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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 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, 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, 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. pV T One can see that if the amount of aas remains Figure ЗРО 2po Po 51 Vo 6 2V 3V < 1 of 1 V A W = 2po Vo Submit ✓ Correct ▼ Part D Previous Answers Calculate the work W done by the gas during process 1-3-6. Express your answer in terms of po and Vo. W = 1 1 119225 Templates Symbols undo redo reset keyboard shortcuts ΑΣΦΑ / Submit Request Answer Part E Complete previous part(s) Part F Complete previous part(s) Part G Complete previous part(s) ! L (
- 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 ManProblem 1 The fundamental equation of thermodynamics for a system is given by G = NRT--In(T)+ In(o) where G is Gibbs free energy, N is the number of moles of chemical substance, R is gas constant, T temperature, In is the natural log function, P is pressure. Please derive an expression each for the following: is a. Entropy s as a function of temperature T, pressure p, and number of moles N. b. Volume V as a function of temperature T, pressure p, and number of moles N. c. Helmholtz free energy as a function of temperature T, pressure p, and number of moles N.What is the relationship between volume and temperature if the number of molecules and the pressure is held constant? (use the highlight tool to choose) I. Directly proportional il. Inverse proportional Sketch a graph that represents this relationshin (Do this on par
- Hi, could I get some help with this macro-connection physics problem involving moles and the Ideal Gas Law? The set up is: How many moles are there in a cubic meter of an ideal gas at 100 degree celsius (C) to 4 digits of precision with a pressure of 0.25 atm, assuming 1 atm = 101325 N/m2 with kB = 1.38e-23 J/K and NA = 6.022e23? Thank you.2. We have derived the following equation for the rate of heating of the atmosphere. Only the first term on the right was explained. After reviewing the basics of thermodynamics, you are in a position to explain the second term. Show the steps for deriving the last term in the equation. Speculate why it of interest to change from dependence in z to dependence on p? dT 1 dF 8 dF not net dt C,p dz C, dpSuppose that the fundamental equation for a simple gas is as follows. S = Ns, + NR In T. V. where so, To, c, and Vo are all arbitrary constants.