Homework Answers
Add Answer to:
9. Using the Maxwell equation for Helmholtz free energy, derive the thermodynamic equation of state for ideal elastomers 9. Using the Maxwell equation for Helmholtz free energy, derive the th...
Derive the Maxwell equations for F (Helmholtz Free Energy) and G (Gibbs Free Energy) with “for all mathematical stages&#...
Derive the Maxwell equations for F (Helmholtz Free Energy) and G (Gibbs Free Energy) with “for all mathematical stages"? What is the condition of being a state function, and which of the parameters E (Internal energy), Q (Heat), W (Work), S (Entropy) are not the state function? Why is that?
2. (25 pts) Derive the (a) Maxwell relation for the Helmholtz Free Energy F=U-TS. Show ALL...
2. (25 pts) Derive the (a) Maxwell relation for the Helmholtz Free Energy F=U-TS. Show ALL steps and justifications in your derivation. Using your result in (a) comment on how (b) the entropy behaves for an isothermal expansion of an ideal gas. Finally, show the validity of the following equations (c) U = F-TOOF) -T2 and at (T) 01 (d) C =-1(
3. Derive the following relationship between the Helmholtz free energy F and the partition function Z for a system of N particles: (a) Starting with the thermodynamic definition F-U-TS, substitute th...
3. Derive the following relationship between the Helmholtz free energy F and the partition function Z for a system of N particles: (a) Starting with the thermodynamic definition F-U-TS, substitute the statistical mechanics results which give U and S in terms of occupation numbers n, state energies e and the most probable number of microstates t* to find, (b) Write out texplicitly in terms of occupation numbers using Stirling's approxima- tion (check the Lagrange multiplier derivation of the Boltzmann distribution)...
DERIVE MAXWELL EQUATION USING GAUSS LAW
DERIVE MAXWELL EQUATION USING GAUSS LAW
1. Determine the Helmholtz free energy (Tdependent) of a two state system. Let one state have...
1. Determine the Helmholtz free energy (Tdependent) of a two state system. Let one state have energy O and the other energy ε. Also, use this result to find the energy and entropy (0) of the system. Plot the entropy o versus t/€.
By considering the volume V and entropy S as the two independent variables in the thermodynamic equation dE = TdS−PdV , derive the Maxwell relation between the derivatives ∂T/ ∂V and ∂P/ ∂S .
By considering the volume V and entropy S as the two independent variables in the thermodynamic equation dE = TdS−PdV , derive the Maxwell relation between the derivatives ∂T/ ∂V and ∂P/ ∂S .
Solve Use the Ampere-Maxwell Equation (the last of the 4 Maxwell equations) to derive the wave...
Solve
Use the Ampere-Maxwell Equation (the last of the 4 Maxwell equations) to derive the wave equation for the magnetic field, using a plane wave in a vacuum propagating in the x-direction, as shown in the figure. The Ampere loop to evaluate is shown as well. Note: this problem is very similar to the one derived in class today for the wave equation for the electric field dieve.The mpere oop to evalustes inavacum propagating in the diedrie eave equation for...
Calculate the free energy changes at 25 degreeC using the following thermodynamic data: Calculate the free...
Calculate the free energy changes at 25 degreeC using the following thermodynamic data: Calculate the free energy changes at 25 degreeC using the following thermodynamic data:
1. Show that for a classical ideal gas, Q1 alnQ1 NK Hint: Start with the partition function for t...
1. Show that for a classical ideal gas, Q1 alnQ1 NK Hint: Start with the partition function for the classical ideal gas ( Q1) and use above equation to find the value of right-hand side and compare with the value of r we derive in the class. (Recall entropy you derived for classical gas) NK Making use of the fact that the Helmholtz free energy A (N, V, T) of a thermodynamic system is an extensive property of the system....
22–24. We can derive the Gibbs-Helmholtz equation directly from Equation 22.3la in the following way. Start...
22–24. We can derive the Gibbs-Helmholtz equation directly from Equation 22.3la in the following way. Start with (ag/aT), = -S and substitute for S from G = H – TS to obtain н (), Now show that the left side is equal to (a[G/T]/2T), to get the Gibbs-Helmholtz equation. Begin with the equality in the statement of the problem and substitute for S as suggested (from Equation 22.13): OG = -S= a1 р 09). -s= - * 9.-=- 1 la...
2. (25 pts) Derive the (a) Maxwell relation for the Helmholtz Free Energy F=U-TS. Show ALL steps and justifications in your derivation. Using your result in (a) comment on how (b) the entropy behaves for an isothermal expansion of an ideal gas. Finally, show the validity of the following equations (c) U = F-TOOF) -T2 and at (T) 01 (d) C =-1(
3. Derive the following relationship between the Helmholtz free energy F and the partition function Z for a system of N particles: (a) Starting with the thermodynamic definition F-U-TS, substitute the statistical mechanics results which give U and S in terms of occupation numbers n, state energies e and the most probable number of microstates t* to find, (b) Write out texplicitly in terms of occupation numbers using Stirling's approxima- tion (check the Lagrange multiplier derivation of the Boltzmann distribution)...
1. Determine the Helmholtz free energy (Tdependent) of a two state system. Let one state have energy O and the other energy ε. Also, use this result to find the energy and entropy (0) of the system. Plot the entropy o versus t/€.
Solve
Use the Ampere-Maxwell Equation (the last of the 4 Maxwell equations) to derive the wave equation for the magnetic field, using a plane wave in a vacuum propagating in the x-direction, as shown in the figure. The Ampere loop to evaluate is shown as well. Note: this problem is very similar to the one derived in class today for the wave equation for the electric field dieve.The mpere oop to evalustes inavacum propagating in the diedrie eave equation for...
Calculate the free energy changes at 25 degreeC using the following thermodynamic data: Calculate the free energy changes at 25 degreeC using the following thermodynamic data:
1. Show that for a classical ideal gas, Q1 alnQ1 NK Hint: Start with the partition function for the classical ideal gas ( Q1) and use above equation to find the value of right-hand side and compare with the value of r we derive in the class. (Recall entropy you derived for classical gas) NK Making use of the fact that the Helmholtz free energy A (N, V, T) of a thermodynamic system is an extensive property of the system....
22–24. We can derive the Gibbs-Helmholtz equation directly from Equation 22.3la in the following way. Start with (ag/aT), = -S and substitute for S from G = H – TS to obtain н (), Now show that the left side is equal to (a[G/T]/2T), to get the Gibbs-Helmholtz equation. Begin with the equality in the statement of the problem and substitute for S as suggested (from Equation 22.13): OG = -S= a1 р 09). -s= - * 9.-=- 1 la...
Most questions answered within 3 hours.
-
The denaturation of proteins can be described by the
equilibrium
F⇌U
where F and U represent...
asked 29 minutes ago -
Please answer what the maximum and minimum force is, and the
angle on the ion is...
asked 31 minutes ago -
implement a program that reads a number of rows and a symbol.
The program will draw...
asked 37 minutes ago -
Assume that when adults with smartphones are randomly selected,
45% use them in meetings or classes....
asked 41 minutes ago -
Determine the number of formula units of
Na2SO4 and moles of oxygen contained in 8.11
moles...
asked 51 minutes ago -
Explain in steps on the following code
What would be the output when executed
using System;...
asked 59 minutes ago -
Given the information in the table, which of the following
statements is CORRECT?
Stock A
Stock...
asked 57 minutes ago -
Write MARIE assembly language programs that do the following:
Write a program that inputs an integer...
asked 1 hour ago -
Explain an understanding of services and protocols.
Explain the job of DNS.
Explain the three email...
asked 1 hour ago -
(As soon as possible) Balance each of the following equations
according to the half-reaction method:
H2O2(aq)...
asked 1 hour ago -
A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented
horizontally....
asked 1 hour ago -
Inheritance pattern in BRCA 1
Describe the inheritance pattern of BRCA 1 Is it recessive or...
asked 1 hour ago