What you'll be able to do本章學習成果
- Define system, surroundings, boundary, and distinguish closed systems from control volumes.定義系統、外界與邊界,並區分封閉系統與控制體積。
- Recognize what a property is and the kinds of equilibrium that define a state.辨識性質的意涵,以及定義狀態的各類平衡。
- State the state postulate and recognize equilibrium.陳述狀態假設並辨識平衡狀態。
- Define process, path, and cycle, and state the zeroth law and temperature scales.定義過程、路徑與循環,陳述第零定律與溫標。
Key terms關鍵術語
Systems & boundaries系統與邊界
Thermodynamics is the science of energy. The system is whatever we choose to study; the surroundings are everything external; the boundary separates them.熱力學是能量的科學。系統是我們選擇研究的對象;外界是一切外部環境;邊界將兩者分隔。
- Closed system (control mass): a fixed amount of mass. No mass crosses the boundary, though energy still can.封閉系統(控制質量):固定的質量。質量不穿越邊界,但能量仍可。
- Open system (control volume): a region in space through which both mass and energy can flow.開放系統(控制體積):空間中的一個區域,質量與能量皆可穿越。
We treat matter as a continuum, ignoring atomic graininess — valid when the system is large compared with the molecular mean free path (Knudsen number ≤ 0.01).我們將物質視為連續體,忽略原子尺度的不均勻性——在系統遠大於分子平均自由路徑時成立(努森數 ≤ 0.01)。
Properties性質
A property is any characteristic of a system — pressure, temperature, volume, mass. Properties are either intensive (independent of size) or extensive (proportional to extent); dividing extensive by mass gives a specific intensive property. See Thermodynamic Properties: Fundamentals for the full definitions and interactive lab.性質是系統的任何特徵——壓力、溫度、體積、質量。性質分為強度性質(與大小無關)與廣延性質(與大小成比例);廣延性質除以質量得到比強度性質。完整定義與互動實驗請見熱力學性質:基礎。
State & equilibrium狀態與平衡
The state is the condition of a system described by its properties. Thermodynamics deals with equilibrium states — no unbalanced driving forces. Full equilibrium requires: thermal (uniform T), mechanical (uniform p), phase (stable phases), and chemical (no net reaction).狀態是由性質描述的系統條件。熱力學處理平衡狀態——無不平衡驅動力。完全熱力學平衡需同時滿足:熱平衡(溫度均勻)、力學平衡(壓力均勻)、相平衡(穩定相量)與化學平衡(無淨反應)。
The state postulate狀態假設
The state of a simple compressible system is completely specified by two independent, intensive properties.簡單可壓縮系統的狀態由兩個獨立的強度性質完全確定。
Fix any two independent intensive properties (say $T$ and $p$, or $T$ and $v$) and every other property is determined. This is the principle the psychrometric chart and property tables rely on. At saturation, $T$ and $p$ are not independent — a different second property is needed.固定任意兩個獨立強度性質(如 $T$ 與 $p$,或 $T$ 與 $v$),其他所有性質即被確定。這正是濕空氣線圖與性質表的依據。在飽和區,$T$ 與 $p$ 並非獨立——需另選第二個性質。
Process & path過程與路徑
A process is any change from one equilibrium state to another; the path is the series of states passed through. A quasi-equilibrium process stays infinitesimally close to equilibrium — the idealization that lets us draw a process as a line on a diagram. Iso- prefixes name constant-property processes: isothermal (T), isobaric (p), isochoric (v). A cycle returns to its initial state.過程是從一個平衡狀態到另一個平衡狀態的任何變化;路徑是所經歷的一系列狀態。準平衡過程在整個過程中始終無限接近平衡——這一理想化使我們能在性質圖上以線段表示過程。等字頭命名定性質過程:等溫(T)、等壓(p)、等容(v)。循環使系統回到初始狀態。
Temperature & the zeroth law溫度與第零定律
If two bodies are each in thermal equilibrium with a third body, they are in thermal equilibrium with each other. This is the basis of all temperature measurement.若兩個物體各自與第三個物體達到熱平衡,則此兩物體也彼此達到熱平衡。這是所有溫度量測的基礎。
The absolute Kelvin scale: $T(\mathrm{K}) = T(°\mathrm{C}) + 273.15$. Pressures are absolute (from vacuum) or gage (relative to atmosphere): $p_{abs} = p_{atm} + p_{gage}$.絕對克耳文溫標:$T(\mathrm{K}) = T(°\mathrm{C}) + 273.15$。壓力分為絕對壓力(以真空為基準)或表壓(以大氣壓為基準):$p_{abs} = p_{atm} + p_{gage}$。
Gauge to absolute pressure表壓換算絕對壓力
Example範例 Reading a pressure gauge讀取壓力表 ›
Given: a tank gauge reads 1.50 bar where the local atmosphere is 1.013 bar; the tank sits at 25 °C.已知:儲槽壓力表讀數為 1.50 bar,當地大氣壓為 1.013 bar;槽溫 25 °C。
Find: the absolute pressure and absolute temperature.求:絕對壓力與絕對溫度。
Solution. $$p_{abs}=p_{atm}+p_{gage}=1.013+1.50=2.51\text{ bar.}$$ $$T=25+273.15=298.15\text{ K.}$$ Thermodynamic relations always use absolute values.解: $$p_{abs}=p_{atm}+p_{gage}=1.013+1.50=2.51\text{ bar}$$ $$T=25+273.15=298.15\text{ K}$$ 熱力學關係式一律使用絕對值。