🌀 熵变计算器Entropy Change Calculator

使用说明与常见问题How-to & FAQ

「熵变计算器」是什么？What is the Entropy Change Calculator tool?

计算三类常见过程的熵变 ΔS：可逆等温过程 ΔS = q/T，物质加热或冷却 ΔS = m·c·ln(T₂/T₁)，理想气体等温膨胀 ΔS = nR·ln(V₂/V₁)。Calculate the entropy change ΔS for three common processes: reversible isothermal heat transfer ΔS = q/T, heating or cooling a substance ΔS = m·c·ln(T₂/T₁), and isothermal ideal-gas expansion ΔS = nR·ln(V₂/V₁).

如何使用「熵变计算器」？How do I use the Entropy Change Calculator tool?

在「熵变计算器」中，填写「过程」、「热量 q（J，吸热为正）」、「温度 °C」、「质量 g」、「比热容 J/(g·K)」等参数，结果会随输入实时计算并显示在下方。In the Entropy Change Calculator: Fill in "Process", "Heat q (J, positive if absorbed)", "Temperature °C", "Mass g", "Specific heat J/(g·K)"; results are recalculated instantly as you type.

三个公式分别用于什么？When does each formula apply?

q/T：可逆、等温地吸放热，例如冰在 0 °C 熔化（默认 6010 J 约为 1 mol 冰的熔化热）。m·c·ln(T₂/T₁)：无相变的加热或冷却，比热容视为常数。nR·ln(V₂/V₁)：理想气体等温膨胀或压缩。q/T: reversible heat flow at constant temperature, such as ice melting at 0 °C (the default 6010 J is about the heat to melt 1 mol of ice). m·c·ln(T₂/T₁): heating or cooling without a phase change, with constant specific heat. nR·ln(V₂/V₁): isothermal expansion or compression of an ideal gas.

温度为什么要用开尔文？Why kelvin?

熵的公式里温度出现在分母或对数里，必须用绝对温度。工具会把 °C 加上 273.15。Temperature sits in a denominator or a logarithm, so it must be absolute; the tool adds 273.15 to °C.

计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?

「熵变计算器」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The Entropy Change Calculator uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.

「熵变计算器」免费吗？需要注册吗？Is the Entropy Change Calculator free? Do I need an account?

「熵变计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Entropy Change Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.