Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Heat of Fusion

熔化热

The energy required to change a gram of a substance from the solid to the liquid state without changing its temperature is commonly called it's "heat of fusion". This energy breaks down the solid bonds, but leaves a significant amount of energy associated with the intermolecular forces of the liquid state.

将一克物质从固态变为液态而不改变其温度所需的能量通常称为“熔解热”。这种能量会破坏固体中的化学键,但会留下与液态分子间作用力相关的大量能量。
Water phase changes
水的相变
Table of heats of fusion
熔化热表
Heat of fusion measurement
熔化热测量
Melting point depression by dissolved material
溶解物质导致的熔点降低
Water
水
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Phase change concepts
索引相变概念
 
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Heat of Fusion Measurement

熔化热测量

Measurement of the heat of fusion of water LF accurately requires that the ice to be melted is perfectly dry! The following shows that wet ice will yield a value below the standard value.

where L*F is the experimental value obtained assuming that all the mass measured as mice is in fact ice. But if an incremental mass Δm is already water (wet ice), then the real value of the heat of fusion is obtained from
The final expression for the experimental heat of fusion is

The experimental value L*F is seen to be too small since the denominator of the first expression for latent heat above contains the entire mass and is therefore too large. If 100 grams of water is started at 40 C and cooled to 10 C, an ice mass of 33.3 grams of perfectly dry ice would be required for a heat of fusion equal to 80 cal/gm. If one gram of the measured 33.3 gms were already melted, then the water would be cooled to 10.6 C and the experimental value for the heat of fusion would be 77.6 cal/gm.

实验值L* F被发现太小,因为上面第一个潜热表达式的分母包含整个质量,因此太大。如果100克水从40°C冷却到10°C,要产生等于80卡/克的潜热,需要33.3克完全干燥的冰。如果测量的33.3克中已有1克被熔化,那么水会冷却到10.6°C,实验测得的潜热值将为77.6卡/克。
Water phase changes
水的相变
Heat of fusion
熔化热
Specific heat
比热容
Water
水
测量水的熔化热L*F需要确保被熔化的冰是完全干燥的!以下结果表明,湿冰会给出一个低于标准值的结果。其中L*F是假设测量的m_ice质量实际上都是冰时得到的实验值。但如果增量质量Δm已经含有水(湿冰),则真实的熔化热值则由最终的实验表达式得到。
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Heat of Vaporization

汽化热

The energy required to change a gram of a liquid into the gaseous state at the boiling point is called the "heat of vaporization". This energy breaks down the intermolecular attractive forces, and also must provide the energy necessary to expand the gas (the PDV work). For an ideal gas , there is no longer any potential energy associated with intermolecular forces. So the internal energy is entirely in the molecular kinetic energy.

将一克液体在沸点变为气态所需的能量称为“汽化热”。这种能量会破坏分子间的吸引力,并且还必须提供使气体膨胀所需的能量(即PdV功)。对于理想气体,分子间作用力已不再存在潜在能量。因此,内能完全体现在分子的动能中。

The final energy is depicted here as being in translational kinetic energy, which is not strictly true. There is also some vibrational and rotational energy.

图中把最终能量全部画成平动动能,但严格说来并非如此:其中还有一部分振动能和转动能。

A significant feature of the vaporization phase change of water is the large change in volume that accompanies it. A mole of water is 18 grams, and at STP that mole would occupy 22.4 liters if vaporized into a gas. If the change is from water to steam at 100°C, rather than 0°C, then by the ideal gas law that volume is increased by the ratio of the absolute temperatures, 373K/273K, to 30.6 liters. Comparing that to the volume of the liquid water, the volume expands by a factor of 30600/18 = 1700 when vaporized into steam at 100°C. This is a physical fact that firefighters know, because the 1700-fold increase in volume when water is sprayed on a fire or hot surface can be explosive and dangerous.

水的汽化相变的一个显著特征是伴随的体积变化很大。一摩尔水是18克,如果在标准温度和压力下汽化为气体,这摩尔水将占据22.4升。如果相变是从水变为水蒸气在100°C进行,而不是在0°C进行,那么根据理想气体定律,体积会增加到绝对温度的比值,即373K/273K,达到30.6升。与液态水的体积相比,当水在100°C汽化为蒸汽时,体积扩大了30600/18 = 1700倍。这是 firefighters 所知道的物理事实,因为当水被喷洒在火或热表面上时,体积增加1700倍,这种膨胀可能是爆炸性和危险的。

One way to visualize this large volume change is to note the volume of 18 ml of water in a graduated cylinder as the volume occupied by Avogadro's number of water molecules in the liquid state. If converted into steam at 100°C this same mole of water molecules would fill a balloon 38.8 cm in diameter (15.3 inches).

要形象地理解这种体积变化的规模,可以注意到18毫升水在量筒中所占的体积,相当于阿伏伽德罗常数个水分子在液态时所占的体积。如果将这同一摩尔的水分子转化为蒸汽(在100°C时),它们将充满一个直径为38.8厘米(15.3英寸)的气球。
Water phase changes
水的相变
Table of heats of vaporization
汽化热表
Some energy modeling calculations
一些能量建模计算
The heat of vaporization at body
temperature is 580 cal/gm. Why?
在体温下的汽化热是580卡/克。为什么?
Water
水
Index

Phase change concepts
索引相变概念
 
HyperPhysics***** Thermodynamics
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