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Kinetic Theory of Gases Boyle’s Law , Charles’s Law – as in F5 Introduce Ideal gas equation – PV = nR !"#hasis on Calculation $hat is an ideal gas% & 'eed to (ully understant the ) assu"#tions *eri+e #ressure o( a gas – use C* to hel# to +isuali e -uite di((icult (or student to gra#s But conce#t o( r"s s#eed is i"#ortant .##lication o( the (ew (or"ulas # = /01 ρ c 2 PV = /01 '"c 2 3inetic energy o( a "olecule 4 " c 2 = 102 R . le to see the a ility o( "aths to 6see’ things that cannot e seen *egrees o( (reedo" – de(inition 7a8well’s #rinci#le o( equi#artion o( energy & 'eed to see the di((erence etween "ean 3! o( a "olecule .nd "ean translational 3! o( a "olecule 9nderstand the nu" er o( degrees o( (reedo" o( diato"ic under Low , roo" , high te"#erature *istri ution o( "olecular s#eeds – gra#h +ery i"#ortant . le to e8#lain +arious #arts o( the gra#h Thermodynamics of Gases Relati+ely easy and #o#ular to#ic 'eed to understant wor: done – integral (or" and gra#hical (or" Positi+e and negati+e wor: Basically (ocus on ; #rocesses – constant +olu"e, constant #ressure, Constant te"#erature <isother"al , adia atic *raw the ; gra#hs, understand the ; equation , $or: done equation 7a:e use o( the (irst law o( ther"odyna"ics &de(ine and understand and a##ly (irst law o( ther"odyna"ics 9se o(γ to deter"ine the ty#e o( gas

F6 Course Thermodynamics

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Kinetic Theory of Gases

Kinetic Theory of GasesBoyles Law , Charless Law as in F5

Introduce Ideal gas equation PV = nRT

Emphasis on Calculation

What is an ideal gas?

Need to fully understant the 6 assumptions

Derive pressure of a gas use CD to help to visualize

Quite difficult for student to graps

But concept of rms speed is important

Application of the few formulas p = 1/3 c2PV = 1/3 Nmc2Kinetic energy of a molecule m c2 = 3/2 RT

Able to see the ability of maths to see things that cannot be seen

Degrees of freedom definition

Maxwells principle of equipartion of energy

- Need to see the difference between mean KE of a moleculeAnd mean translational KE of a molecule

Understand the number of degrees of freedom of diatomic under

Low , room , high temperature

Distribution of molecular speeds graph very important

Able to explain various parts of the graph

Thermodynamics of GasesRelatively easy and popular topic

Need to understant work done integral form and graphical form

Positive and negative work

Basically focus on 4 processes constant volume, constant pressure,

Constant temperature (isothermal) , adiabatic

Draw the 4 graphs, understand the 4 equation , Work done equationMake use of the first law of thermodynamics

-define and understand and apply first law of thermodynamics

Use of to determine the type of gas

Thermal ConductionBasically only 1 important formula

Remember , understand and use the formula

For insulated and non insulated rod

Graphical understanding is also very important

Understand(and memorise) the principles involve in determining

K for good conductors Searles Method

And poor conductors Lees method

Jointed rod rod in series

Apply the above formula

Use parallel electrical method

- dQ/dt = I 1-2 = V l/kA = R

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