更改

  <math>\frac{dS}{dt} = \dot S_{i}</math> with <math> \dot S_{i} \ge 0</math>

  <math>\frac{dS}{dt} = \dot S_{i}</math> with <math> \dot S_{i} \ge 0</math>

with <math> \dot S_{i}</math> the sum of the rate of [[entropy production]] by all processes inside the system. The advantage of this formulation is that it shows the effect of the entropy production. The rate of entropy production is a very important concept since it determines (limits) the efficiency of thermal machines. Multiplied with ambient temperature <math>T_{a}</math> it gives the so-called dissipated energy <math> P_{diss}=T_{a}\dot S_{i}</math>.

with <math> \dot S_{i}</math> the sum of the rate of [[entropy production]] by all processes inside the system. The advantage of this formulation is that it shows the effect of the entropy production. The rate of entropy production is a very important concept since it determines (limits) the efficiency of thermal machines. Multiplied with ambient temperature <math>T_{a}</math> it gives the so-called dissipated energy <math> P_{diss}=T_{a}\dot S_{i}</math>.

with <math> \dot S_{i}</math> the sum of the rate of entropy production by all processes inside the system. The advantage of this formulation is that it shows the effect of the entropy production. The rate of entropy production is a very important concept since it determines (limits) the efficiency of thermal machines. Multiplied with ambient temperature <math>T_{a}</math> it gives the so-called dissipated energy <math> P_{diss}=T_{a}\dot S_{i}</math>.

with <math> \dot S_{i}</math> the sum of the rate of entropy production by all processes inside the system. The advantage of this formulation is that it shows the effect of the entropy production. The rate of entropy production is a very important concept since it determines (limits) the efficiency of thermal machines. Multiplied with ambient temperature <math>T_{a}</math> it gives the so-called dissipated energy <math> P_{diss}=T_{a}\dot S_{i}</math>.

用[math]\dot S{i}[/math]表示系统内所有进程产生熵的速率之和。这个公式的优点是它显示了熵产生的影响。熵产生率是一个非常重要的概念，因为它决定（限制）热机的效率，乘以环境温度[math]T{a}[/math]，得到所谓的耗散能[math]P{diss}=T{a}\dots S{i}[/math]。

用<math> \dot S_{i}</math>表示系统内所有进程<font color = 'red'><s>产生熵</s></font>'''<font color = '#ff8000'>熵产生Entropy Production</font>'''的速率之和。这个公式的优点是它显示了熵产生的<font color = 'red'><s>影响</s></font>'''<font color = 'blue'>效果</font>。熵产生率是一个非常重要的概念，因为它决定（或限制）热机的效率。乘以环境温度<math>T_{a}</math>，<font color = 'red'><s>得到</s></font>'''<font color = 'blue'>它给出</font>所谓的耗散能<math> P_{diss}=T_{a}\dot S_{i}</math>。

  <math>T</math> is the temperature at the point where the heat enters the system.

  <math>T</math> is the temperature at the point where the heat enters the system.

<math>T</math> 是热量进入系统时的温度。

<math>T</math> 是热<s>量</s>进入系统时的温度。

The equality sign holds in the case that only reversible processes take place inside the system. If irreversible processes take place (which is the case in real systems in operation) the >-sign holds.  If heat is supplied to the system at several places we have to take the algebraic sum of the corresponding terms.

The equality sign holds in the case that only reversible processes take place inside the system. If irreversible processes take place (which is the case in real systems in operation) the >-sign holds.  If heat is supplied to the system at several places we have to take the algebraic sum of the corresponding terms.

等式符号在只有可逆过程在系统内发生的情况下成立。如果发生不可逆过程(在实际操作系统中就是这种情况) ,符号保持不变。如果系统有多处供热，必须求相应项的代数和。

<font color = 'red'><s>等式符号在只有可逆过程在系统内发生的情况下成立。</s></font><font color = 'blue'>只有在系统内发生可逆过程的情况下等号才成立</font>如果发生不可逆过程<s>(</s><font color = 'blue'>（</font>在实际操作系统中就是这种情况）,<font color = 'red'><s>符号保持不变</font><font color = 'blue'>则“＞”成立。如果系统有多处供热，必须求相应项的代数和。