**Exercise 7.1.1: Water Splitting Reactor**Water (H\(_2\)O) is split into hydrogen (H\(_2\)) and oxygen (O\(_2\)) in a reactor. While only water enters the reactor, the conversion is incomplete. So all three components exit the reactor.(a) Draw and label a process flow diagram. Clearly number each stream.(b) Starting from the general form of the energy balance, list the assumptions that should be used to simplify the energy balance.(c) Starting from the general form of the energy balance again, apply the assumptions and simplify the energy balance.(d) Finally, write the energy balance in terms of molar flow rates for all components entering and exiting the reactor.**Explanation of any graphs or diagrams:**There is no graphical content to describe in this image. It consists solely of text outlining a problem related to understanding and applying energy balances in the context of a water splitting reactor. Students are instructed to create their own process flow diagrams and perform calculations based on energy balance principles.

Water is splinted into hydrogen and oxygen in water-splitting reactor. Feed consist of water only. The conversion of water is incomplete.(a) The process flow diagram is shown below: (b) The water splitting reaction is, Assumptions: Steady-state. Change in potential energy is negligible. Change in the kinetic energy is negligible. No shaft The energy balance equation is written as follows: ∆H = Qex. Where, ∆H represents the change in enthalpy. Qex. represents the heat supplied to or removed from the system. For the reacting system, the energy balance equation becomes, Hexit - Hinlet + Qrxn, = Qex. .............. (1) Where, Qrxn. represents the heat added or removed due to the reaction.(c) Equation (1) can be further simplified by employing the following assumptions. Assumptions: Reactor is adiabatic. The heat due to reaction can be written as follows: Qrxn. =∆Hrxn0 FA0xA Where, FA0 represents the initial molar flow rate of reactant (water). xA represents the conversion of water. Therefore the equation (1) becomes, Hexit -Houtlet + ∆Hrxn0 FA0xA = 0 ............ (2)(d) The enthalpy of species is written as follows: H = FcpT - Tref. Assumptions: Heat of reaction is at 25 0C or 298 K. Reference temperature is 298 K. cp is not function of temperature. Therefore the energy balance in terms of molar flow rate of all component is written as follows: FA cp,A + FB cp,B + FC cp,C To-298 -FA0 cp,ATi -298 + ∆Hrxn.0FA0xA = 0 ............. (3) Where, F represents the molar flow rate of product stream. F0 represents the molar flow rate of feed stream. Ti represents the temperature of feed. T0 represents the temperature of the product stream. Subscript A represents the water. Subscript B represents the hydrogen. Subscript C represents the oxygen. Equation (3) represent the energy balance equation.

Answered: Water (H20) is split into hydrogen (H2)…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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**Exercise 7.1.1: Water Splitting Reactor**

Water (H\(_2\)O) is split into hydrogen (H\(_2\)) and oxygen (O\(_2\)) in a reactor. While only water enters the reactor, the conversion is incomplete. So all three components exit the reactor.

(a) Draw and label a process flow diagram. Clearly number each stream.

(b) Starting from the general form of the energy balance, list the assumptions that should be used to simplify the energy balance.

(c) Starting from the general form of the energy balance again, apply the assumptions and simplify the energy balance.

(d) Finally, write the energy balance in terms of molar flow rates for all components entering and exiting the reactor.

**Explanation of any graphs or diagrams:**

There is no graphical content to describe in this image. It consists solely of text outlining a problem related to understanding and applying energy balances in the context of a water splitting reactor. Students are instructed to create their own process flow diagrams and perform calculations based on energy balance principles.

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