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Show the following: 9. av т дт. = nR Use the relationship between the slopes of...
Show the following: 7 (9), C7), = nR Use the relationship between the slopes of S...
Show the following: 7 (9), C7), = nR Use the relationship between the slopes of S vs T plots at constant V and P and the Maxwell relations.
Section IV 1 (av vap 1 and isothermal compressibility KT use the 1. Knowing expansion coefficient...
Section IV 1 (av vap 1 and isothermal compressibility KT use the 1. Knowing expansion coefficient a T Maxwell relations to justify the following equations: (a) The Joule coefficient is Ay Justify t,Cy p-aT/Kr. T (b) Justify the thermodynamic equation of state tr -p. av ан Justify Hr=-T T +V (c) The isothermal Joule-Thomson coefficient is ur
1.show the relationship between input Vs and output Vo as a function and calculate the voltage...
1.show the relationship between input Vs and output Vo as a
function and calculate the voltage gain and time constant
2.Experiment with the circuit in Matlab to find the Vo and time
constant.
3.Experiment with the circuit in Pspice to find the Vo and time
constant.
P= 5012 R= 2012 + + Vs = 2 + 2cos(2000) + V L = 1 mH
calculate the % difference between the two ratios from question 4. Show work in the space...
calculate the % difference between the two ratios from
question 4. Show work in the space provided.
correction value, Ve, to both of them. Then record the 6. Then repeat the process for all5 runs, and then calculate the average values of V, P, and T. Table 2 (10 points) V: (mL) Т-АК) Vi(mL) 21, S P-(kPa) 1ay.a 133.4 J3x.2 139-1 133-2 P:(kPa) T: (K) Run 1 2৭০.३ 2१७.८ 129.3 2१3.२ 2 93.3 Run 2 40 40 21-9 128.C 133.0...
The partition function at constant V, T is the sum of Boltzmann factors where the sum is over independent states, . Week #10's Lesson showed that Z is related to two state functions, U and F F=-k...
The partition function at constant V, T is the sum of Boltzmann factors where the sum is over independent states, . Week #10's Lesson showed that Z is related to two state functions, U and F F=-kT lnZ Using these two relations, derive the relationships between Z and the following state functions and C (a) Entropy: S k In Z + kT (oln Z/oT)v (b) Pressure: P- kT (oln ZƠVr (d) Gibbs Free Energy: G-kTInZ + kTV(OlnZ/aV)T (e) Heat Capacity:...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for an ideal gas at a given temperature T, the chemical potential difference between an arbitrary pressure, P, and a reference pressure, Po, is given by u(P) – u(Po) = kbT In (P/Po). (c) For the case of an incompressible liquid, the volume per particle, v = V/N, is independent of the pressure; show that in this case, one has u(P) – ”(Po) = v...
3.0, Radial Flow between Concentric Spheres Consider an isothermal, incompressible fluid flowing radially between t...
3.0, Radial Flow between Concentric Spheres Consider an isothermal, incompressible fluid flowing radially between two concentric porous spherical shells. (See Fig. 3.0.) Assume stecady laminar flow withu- ul) Direction of flow flow between concentric porous spheres. Fig. 10. Radial Note that here the velocity is not assumed zero at the solid surfaces. Show by use of the cquation of continuity that a. (3.0- where y is a constant. b. Show by use of the equations of motion that the pressure...
The following Minitab display gives information regarding the relationship between the body weight of a child...
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8408 0.4148 2.06 0.84 Weight 0.39836 0.02978 13.52 0.000 S = 0.517508 R-Sq = 96.8% (a) Write out the least-squares equation. y hat = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child...
The following Minitab display gives information regarding the relationship between the body weight of a child...
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8516 0.4148 2.06 0.84 Weight 0.41294 0.02978 13.52 0.000 S = 0.517508 R-Sq = 96.8% (a) Write out the least-squares equation. (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)...
Use your knowledge of the relationship between spectral density and autocorrelation function in order to answer the following questions. Show your work for full credit. Determine the spectral density...
Use your knowledge of the relationship between spectral density and autocorrelation function in order to answer the following questions. Show your work for full credit. Determine the spectral density of a process with autocorrelation function Rx(t) = 3e-2t a) Determine the spectral density of a process with autocorrelation function Rx(t)-2 sinc(0.51) b) c) Determine the autocorrelation function of a process with spectral density Sx (f) 2 sinc2(f/2) 12 Determine the autocorrelation function ofa process with spectral density Sx(a)-A+ d)
Use...
Show the following: 7 (9), C7), = nR Use the relationship between the slopes of S vs T plots at constant V and P and the Maxwell relations.
Section IV 1 (av vap 1 and isothermal compressibility KT use the 1. Knowing expansion coefficient a T Maxwell relations to justify the following equations: (a) The Joule coefficient is Ay Justify t,Cy p-aT/Kr. T (b) Justify the thermodynamic equation of state tr -p. av ан Justify Hr=-T T +V (c) The isothermal Joule-Thomson coefficient is ur
1.show the relationship between input Vs and output Vo as a
function and calculate the voltage gain and time constant
2.Experiment with the circuit in Matlab to find the Vo and time
constant.
3.Experiment with the circuit in Pspice to find the Vo and time
constant.
P= 5012 R= 2012 + + Vs = 2 + 2cos(2000) + V L = 1 mH
calculate the % difference between the two ratios from
question 4. Show work in the space provided.
correction value, Ve, to both of them. Then record the 6. Then repeat the process for all5 runs, and then calculate the average values of V, P, and T. Table 2 (10 points) V: (mL) Т-АК) Vi(mL) 21, S P-(kPa) 1ay.a 133.4 J3x.2 139-1 133-2 P:(kPa) T: (K) Run 1 2৭০.३ 2१७.८ 129.3 2१3.२ 2 93.3 Run 2 40 40 21-9 128.C 133.0...
The partition function at constant V, T is the sum of Boltzmann factors where the sum is over independent states, . Week #10's Lesson showed that Z is related to two state functions, U and F F=-kT lnZ Using these two relations, derive the relationships between Z and the following state functions and C (a) Entropy: S k In Z + kT (oln Z/oT)v (b) Pressure: P- kT (oln ZƠVr (d) Gibbs Free Energy: G-kTInZ + kTV(OlnZ/aV)T (e) Heat Capacity:...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for an ideal gas at a given temperature T, the chemical potential difference between an arbitrary pressure, P, and a reference pressure, Po, is given by u(P) – u(Po) = kbT In (P/Po). (c) For the case of an incompressible liquid, the volume per particle, v = V/N, is independent of the pressure; show that in this case, one has u(P) – ”(Po) = v...
3.0, Radial Flow between Concentric Spheres Consider an isothermal, incompressible fluid flowing radially between two concentric porous spherical shells. (See Fig. 3.0.) Assume stecady laminar flow withu- ul) Direction of flow flow between concentric porous spheres. Fig. 10. Radial Note that here the velocity is not assumed zero at the solid surfaces. Show by use of the cquation of continuity that a. (3.0- where y is a constant. b. Show by use of the equations of motion that the pressure...
Use your knowledge of the relationship between spectral density and autocorrelation function in order to answer the following questions. Show your work for full credit. Determine the spectral density of a process with autocorrelation function Rx(t) = 3e-2t a) Determine the spectral density of a process with autocorrelation function Rx(t)-2 sinc(0.51) b) c) Determine the autocorrelation function of a process with spectral density Sx (f) 2 sinc2(f/2) 12 Determine the autocorrelation function ofa process with spectral density Sx(a)-A+ d)
Use...
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