I is the temperature (in "Kelvin), E is the activation energy (J mol¹), R is the universal gas constant (R = 8.3145 J mol¹¹ K¹) and U is a constant (Pa s). Ensure all your numerical answers are provided, accurate to 4 significant figures. Linearise this non-linear equation to allow the least squares fitting, i.e. write it in the form y = a + a₁x. Identify the independent (x) and dependent (y) variables and write the linearised equation in the answer boxes, clearly defining what ao and a₁ are equal to in terms of up, E and R. y: ao: a₁: X: IOHO OHO Man
Learning Goal: To understand the ideal gas law and be able to apply it to a wide variety of situations. The absolute temperature T, volume V, and pressure p of a gas sample are related by the ideal gas law, which states that PV = nRT Here n is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing. In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and I must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout this tutorial as -273° C). If p is in pascals and V is in cubic meters, use R = 8.3145 J/(mol-K). If p is in atmospheres and V is in liters, use R = 0.08206 L- atm/(mol-K) instead. A gas sample enclosed in a rigid metal container at room…
Learning Goal: To understand the ideal gas law and be able to apply it to a wide variety of situations. The absolute temperature T, volume V, and pressure p of a gas sample are related by the ideal gas law, which states that PV = nRT Here n is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing. In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and I must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout this tutorial as -273°C). If p is in pascals and V is in cubic meters, use R = 8.3145 J/(mol · K). If p is in atmospheres and V is in liters, use R = 0.08206 L atm/(mol-K) instead. Part A A gas sample enclosed in a rigid metal container at…