Using pV=NkT and dS = 0 with the fundamental entropy equation, show that S = Nk...
Using pV=NkT and dS = 0 with the fundamental entropy equation, show that S = Nk ln(V). Explain all steps. Think about the result (hint limits), explain why it must be wrong!
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Using pV=NkT and dS = 0 with the fundamental entropy
equation, show that S = Nk...
Positional Entropy: Starting from our equation S = kB ln W, we can work out the...
Positional Entropy: Starting from our equation S = kB ln W, we can work out the entropy associated with the simple position of molecules within a space. Let us assume we have a collection of N molecules, each one of volume Vm located within a volume V such that N*Vm << V. First, let us think about how many possible ways we can place one molecule within the volume V. There will be V/Vm possible locations. How many ways are...
8W (-1)+1 In this question, we will prove that - = In 2 a) Using the...
8W (-1)+1 In this question, we will prove that - = In 2 a) Using the power series for centered at 0, express ln(1 - x) as a power series S(x) centered at 0. Show your work. b) Show that the interval of convergence for S(x) is (-1,1). Explain why this does not show that S(-1) = ln(2). c) We now wish to show that S(-1) = ln(2). Let P(x) be the Nth Taylor polynomial of ln(1 - x) at...
The Sackur-Tetrode Equation gives the entropy of a sample of n moles of monatomic ideal gas...
The Sackur-Tetrode Equation gives the entropy of a sample of n moles of monatomic ideal gas as a function of its internal energy U and volume V S(U, V) = 5/2 n R + n R In (V/n N_A(4piM U/3nN^2_Ah^2)^3/2) In the equation, R is the gas constant, M is the molar mass, N_4 is Avogadro's number, and h is Plank's constant. The equation can be derived using S = k ln W and directly computing W, the number of...
Show that the integral equation (t) log(1 c(s) ds COS 10 Jo has a solution in C[0, 1. Justify your answer carefully. Hint: Use the contraction mapping theorem. You may need to work with a suitable su...
Show that the integral equation (t) log(1 c(s) ds COS 10 Jo has a solution in C[0, 1. Justify your answer carefully. Hint: Use the contraction mapping theorem. You may need to work with a suitable subset of ClO,1 rather than Co,. Identifying such a subset is part of the problem.
Show that the integral equation (t) log(1 c(s) ds COS 10 Jo has a solution in C[0, 1. Justify your answer carefully. Hint: Use the contraction mapping theorem. You...
Reduce the following equation using Boolean algebra and show all of your steps. 0 - A'B'C...
Reduce the following equation using Boolean algebra and show all of your steps. 0 - A'B'C + A'BC' + A'BC + ABC
a. Using the marginal condition in Equation (P -MC)( dQ/ dA) = 1 , show that...
a. Using the marginal condition in Equation (P -MC)( dQ/ dA) = 1 , show that an equivalent condition for the optimal level of advertising is (P - MC)Q/A = 1/EA, where EA = (∂Q/Q)/(∂A/A) is the elasticity of demand with respect to advertising. In words, the ratio of advertising spending to operating profit should equal EA. Other things being equal, the greater this elasticity, the greater the spending on advertising. b. Use the markup rule, (P - MC)/P =...
Help Please! Show all work Problem Set 10 CHEM 1252 October 4, 2019 Textbook Reading Assignment: 12.1-4 Additional P...
Help Please! Show all work
Problem Set 10 CHEM 1252 October 4, 2019 Textbook Reading Assignment: 12.1-4 Additional Practice Problems: 12.11,13,15,21,25,27,29,13,35,37 1. Choose the member of each pair with the higher entropy, and explain your answer. (a) 1 mol H2O(s) or 1 mol H20(1), both at 100 °C and 1 atm (b) 1 mol O2(e) or 1 mol O (g) under equivalent conditions (c) Ice at -20 °C or ice at -80 °C (d) 1 mol N2(g) at 0 °C...
For the table below, find the following: 0 0 13 Manually do the following steps using...
For the table below, find the following: 0 0 13 Manually do the following steps using the appropriate formula SHOW YOUR WORK Develop the estimated regression equation by using the formula for computing the values for b, and b, SHOW YOUR WORK" means wRITE the formula and create the columns as needed below follow the steps through. If you need more space below, create them by pressing ENTER Compute SSE, SST, and SSR using only Computing formulas. Compute the coefficient...
d. Show the algebraic steps in deriving equation (5) using equations (1) and (3). Please explain...
d. Show the algebraic steps in deriving equation (5) using
equations (1) and (3).
Please explain this very well.
When a string is stretched between two fixed points, the speed of the waves formed on it is given by the following equation. F (1) V= u Mass of the string per unit length or linear density of the string is given by U= m L (2) Using the general velocity, wavelength and frequency relationship for a wave and considering the...
plz print ur answer Question2 Consider the differential equation We saw in class that one solution is the Bessel functi...
plz print ur answer
Question2 Consider the differential equation We saw in class that one solution is the Bessel function (-1)" ( 2n+2 2+n)! 2) n=0 (a) Suppose we have a solution to this ODE in the form y = Σ。:0cmFn+r where 0. By considering the first term of this series show that r must satisfy r2-4=0(and hence that r = 2 or r=-2). (b) Show that any solution of the form y-must satisfy co c) From the theory about...
8W (-1)+1 In this question, we will prove that - = In 2 a) Using the power series for centered at 0, express ln(1 - x) as a power series S(x) centered at 0. Show your work. b) Show that the interval of convergence for S(x) is (-1,1). Explain why this does not show that S(-1) = ln(2). c) We now wish to show that S(-1) = ln(2). Let P(x) be the Nth Taylor polynomial of ln(1 - x) at...
The Sackur-Tetrode Equation gives the entropy of a sample of n moles of monatomic ideal gas as a function of its internal energy U and volume V S(U, V) = 5/2 n R + n R In (V/n N_A(4piM U/3nN^2_Ah^2)^3/2) In the equation, R is the gas constant, M is the molar mass, N_4 is Avogadro's number, and h is Plank's constant. The equation can be derived using S = k ln W and directly computing W, the number of...
Show that the integral equation (t) log(1 c(s) ds COS 10 Jo has a solution in C[0, 1. Justify your answer carefully. Hint: Use the contraction mapping theorem. You may need to work with a suitable subset of ClO,1 rather than Co,. Identifying such a subset is part of the problem.
Show that the integral equation (t) log(1 c(s) ds COS 10 Jo has a solution in C[0, 1. Justify your answer carefully. Hint: Use the contraction mapping theorem. You...
Reduce the following equation using Boolean algebra and show all of your steps. 0 - A'B'C + A'BC' + A'BC + ABC
Help Please! Show all work
Problem Set 10 CHEM 1252 October 4, 2019 Textbook Reading Assignment: 12.1-4 Additional Practice Problems: 12.11,13,15,21,25,27,29,13,35,37 1. Choose the member of each pair with the higher entropy, and explain your answer. (a) 1 mol H2O(s) or 1 mol H20(1), both at 100 °C and 1 atm (b) 1 mol O2(e) or 1 mol O (g) under equivalent conditions (c) Ice at -20 °C or ice at -80 °C (d) 1 mol N2(g) at 0 °C...
For the table below, find the following: 0 0 13 Manually do the following steps using the appropriate formula SHOW YOUR WORK Develop the estimated regression equation by using the formula for computing the values for b, and b, SHOW YOUR WORK" means wRITE the formula and create the columns as needed below follow the steps through. If you need more space below, create them by pressing ENTER Compute SSE, SST, and SSR using only Computing formulas. Compute the coefficient...
d. Show the algebraic steps in deriving equation (5) using
equations (1) and (3).
Please explain this very well.
When a string is stretched between two fixed points, the speed of the waves formed on it is given by the following equation. F (1) V= u Mass of the string per unit length or linear density of the string is given by U= m L (2) Using the general velocity, wavelength and frequency relationship for a wave and considering the...
plz print ur answer
Question2 Consider the differential equation We saw in class that one solution is the Bessel function (-1)" ( 2n+2 2+n)! 2) n=0 (a) Suppose we have a solution to this ODE in the form y = Σ。:0cmFn+r where 0. By considering the first term of this series show that r must satisfy r2-4=0(and hence that r = 2 or r=-2). (b) Show that any solution of the form y-must satisfy co c) From the theory about...
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