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Elementary Principles of
Chemical Engineering
Chapter 4a
Dr. Ibrahem Altarawneh
1
Course Contents
Chapter 4: Fundamental of material balances
Chapter 5: Single phase systems
Chapter 6: Multiphase systems
Chapter 7: Energy and energy balances
Chapter 8: Balances on nonreactive systems
Chapter 9: Balances on reactive systems
Example on a chemical process
Process Classification
Before writing a material balance (MB) you must first identify the type
of process in question.
- Batch โ no material (mass) is transferred into or out of the system over the
time period of interest (e.g., heat a vessel of water)
Process Classification
- Semibatch โ any process that is neither batch nor continuous (e.g., slowly
blend two liquids in a tank)
- Steady-State โ process variables (i.e., T, P, V, flow rates) do not change with
time
- Transient โ process variables change with time
Material (Mass) Balances (MBs)-No Reaction
- A material balance is simply an accounting of material. For a given
system in which no reaction is occurring (you will not be told this,
and will need to know this from the type of unit that is under
consideration; crystallizer, evaporator, filter, furnace, etc.),
- A material balance can be written in terms of the following
conserved quantities:
- Total mass (or moles)
- Mass (or moles) of a chemical compound
- Mass (or moles) of an atomic species
Some Basic Process Unit Functions
- Splitter โ divides a single input
into two or more outputs of the
same composition (no reaction)
- Mixer โ combines two or more
inputs (usually of different
compositions) into a single
output) (no reaction)
- Separator โ separates a single
input into two or more outputs of
different composition (no
reaction)
Some Basic Process Unit Functions
- Reactor โ carries out a chemical
reaction that converts atomic or
molecular species in the input to
different atomic or molecular
species in the output
- Heat exchanger โ transfers heat
from one input to a second input
(no reaction)
- Pump โ changes the pressure of an
input to that of the corresponding
output (no reaction)
General Mass Balance Equation
Suppose methane is a component of both input and output streams of a continuous process unit. What if the mass flow rates of methane in both streams are measured and found to be different?
- Methane is being consumed as a reactant or generated as a product within the unit.
- Methane is accumulating in the unit โ possibly adsorbing on the walls.
- Methane is leaking from the unit.
- The measurements are wrong.
Material Balance Simplifications
- The following rules may be used to simplify the material balance
equation:
Accumulation = In โ Out + Generation โ Consumption
- If the system is at steady-state, set accumulation = 0
In โ Out + Generation โ Consumption = 0
- If the balanced quantity is total mass, set generation = 0 and
consumption = 0 (law of conservation of mass)
Accumulation = In โ Out
- If the balanced substance is a nonreactive species, (neither a reactant
nor a product) or for non-reacting systems in general, set generation
= 0 and consumption = 0
Accumulation = In โ Out
16 Input + Generation โ Output โ Consumption = Accumulation Input โ enters through system boundaries. Generation โ produced within system. Output โ leaves through system boundaries. Consumption โ consumed within system. Accumulation โ build up within system. Two types of balances may be written:
1. Differential balances: indicate what happening in a system at an instant in time. Each term of the balance equation is a rate (rate of input, rate of generation, etc.) and has unit divided by time. Applied to continuous process. 2. Integral balances: describe what happens between two instants of time. Each term of the equation is an amount of the balanced quantity. Applied to batch process. A balance on a conserved quantity in a system is:
Example
Input + Generation โ Output โ Consumption = Accumulation
In terms of thousand barrels of oil per day, we have:
Thus, there was a net reduction in oil reserves during this time of year.
On average during the early part of 2009, the United States imported 12, thousand barrels of oil per day. There were also 5,191 thousand barrels of oil per day removed from oil wells. The nation exported 1,826 thousand barrels of oil per day and consumed 18,019 thousand barrels of oil per day. Write a balance on the oil in the nation.
Problems Involving Material Balances
Standard procedures will initially be developed for single-unit processes
- No reaction (Consumption=Generation=0)
- Continuous steady-state (Accumulation=0) Develop good habits now, and practise. Problems will get more complex as we extend the procedures to multiple-unit processes and processes with reaction Standard procedures are summarized in F&R Section 4.3 and include:
- drawing/labeling a process flow diagram (4.3a)
- selecting a basis of calculation (4.3b)
- setting up material balances (4.3c)
- performing a degree of freedom analysis (4.3d) Understanding the Concepts is not good enough. You will not be tested on Understanding the Concepts. You will be tested on your ability to solve balance problems, and to get the correct answer.
Example 2 : 1000 kg/h of a mixture of benzene (B) and toluene (T) containing 50 % benzene by mass is separated by distillation into two fractions, as shown. Calculate the unknown component flow rates in the output streams. Solution: