“Clapeyron–Clausius equation”的概念、定义、翻译、参考文献-科学参考

Clapeyron–Clausius equation

Physics

A differential equation that describes the relationship between variables when there is a change in the state of a system. In a system that has two phases of the same substance, for example solid and liquid, heat is added or taken away very slowly so that one phase can change reversibly into the other while the system remains at equilibrium. If the two phases are denoted A and B, the Clapeyron–Clausius equation is:

$d p / d T = L / T (V_{B} - V_{A}),$

where p is the pressure, T is the thermodynamic temperature, L is the heat absorbed per mole in the change from A to B, and V_B and V_A are the volumes of B and A respectively. In the case of a transition from liquid to vapour, the volume of the liquid can be ignored. Taking the vapour to be an ideal gas, the Clapeyron–Clausius equation can be written:

${dlog}_{e} p / d T = L / R T^{2} .$

The Clapeyron–Clausius equation is named after the French engineer Benoit-Pierre-Émile Clapeyron (1799–1864) and the German physicist Rudolf Julius Emmanuel Clausius (1822–88).

Chemistry

A differential equation that describes the relationship between variables when there is a change in the state of a system. In a system that has two phases of the same substance, for example solid and liquid, heat is added or taken away very slowly so that one phase can change reversibly into the other while the system remains at equilibrium. If the two phases are denoted A and B, the Clapeyron–Clausius equation is:
$d p / d T = L / T (V_{B} - V_{A}),$
where p is the pressure, T is the thermodynamic temperature, L is the heat absorbed per mole in the change from A to B, and V_B and V_A are the volumes of B and A respectively. In the case of a transition from liquid to vapour, the volume of the liquid can be ignored. Taking the vapour to be an ideal gas, the Clapeyron–Clausius equation can be written:
${dlog}_{e} p / d T = L / R T^{2}$
The Clapeyron–Clausius equation is named after the French engineer Benoit-Pierre-Émile Clapeyron (1799–1864) and Rudolf Clausius.

Chemical Engineering

See clausius–clapeyron equation.

Geology and Earth Sciences

Equation that relates the pressure and temperature at which a phase change occurs in a closed system. dP/dT = Δ‎H_v/TΔ‎V, where P is the pressure, T the absolute temperature, Δ‎H_v the heat absorbed per mole during the phase change, and Δ‎V the change in molar volume.

单词	Clapeyron–Clausius equation
释义	Clapeyron–Clausius equation Physics A differential equation that describes the relationship between variables when there is a change in the state of a system. In a system that has two phases of the same substance, for example solid and liquid, heat is added or taken away very slowly so that one phase can change reversibly into the other while the system remains at equilibrium. If the two phases are denoted A and B, the Clapeyron–Clausius equation is: $d p / d T = L / T (V_{B} - V_{A}),$ where p is the pressure, T is the thermodynamic temperature, L is the heat absorbed per mole in the change from A to B, and V_B and V_A are the volumes of B and A respectively. In the case of a transition from liquid to vapour, the volume of the liquid can be ignored. Taking the vapour to be an ideal gas, the Clapeyron–Clausius equation can be written: ${dlog}_{e} p / d T = L / R T^{2} .$ The Clapeyron–Clausius equation is named after the French engineer Benoit-Pierre-Émile Clapeyron (1799–1864) and the German physicist Rudolf Julius Emmanuel Clausius (1822–88). Chemistry A differential equation that describes the relationship between variables when there is a change in the state of a system. In a system that has two phases of the same substance, for example solid and liquid, heat is added or taken away very slowly so that one phase can change reversibly into the other while the system remains at equilibrium. If the two phases are denoted A and B, the Clapeyron–Clausius equation is: $d p / d T = L / T (V_{B} - V_{A}),$ where p is the pressure, T is the thermodynamic temperature, L is the heat absorbed per mole in the change from A to B, and V_B and V_A are the volumes of B and A respectively. In the case of a transition from liquid to vapour, the volume of the liquid can be ignored. Taking the vapour to be an ideal gas, the Clapeyron–Clausius equation can be written: ${dlog}_{e} p / d T = L / R T^{2}$ The Clapeyron–Clausius equation is named after the French engineer Benoit-Pierre-Émile Clapeyron (1799–1864) and Rudolf Clausius. Chemical Engineering See clausius–clapeyron equation. Geology and Earth Sciences Equation that relates the pressure and temperature at which a phase change occurs in a closed system. dP/dT = Δ‎H_v/TΔ‎V, where P is the pressure, T the absolute temperature, Δ‎H_v the heat absorbed per mole during the phase change, and Δ‎V the change in molar volume.
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