状態の立方体のモラ容量に対する閉式解答
1College of Mechanical and Power Engineering, China Three Gorges University, Yichang, 443002, Hubei, People's Republic of China. thl19732003@aliyun.com.
Scientific reports
|August 29, 2025
まとめ
ゲヴァラ-ロドリゲス状態方程式は,他のモデルを上回って,ガスと液体のモラ容量を正確に予測します. 温度や圧力の広い範囲で,特に非常に低い条件で,信頼性の高い計算を提供します.
科学分野:
- 熱力学について
- 物理化学
- 化学工学
背景:
- 立方体の状態方程式は,モラー体積のような熱力学的性質を決定するために重要です.
- 既存のモデルでは 極端な状況下での行動を正確に捉えることができず 改善された配列が必要になります
- 立方関数の解析解は状態方程式の解に不可欠です.
研究 の 目的:
- 状態の立方体の根の完全な解析解を提示する.
- 特定の状態方程式を用いてモラ体積 (液体と蒸気) を計算するためにこれらの解を適用する.
- Guevara-Rodríguez状態方程式の精度を実験データと他のモデルと比較する.
主な方法:
- 立方関数の根の解析解の導出と表化
- 温度と圧力に基づくモラ体積を計算するための派生式の適用.
- 実験データと他の状態方程式から得られた結果による計算モラー容量の比較分析.
主要な成果:
- Guevara-Rodríguez状態方程式は,他のモデルと比較して,実験データとの優れた一致を示しています.
- この方程式は,非常に低い圧力と温度条件下でのモラー体積の3つの異なる実根を生成します.
- 最小の正の根は,液相のモラ体積を正しく識別する.
結論:
- ゲヴァラ-ロドリゲス状態方程式は,様々な物質と条件におけるモラー量を予測するための堅牢なモデルである.
- このモデルは,非常に低い圧力と温度 (0.000000356114,000 Paと87.8266.3 K) の範囲で特に有効であることが示されています.
- 分析的な解は,立方体の状態方程式を用いて段階的振る舞いを理解し,計算するための信頼性の高い枠組みを提供します.
関連する概念動画
Applications of the Ideal Gas Law: Molar Mass, Density, and Volume
57.3K
The volume occupied by one mole of a substance is its molar volume. The ideal gas law, PV = nRT, suggests that the volume of a given quantity of gas and the number of moles in a given volume of gas vary with changes in pressure and temperature. At standard temperature and pressure, or STP (273.15 K and 1 atm), one mole of an ideal gas (regardless of its identity) has a volume of about 22.4 L — this is referred to as the standard molar volume.
57.3K
Van der Waals Equation
4.5K
The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
4.5K
Equation of State
2.0K
The equation of state is an equation that relates physical quantities, such as pressure, volume, temperature, and the number of moles, of a thermodynamics system with each other. The equation relating physical quantities with each other can be a simple mathematical expression or too complicated to express in mathematical form. In either case, a relationship between physical quantities exists. If the equation of state cannot be expressed in a mathematical form, then experimental data and...
2.0K
Clausius-Clapeyron Equation
58.6K
The equilibrium between a liquid and its vapor depends on the temperature of the system; a rise in temperature causes a corresponding rise in the vapor pressure of its liquid. The Clausius-Clapeyron equation gives the quantitative relation between a substance’s vapor pressure (P) and its temperature (T); it predicts the rate at which vapor pressure increases per unit increase in temperature.
58.6K
Ideal Gas Equation
7.3K
The ideal gas equation is an equation of state that relates the state variables pressure, volume, temperature, and the number of moles of a hypothetical gas. This equation is a combination of four empirical laws, namely Boyle’s Law, Charles’s Law, Avogadro’s Law, and Gay-Lussac’s Law. When the proportionalities of the above four empirical laws are combined, it results in a single proportionality constant known as the universal gas constant.
7.3K
Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation
35.3K
Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws.
35.3K


