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Flashcards

Physics of Matter Equations

Lauren Clark Inglês 58 flashcards

Flashcards do conjunto (58)

  1. 1Critical temperatureTemperature at which critical point occurs
    T=deltaE/kb
  2. 2Intermolecular potential per unit volumeU=1/2 p^2INTEGRAL(gV)
    g is radial distribution function
  3. 3FluxJ = 1/4 n
    n number density
  4. 4Pressure of a gas (think flux)P=1/3 nm
  5. 5Pressure difference in gasP=Po e^(-mgh/kbT)
  6. 6Maxwell-Boltzmann distribution function1/N dN/dc = 4pic^2 (m/2pikbT)^3/2 e^(-mc^2/2kbT)
  7. 7Most probable speed of a moleculec* = SQRT(2kbT/pim)
  8. 8Mean speed= SQRT(8kbT/pim)
  9. 9Root mean square speedSQRT() = SQRT(3kT/m)
  10. 10Mean free pathmfp=1/pio^2n
    o diameter of molecule, radius of cylinder swept out by particle
  11. 11Effusion relation pressure and temperatureP1/P2=SQRT(T2/T1)
  12. 12Fick's LawFor diffusion
    J=-D dn/dz
  13. 13Diffusion coefficientD= -mfp/3 dn/dz
  14. 14ViscosityVISC=1/3 m mfp n
    n number of molecules
  15. 15Thermal conductivityk = 1/3 n mfp (cv)
    cv = heat capacity constant v
  16. 16First law of thermodynamicsdeltaU = Q + W
  17. 17Work done on gas at constant pressureW = -P(Vf-Vi)
  18. 18Work done in a reversible isothermal expansionW=-NRTln(Vf/Vi)
  19. 19Heat capacity at constant VdQ/dT=dU/dT
  20. 20Heat capacity constant PdQ/dT
  21. 21EnthalpyH=U+PV
  22. 22Spacing between rotational energy levelse=hbar^2/4pi^2I
    I moment of inertia
  23. 23Relationship between cV and cPcP=Cv +(dU/dV +P)dV/dT
  24. 24Change in volume due to isobaric thermal expansivitydeltaV=B V delta T
  25. 25Change in volume due to isothermal compressibilityk+ - 1/V (dV/dP)
  26. 26Ratio of cP and cV-V/P dP/dV = gamma
  27. 27Relationship between P and V for adiabatic expansionP1V1^gamma = P2V2^gamma... etc
    Gamma is the ratio of cP to cV
  28. 28Cooling due to adiabatic expansionT2/T1 = (V1/V2)^gamma-1= (P2/P1)^((gamma - 1)/gamma)
  29. 29EntropydS=dQ/T = dH/T
  30. 302nd law of thermodynamicsdelta S(univ) >/ 0
  31. 31Gibb's Free EnergyG=H-TS
  32. 32Master EquationsdH=TdS+vdP
    dG =VdP - SdT
  33. 33Clapeyron EquationdP/dT = Svap-Ssol/Vvap-Vsol
  34. 34Clasius Clapeyron Equationln(P2/P1) = - deltaH/R (1/T2-1/T1)
  35. 35Latent heat of vaporisationL= deltaHvap
  36. 36Van der Waals equationP=RT/V-b - a/V^2
    v = volume of one mole
  37. 37b in Van der Waals Equationb=4Nav=2pi/3 Na o^3
    v = volume of one molecule
    o = diameter of one molecule
  38. 38Missing neighbours of a molecule approaching a walln-no = - ano^2/kT
    a = alpha = some constant
  39. 39Critical temperature of liquidTc=8a/27Rb = 26 deltae/27k
    a and b are constants from the Van der Waals equation n
  40. 40Keesom interactionU = -2u1^2u2^2/3kT(4piEo)^2r^6
    ui = dipole moment
    r = distance between two charges in dipole
  41. 41Induced dipole momentu = aE
    a = alpha = polarizability
  42. 42Lennard Jone's PotentialU = 4e((o/r)^12 - (o/r)^6)
    o = distance at which U is zero
    r = distance between particles
  43. 43Surface free energyeNbrok/2ro^2 = NbrokL/qNa(pNa/M)^2/3
    ro = average seperation
    Nbrok = number of neighbours lost
    e = depth of Lennard Jones potential
    L = latent heat
    q = number of nearest neighbours
  44. 44Latent heat of vapourisationL = 1/2 qNae
    q = number of near neighbours
  45. 45Young's Equationgamma(sv) = gamma(sl) +gamma(l)costheta
    found by decomposing the surface free energies at a contact angle between liquid and a solid
  46. 46Pressure difference across curved interfaceP1=P2 = gamma(1/R1+1/R2)
  47. 47Bernoullis EquationP1/p1 +1/2 v1^2 +phi1 = P2/p2 +1/2 v2^2+phi2
    p = density
    phi = gz
  48. 48Stoke's EquationsViscous force
    F = 6pinRv
    n = viscosity
    R = radius
  49. 49Reynolds NumberRe = pvR/n
    n viscosity
    p density
    R radius
  50. 50Ionic pair potentialU = 1.481e[+/- (o/r)+(o/r)^9]
  51. 51Packing FractionPF = NpVp/Vuc
  52. 52Plane spacingd = a/SQRT[h^2+k^2+l^2)]
    h,k,l miller indices
  53. 53Lattice energy of Van der Waal solidUt<2eNa[12(o/r1)^12 - 14.05(o/r1)^6]
  54. 54Ionic lattice energyUt=0.741eNa[6(o/r1)^9-1.75(o/r1)]
  55. 55Braggs Law Cubic System(sin0)^2 = lambda^2(h^2+k^2+l^2)/4a^2
  56. 56Einstein model for specific heatCv = 3R(0e/T)^2 e^(0e/T) / [(e^(0/T)-1)^2]
    0e = hbarw/k
  57. 57Debye frequencyw = k0/hbar
    0 = debye temp
  58. 58Young's Modulus72e/ro^3
    e = strain
    ro = distance

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Physics of Matter equations
Criado por
Lauren Clark
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