[考試] 普物期末考考古題（林敏聰）11.Jan.2004

[Steggie (p2新板Tread_softly)]

沒出現過的標黃色

Total: 100%（這次題目變少了）

1. Please write down the three laws of thermodynamics with brief
   interpretation. (15%)

2. Please prove the relation, pV  = a constant, during an adiabatic process of
   an ideal gas, where γ= Cp / Cv（p, v 下標）, the ratio of the molar
   specific heats for the gas. (10%)

3. (25%)
   (a) Please derive the entropy change: ΔS = S - S（這邊沒有下標我想是 typo）
       = n R ln( Vf / Vi ) + n Cv ln( Tf / Ti )（f, i, v 下標） for all
       reversible process that take the gas from state i to state f. (5%)
   (b) Please use this relation to calculate the change in the entropy for a
       free expansion process from V to 2V. Please also give the reason that
       you may do in this way. (5%)
   (c) Derive this increase of entropy with statistical mechanics (using the
       Boltzmann's entropy equation S = k ln W, where k is the Boltzmann's
       constant, W the multiplicity of the configuration). (10%)
   (You can use the Stirling's Approximation: ln N! = N ln N - N .)

4. (10%) Please express (in bulk modulus B and gas density ρ) and derive the
   equation for the sound wave speed v in air from Newton's second law.

5. (15%) Construct plots of P versus V, T versus S, and S versus Einternal
   （internal 下標）for the adiabatic expansion thermodynamic process. Write
   down or/and derive the individual relatoin of (P, V), (T, S) and
   (S, Einternal).

6. (10%) Please give a clear argument by using the concept of entropy to
   explain that the heat will always flow from the high temperature to the low
   temperature objects if there is no external work.

7. (15%) What phase difference between two otherwise identical traveling
   waves, moving in the same direction along a stretched string, will result
   in the combined wave having an amplitude 1.50 times that of the common
   amplitude of the two combining waves? Express your answer in (a) degree
   (b) radians (c) wavelengths.

8. Good luck!!! Happy NEW YEAR!

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→ dQoQb:       Steggie 好心不會有好報 ￣︶￣
推 geniusjazz:推一個...(分數怎麼只剩100%...XD!)
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推 dQoQb:對不起推錯了>"<
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→ dQoQb:         Steggie 好心有好報 ￣︶￣
推 chaogold:大感謝 :)