# To apply the concepts covered during the lectures to practical reactor engineering design problems: Advanced Reaction Engineering, Coursework, LSBU, UK

## Part 2

### Coursework Aim:

To apply the concepts covered during the lectures to practical reactor
engineering design problems.
To develop mathematical and computational skills for the solution of reactor
engineering design problems.
To develop critical thinking about reactor design and its application in solving
current global issues.

### Coursework Details:

This part of the coursework comprises two questions. The questions are about solving a series of reactor design problems where the set of equations is first specified and then solved to produce a selection of reaction profiles, such as concentration vs time, and reactor temperature vs time. Different operating regimes are considered, e.g. batch, isothermal, non-isothermal, catalytic, non-catalytic, etc. The solution of the equations may require the use of specialised engineering software, as shown during the lectures and tutorials. This part of the coursework is worth 50% of the module.

General instructions. Provide a clear development and presentation of the equations as well as the MATLAB code (or a copy of any file/software) used to
solve the equations, when applicable. The code must be presented either as
text in a Word file or as an independent .m (MATLAB) file, or any other workable file. The code must work properly when run by the marker. If the code/working file is not presented, marks will be reduced. The quality of the document will be considered in the marking.

### Question 2

The following consecutive first-order reactions represent a hydrogenation
process:

The reaction takes place at 250 °C, and at this temperature, the reaction rate
coefficients are 𝑘𝑘1 = 0.055 min-1 and 𝑘𝑘2 = 0.008 min-1. For a liquid-phase
reaction carried out in a batch reactor where only A is charged with a
concentration of 50 mol L-1, obtain the following:

a) Present the development and the final expressions needed to determine the concentration of the different species as a function of time.

b) Present a plot showing the concentration profiles of the different species as
a function of time (up to 500 min), when no B or C are present initially.

c) The time needed to achieve 80% conversion.

d) The concentration of the different species at 500 min.

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### Question 3

The elemental irreversible liquid-phase reaction:

takes place in a steady-state 200 dm3 PFR, where species A and B are fed at 30 °C at a flow rate of 10 mol min-1 and 10 mol min-1, respectively. The entering volumetric flowrate is: 𝑣𝑣0 = 10 dm3 min-1. The following thermodynamic data is available:

For the case when a heat exchanger operating in co-current mode is placed
(with a UA = 1200 cal min-1 K-1) in the reactor and the working fluid temperature is constant at 70 °C:

i. Obtain the expressions to determine the concentration of the different species, and the reactor temperature, as a function of the space-time, 𝜏𝜏.

ii. Plot the concentrations of the different species as a function of 𝜏𝜏.

iii. Plot the temperature of the reactor as a function of 𝜏.

v. Determine the concentrations and the temperature at the exit of the
reactor.

v. Determine the concentrations and the temperature when the values
of the residence time is 10 min.

### Learning Outcomes

This coursework will fully or partially assess the following learning outcomes for this module.

Knowledge and Understanding

A knowledge of reactor behaviour for homogeneous and heterogeneous systems. An understanding of reaction engineering so that students can apply the principles to the solution of relevant engineering problems and to the design of reaction processes.

Intellectual Skills

Formulate dynamic material and energy balances to give a good
representation of a chemical reactor for simple and complex reactions.
Use a mathematical approach for the design of chemical reactors.

Practical Skills

Evaluate the performance of chemical reactors. Make provision for
heterogeneous processes. Specify temperature profiles.

Transferable Skills

Apply principles of advanced reaction engineering to complex processes in which chemical reactions occur.

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