(a) Explanation Write the expression for mass and energy rate balance for the inlet and exit of the reactor. Q c v n f − W c v n f = h p − h R (I) Here, enthalpies of products is h p and, enthalpies of reactants is h R .work done in closed vessel is W c v , heat transfer in closed vessel is Q c v , the entropy flow rate is n f . Substitute 0 for h p − h R for the same inlet and exit temperature in Equation (I) Q c v n f − W c v n f = 0 Q c v n f = W c v n f (II) Write the expression for the entropy rate balance. Q c v n f T 0 + s p − s R = 0 Q c v n f = T 0 ( s p − s R ) (III) Here, entropy of products is s p and entropy of reactants is s R The temperature of environment is T 0 . Write the expression for entropy relation. s i ( T 0 , y i e , p 0 ) = s i ( T 0 , p 0 ) − R ¯ ln y i e Here, universal gas constant is R ¯ , the environment pressure is p 0 and molar fraction is y i e . Substitute s i ( T 0 , p 0 ) − R ¯ ln y i e for s p and s i ( T 0 , p 0 ) − R ¯ ln y i for s R in Equation (III). Q c v n f = T 0 ( s i ( T 0 , p 0 ) − R ¯ ln ( y i e ) − s i ( T 0 , p 0 ) + R ¯ ln ( y i ) ) Q c v n f = − T 0 ( s i ( T 0 , p 0 ) − R ¯ ln ( y i ) − s i ( T 0 , p 0 ) + R ¯ ln ( y i e ) ) Q c v n f = − T 0 ( R ¯ ln ( y i y i e ) ) Q c v n f = − T 0 ( R ¯ ln y i y i e ) (IV) Here, the mole fraction of product is y i and the mole fraction of reactants is y i e (b) To determine The all-important steps in equation 13.44a and 13.44b.

8th Edition

ISBN: 9781119391630

Author: MORAN

Publisher: WILEY

See similar textbooks

Videos

Question

Chapter 13.8, Problem 94P

(a)

To determine

The all important steps in Equation 13.41a and 13.41b.

(b)

To determine

The all-important steps in equation 13.44a and 13.44b.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.8, Problem 93P

Chapter 13.8, Problem 95P

Students have asked these similar questions

9₁ A Insulated boundary Insulated boundary dx Let's begin with the strong form for a steady-state one-dimensional heat conduction problem, without convection. d dT + Q = dx dx According to Fourier's law of heat conduction, the heat flux q(x), is dT q(x)=-k dx. x Q is the internal heat source, which heat is generated per unit time per unit volume. q(x) and q(x + dx) are the heat flux conducted into the control volume at x and x + dx, respectively. k is thermal conductivity along the x direction, A is the cross-section area perpendicular to heat flux q(x). T is the temperature, and is the temperature gradient. dT dx 1. Derive the weak form using w(x) as the weight function. 2. Consider the following scenario: a 1D block is 3 m long (L = 3 m), with constant cross-section area A = 1 m². The left free surface of the block (x = 0) is maintained at a constant temperature of 200 °C, and the right surface (x = L = 3m) is insulated. Recall that Neumann boundary conditions are naturally satisfied…

1 - Clearly identify the system and its mass and energy exchanges between each system and its surroundings by drawing a box to represent the system boundary, and showing the exchanges by input and output arrows. You may want to search and check the systems on the Internet in case you are not familiar with their operations. A pot with boiling water on a gas stove A domestic electric water heater A motor cycle driven on the roadfrom thermodynamics You just need to draw and put arrows on the first part a b and c

7. A distributed load w(x) = 4x1/3 acts on the beam AB shown in Figure 7, where x is measured in meters and w is in kN/m. The length of the beam is L = 4 m. Find the moment of the resultant force about the point B. w(x) per unit length L Figure 7 B

Chapter 13 Solutions

FUND OF ENGINEERING THERMO W/WILEY PLU

Ch. 13.8 - Prob. 1E Ch. 13.8 - Prob. 2E Ch. 13.8 - Prob. 3E Ch. 13.8 - Prob. 4E Ch. 13.8 - Prob. 5E Ch. 13.8 - Prob. 6E Ch. 13.8 - Prob. 7E Ch. 13.8 - Prob. 8E Ch. 13.8 - Prob. 9E Ch. 13.8 - Prob. 10E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.