Chapter 1 Introduction to Engineering Calculations What’s in this chapter? • Chemical Engineering Profession • Units and Dimension • Conversions of Unit • Systems of Units • Force, Weight and Mass Bioprocess Engineering Profession Bioprocess Engineering, a more recent offshoot of Chemical Engineering, uses the very latest technology to produce pharmaceuticals and foods. What is the difference between Bioprocess and Chemical Engineering? Chemical Engineering is concerned with changing raw materials into useful product by designing processes which change their chemical or physical composition, structure or energy content. Bioprocess Engineering is a branch of Chemical Engineering which is concerned with biological changes and is particularly important in the production of pharmaceuticals, foodstuffs and the treatment of waste. Role of Bioprocess Engineering • • • • • exploit advances in biology to create new products design biochemical processes & operate plants develop energy resources, protect the environment. Develop new, environmentally benign, and safer processes to make the biochemical products that people depend on. • Work in research and development laboratories, creating polymeric materials with improved performance and durability. • Work in manufacturing, making vaccines and antibiotics. • Invent new ways to keep our food and water supplies safe. CHEMICAL PROCESS RAW MATERIALS SEPARATION PROCESS INTERMEDIATE PRODUCT REACTION PROCESS INTERMEDIATE PRODUCT SEPARATION PROCESS FINAL PRODUCT Bioprocess Engineer’s Task Bioprocess Engineers must make decisions concerning: • Which reaction pathway should be used to make the product? • How to purify the desired product? • How to control the process and ensure it is safe? • How to make the process cost effective? • What should be done with any by-products formed? • How to reduce the amounts of unwanted by-products formed? • What to do with unreacted raw materials? • How to recycle energy within the process? OPPORTUNITIES FOR BIOPROCESS ENGINEERS • • • • • • • • • pharmaceuticals polymers energy water food & drink consumer products biotechnology electronic and optical materials business, management and consultancy. Units and Dimensions Objectives: • Convert one set of units in a function or equation into another equivalent set for mass, length, area, volume, time, energy and force • Specify the basic and derived units in the SI and American engineering system for mass, length, volume, density, time, and their equivalence. • Explain the difference between weight and mass • Apply the concepts of dimensional consistency to determine the units of any term in a function Units and Dimensions • Dimensions are: – properties that can be measured such as length, time, mass, temperature, – properties that can be calculated by multiplying or dividing other dimensions, such as velocity (length/time), volume, density • Units are used for expressing the dimensions such as feet or meter for length, hours/seconds for time. • Every valid equation must be dimensionally homogeneous: that is, all additive terms on both sides of the equation must have the same unit Conversion of Units • A measured quantity can be expressed in terms of any units having the appropriate dimension • To convert a quantity expressed in terms of one unit to equivalent in terms of another unit, multiply the given quantity by the conversion factor • Conversion factor – a ratio of equivalent values of a quantity expressed in different units • Let’s say to convert 36 mg to gram 36 mg 1g 1000 mg = 0.036 g Conversion factor Dimensional Equation 1. Write the given quantity and units on the left 2. Write the units of conversion factors that cancel the old unit and replace them with the desired unit 3. Fill the value of the conversion factors 4. Carry out the arithmetic value Dimensional Equation • Convert 1 cm/s2 to km/yr2 1 cm s2 h2 day2 m km s2 h2 day2 yr2 cm m 1 cm 36002 s2 242 h2 3652 day2 1m 1 km s2 12 h2 12 day2 12 yr2 100 cm 1000 m (3600 x 24 x 365) 100 x 1000 2 km yr2 = 9.95 x 109 km/ yr 2 Exercise Systems of Units • Components of a system of units: – Base units - units for the dimensions of mass, length, time, temperature, electrical current, and light intensity. – Multiple units- multiple or fractions of base unit • E.g.: for time can be hours, millisecond, year, etc. – Derived units - units that are obtained in one or two ways; a) By multiplying and dividing base units; also referred to as compound units • Example: ft/min (velocity), cm2(area), kg.m/s2 (force) b) As defined equivalent of compound unit (Newton = 1 kg.m/s2) Systems of Units • 3 systems of unit: a) SI system b) American engineering system c) CGS system Base Units Base Units Quantity SI Symbol American Symbol CGS Symbol meter m foot ft centimeter cm Mass kilogram kg pound mass lbm gram g Moles grammole mole pound mole lbmole gram-mole mole Time second s second s second s Temperature Kelvin K Rankine R Kelvin K Length Multiple SI Units Multiple Unit Preferences tera (T) = 10 12 centi (c) = 10 -2 giga (G) = 10 9 milli (m) = 10 -3 mega (M) = 10 6 micro (µ) = 10 -6 kilo (k) = 10 3 nano (n) = 10 -9 Derivatives SI Units Derived SI Units Quantity Unit Symbol Equivalent to the Base Unit Volume Liter L 0.001m3 = 1000 cm3 Force Newton (SI) Dyne (CGS) N 1 kg.m/s2 1 g.cm/s2 Pressure Pascal Pa 1 N/m2 Energy/ Work Joule Calorie J cal 1 N.m = 1 kg.m2/s2 4.184 J =4.184 kg.m2/2 Power Watt W 1 J/s = 1 kg.m2/s3 Force and Weight • Force is proportional to product of mass and acceleration • Usually defined using derived units ; 1 Newton (N) = 1 kg.m/s2 1 dyne = 1 g.cm/s2 1 Ibf = 32.174 Ibm.ft/s2 • Weight of an object is force exerted on the object by gravitational attraction of the earth i.e. force of gravity, g. • Value of gravitational acceleration: g = 9.8066 m/s2 = 980.66 cm/s2 = 32.174 ft/s2 Force and Weight • gc is used to denote the conversion factor from a natural force unit to a derived force unit. gc = 1 kg.m/s2 1N = 32.174 lbm.ft/s2 1 lbf ANY QUESTION? Example 1 Exercise1
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