MIT粒子统计学课程__ExamReviewFinl.pdfVIP

8.333:StatisticalMechanicsIRe:2007FinalExam

ReviewProblems

Theenclosedexams(andsolutions)fromthepreviousyearsareintendedtohelpyou

reviewthematerial.

********

Notethatthefirstpartsofeachproblemareeasierthanitslastparts.Therefore,

makesuretoproceedtothenextproblemwhenyougetstuck.

Youmayfindthefollowinginformationhelpful:

PhysicalConstants

Electronmassme≈9.1×10−31KgProtonmassmp≈1.7×10−27Kg

ElectronChargee≈1.6×10−19CPlanck’sconstant/2πh¯≈1.1×10−34Js1

8−1−8−2−4

Speedoflightc≈3.0×10msStefan’sconstantσ≈5.7×10WmK

Boltzmann’sconstantkB≈1.4×10−23JK−1Avogadro’snumberN0≈6.0×1023mol−1

ConversionFactors

1atm≡1.0×105−2˚−104

Nm1A≡10m1eV≡1.1×10K

Thermodynamics

dE=TdS+dWForagas:dW=−PdVForafilm:dW=σdA

MathematicalFormulas

lim−2x�−4x�lim1x�2�

x→∞cothx=1+2e+Oex→0cothx=x+3+Ox

�∞dxxne−αx=n!(1)!=√π

0αn+1