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Subjects to be discussed: Defn T: Av KE KE directly proportional to absolute T, KE---kT 0th Law: A↔C & B↔C Then A↔B Heat: energy transfer due delta T U: total internal E: sum of all KE+PE Heat conduction Δ Q/ Δ t = kA ( Δ T/ Δ x)--- k:thermal conductivity, (..) thermal gradient
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Subjects to be discussed: • Defn T: Av KE • KE directly proportional to absolute T, KE---kT • 0th Law: A↔C & B↔C Then A↔B • Heat: energy transfer due delta T • U: total internal E: sum of all KE+PE • Heat conduction ΔQ/Δt = kA (ΔT/Δx)--- k:thermal conductivity, (..) thermal gradient • convection: heat flow in a fluid medium • radiation: no medium needed for propagation, elctromagnetic radiation, P~ AT4 • Specific Heat Capacity: heat needed to raise T of 1 kg of a substance by 1 Cº. • assume C is indep of T. Is it? (J kg-1 K-1) • Thermal Equilibrium: reached at T1=T2 • Specific Latent Heat of Fusion: heat required to melt a unit mass of A at its (normal) melting point • Q= m L • Phase changes • Idael Gases: no V (point newtonian particles), no interaction (zero intermolec forces), • elastic collisions, vacuum between particles • ½ mv2 = 3/2 kT v2= (v12 + v22 + v32 +...)N or RMS speed ~ average speed (but actually • not the same but close). Average velocity = 0 • Total Internal E of Ideal gas (U) depends ony on T or KE since no PE • U = 3/2 N kT (total int E for N ideal gas atoms) • P ~ (speed of molec x collisions with walls) molecular defn • P= F/A (macroscopic defn) • Boyle Mariotte Law: P ~ 1/V at n,T const. PV=const, V= const/P • Charles Law V ~ T at const P,n V = const x T • Avogadro’s Law: V ~ n at const T, P. V= const X n • V= const/P = const x T = const x n → V ~ nT/P.... V= nRT/P... PV=nRT Equation of state
U =3/2 NkT = 3/2 nRT= 3/2 PV for point-monoatomic particles. if polyatomic U is bigger • Mechanical work done by gas: w= PΔV (area under PV curve at const n, T) • work done by the sys (negative sign, internal E decreases), work done on the sys positive • Isobaric: const P, isochoric: const V, isothermal: const T, adiabatic: ΔQ=0 • 1st LAW: ΔU= q + w U: state function-capital letters, q and w are not—lower case • SOLVE EXAMPLE FROM PETRUCCI, isothermal +adiabatic expansion: waht happens to T, w, q • and U ? • 2nd LAW: in a heat engine, absorbed heat can not be completely converted into work. • (no %100 ordered flow of energy) • or: in a spontaneous process: ΔSunverse>0 • ΔS= ΔQ/T • Heat does not flow from cold to hot objects • Effiicieny of a Heat Engine Eff= W/Qh= (Qh – Qc)/ Qh< 1 • The most efficient engine: Carnot Heat engine Eff= (Th-Tc)/Th