熵和热力学第三定律 | Entropy and Third Law of Thermodynamics

熵 | Entropy

熵变 | Entropy change

对于等温过程,有

熵增法则 | Entropy Increase Principle

The entropy of an isolated system always increases or, there is an entropy generation, except in the limiting case of a reversible process, remains constant.

A system and its surroundings can be viewed as the two subsystems of an isolated system, and the entropy change is the sum:

热力学第三定律 | Third law of thermodynamics

The entropy of a pure crystalline substance at absolute zero temperature is zero.

液体和固体的熵的变化 | Entropy change in liquids/solids

公式推导

理想气体熵的变化 | Entropy change in ideal gases

理想气体的恒熵过程 | Isentropic processes of ideal gases


例题1

A heat source at 800K loses 2000kJ of heat to a sink at (a) 500K and (b) 750K. Determine which heat transfer process is more irreversible.

熵变例题1图例

这一题需要使用等温熵变公式 同时对 heat source 和 sink 做熵变的计算,再相加为总的熵变。

注意⚠️:这种题要注意计算总熵变

(a)

(b)

例题2

0.5 kg of coffee initially at 90℃, cools off to room temperature 20℃.

Calculate entropy changes of coffee and surroundings, and total entropy change.

本题需要使用固液体熵变公式

对于咖啡,

咖啡能量损失

对于周围环境,

总的熵变

例题3

A 50-kg iron block and a 20-kg copper block, both initially at 80°C, are dropped into a large lake at 15°C. Thermal equilibrium is established after a while as a result of heat transfer between the blocks and the lake water. Determine the total entropy change for this process. and .

本题需要综合使用等温熵变和固液体熵变公式。

对于 iron 和 copper,其熵变:

对于湖,计算其熵变需要先计算其吸收的热能:

则其熵变:

最后,总熵变:

例题4

Air is compressed in a car engine from 22°C and 95 kPa in a reversible and adiabatic manner. If the compression ratio of this engine is 8, determine the final temperature of the air. (Using )

使用理想气体恒熵过程公式 ,

可得

即可求得答案。

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