Explanation Write the given reaction: CH 4 +0 .9 × [ 2 ( O 2 +3 .76N 2 ) ] ⇌ α CO 2 + β C O+ γ H 2 O + ω H 2 + 6.768 N 2 (I) Here, mole fraction of NO is x , mole fraction of N 2 is α , mole fraction of oxygen is β . Write the stoichiometric reaction: CO 2 +H 2 ⇌ CO+H 2 O (II) Calculate the total number of moles in the mixture: n = α + β + γ + ω + 6.768 (III) Write the expression to calculate the equilibrium constant ( K P ) from the number of moles of reactants and products for the reaction (I). ln K P = N CO v CO N H 2 O v H 2 O N CO 2 v CO 2 N H 2 v H 2 ( P / P r e f n ) ( v CO − v H 2 O − v CO 2 − v H 2 ) (IV) Here, stoichiometric coefficient is v , number of moles of CO is N CO v CO , number of moles of H 2 O is N H 2 O v H 2 O , number of moles of CO 2 is N CO 2 v CO 2 , number of moles of H 2 is N H 2 v H 2 , pressure is P / P r e f , and the total number of moles of products is n . Conclusion: Perform the carbon balance using equation (I). C → 1 = α + β α = 1 − β (V) Perform the oxygen balance using equation (I). C → 3.6 = 2 ( 1 − β ) + β + γ γ = 1.6 + β (VI) Perform the Hydrogen balance using equation (I): H → 4 = 2 γ + 2 ω 2 = γ + ω (VII) Substitute β for N CO v CO , 1.6 + β for N H 2 O v H 2 O , 1 − β for N CO 2 v CO 2 , 1 − β for N H 2 v H 2 , 1 for P / P r e f , 1 for n , 1 for v CO , v H 2 O , v CO 2 , and v H 2 , 1 for v N 2 , for v O 2 in equation (IV). 0.693 = [ β ] [ 1.6 + β ] [ 1 − β ] [ 0.4 − β ] ( P / P r e f 1 ) ( 1 − 0.5 − 0.5 ) 0.693 = [ β ] [ 1

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 14.6, Problem 33P

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The composition of the equilibrium mixture per kmol of mixture

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Chapter 14.6, Problem 32P

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A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be fixed supports. The beam was originally designed to withstand a triangular distributed load, however, the loading condition has been revised and can be approximated by a cosine function as shown in the figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can assume that the bending rigidity (El) is constant. wwo cos 2L x A B Figure 3: Built in beam with a varying distributed load In order to do this, you will: a. Solve the reaction forces and moments at point A and B. Hint: you may find it convenient to use the principal of superposition. (2%) b. Plot the shear force and bending moment diagrams and identify the maximum shear force and bending moment. (2%) c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x. (1%)

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Fundamentals of Engineering Thermodynamics

Ch. 14.6 - 1. Why is using the Gibbs function advantageous...Ch. 14.6 - Prob. 2E Ch. 14.6 - Prob. 3E Ch. 14.6 - Prob. 4E Ch. 14.6 - Prob. 5E Ch. 14.6 - Prob. 6E Ch. 14.6 - Prob. 7E Ch. 14.6 - Prob. 8E Ch. 14.6 - Prob. 9E Ch. 14.6 - Prob. 10E

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