[心得] 輕鬆吃下麥克示威爾方程式!

看板NTHU_ENGI13作者lcf118899 (安安仔仔)時間13年前 (2010/12/04 20:30)推噓10(11推 1噓 4→)

留言16則, 10人參與討論串1/1

好像很多人要考熱力學就姑且看看有沒有幫助吧圖表: ┌─ ─┐ S U V │H A│ P G T - └─ ─┘ + (Ⅰ) 加減關係 (1) (3) (1) H = U + PV S U V S U V (2) G = A + PV ↗ ↗ ↖ (3) G = H - TS H ／ A H ＼ A (4) A = U - TS ／ ↖ ＼ P G T P G T 箭頭均往上指到的最後一行右為正左為負 (Ⅱ) 微分關係 (1) (2) (1) dG = VdP - SdT S U V S U V (2) dH = TdS + VdP ↖ ↗ ↘ ↗ (3) dU = TdS - PdV H A H A (4) dA = -PdV - SdT ↗ ↖ ↗? ↘ P G T P G T 以兩邊為微分變數其對角為相乘的因子 (Ⅲ) 偏微關係 ("⊿"表partial ; 括號後的小寫為固定變數) (1) (⊿G/⊿P)t = V (⊿G/⊿T)p = -S (2) (⊿H/⊿S)p = T (⊿H/⊿P)s = P 以此類推.... 同(Ⅱ).... 兩邊為變數對一變數偏微其對角為答案正負號由左右邊決定 (Ⅳ) Maxwell relations (1) (⊿T/⊿V)s = -(⊿P/⊿S)v (2) (⊿S/⊿V)t = (⊿P/⊿T)v (3) (⊿V/⊿S)p = (⊿T/⊿P)s (4) (⊿V/⊿T)p = -(⊿S/⊿P)t (1) (2) (3) (4) ┌─→ ｜ ←─┐ ───┐ ┌─── │S U V│ S U V│↑ ↑｜S U V │S U V│ │H A│ H A││ │｜H A │H A│ │P G T│ P G T↓│ │↓P G T │P G T│ ────┘ └──── │ ←─┘ └─→ - + + - 開頭若為水平為正若為垂直為負 -- 腦殘的定義： There are two parts in your brain, right and left. Your left brain has nothing right; your right brain has nothing left. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.114.216.109 ※ 編輯: lcf118899 來自: 140.114.216.109 (12/04 20:31)

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ba7271326

12/04 20:35, , 1^F

12/04 20:35, 1^F

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hedonist891

12/04 20:55, , 2^F

12/04 20:55, 2^F

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imsm007

12/04 21:02, , 3^F

12/04 21:02, 3^F