課程名稱︰普通物理學甲上
課程性質︰必修
課程教師︰林敏聰教授
開課系所︰物理系
考試時間︰95/01/14 9：30~無限
試題 :
Total 100%
1. Please write down the three laws of thermodynamics with brief
interpretation. (15%)
2. (a) Please derive the entropy change: ΔS = S_f - S_i= n R ln( V_f / V_i)
+nCvln(T_f/T_i)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 4V. 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). (5%)
(Stirling's Approximation: ln N! = N ln N - N )
3. All ideal engine has efficiency E(安斯壯).Show that if you run it
backward to an ideal refrigerator，the coefficient of performance
process.(10%)
4. Construct plots of P versus V, T versus S, and S versus Einternal
for the adiabatic expansion thermodynamic process.(10%).
5. What is the entropy change (a) for any reversible CLOSED cycle and (b)
for the irreversible process whose final T and V are the same as the
initial ones.(10%)
6. (a)Please write down the general Dopper Effect Equation (v：wave speed
V_D:speed of detecto，V_s:speed of wave source)(10%)(b)As shown in
figure 1，the f Hz sound wave generated by a moving body with velocity
v_s is received by a moving detector with velocity v_d.What is the
frequency measured by the detector.
7. What is the speed of sound in air at 27℃ and 1atm？(Assuming an
adiabatic process for the compression and expansion of the air as
the sound wave propagates，and ideal monatomic gas for the air)(10%)
8. Please express (in string tension τ and mass length density μ) and
derive the equation for the wave speed v on stretched string from
Newton's second law.(10%)
9. Good luck!!! Happy NEW YEAR!
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