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升温 沸点升高Boiling Point Elevation
ΔT_b = i · K_b · m。本地处理。可设置「范特霍夫 i」、「K_b」、「质量摩尔浓度 m」。ΔT_b = i · K_b · m. Processed locally. Settings: van ʼt Hoff i, K_b, Molality m.
使用说明与常见问题How-to & FAQ
「沸点升高」是什么？What is the Boiling Point Elevation tool?
ΔT_b = i · K_b · m。本地处理。可设置「范特霍夫 i」、「K_b」、「质量摩尔浓度 m」。ΔT_b = i · K_b · m. Processed locally. Settings: van ʼt Hoff i, K_b, Molality m.
如何使用「沸点升高」？How do I use the Boiling Point Elevation tool?
在「沸点升高」中，填写「范特霍夫 i」、「K_b」、「质量摩尔浓度 m」等参数，结果会随输入实时计算并显示在下方。In the Boiling Point Elevation: Fill in "van ʼt Hoff i", "K_b", "Molality m"; results are recalculated instantly as you type.
K_b 应该填多少？What value should I use for K_b?
K_b 是溶剂的沸点升高常数，单位 °C·kg/mol，例如水约 0.512、乙醇约 1.22、苯约 2.53。结果 ΔT_b = i × K_b × m，i 为范特霍夫因子（如 NaCl 约为 2）。K_b is the solvent's ebullioscopic constant in °C·kg/mol, e.g. about 0.512 for water, 1.22 for ethanol and 2.53 for benzene. The result is ΔT_b = i × K_b × m, where i is the van 't Hoff factor (about 2 for NaCl).
能举个计算实例吗？Can you show a worked example?
例如在「沸点升高」中填 范特霍夫 i = 2，K_b = 0.512，质量摩尔浓度 m = 1，结果区显示：ΔT_b：1.024For example, entering van ’t Hoff i = 2, K_b = 0.512, Molality m = 1 in the Boiling Point Elevation gives: ΔT_b: 1.024
哪些输入会被检查？Which inputs are validated?
「沸点升高」会检查这些输入——「范特霍夫 i」、「K_b」：必须填写，须大于 0；「质量摩尔浓度 m」：必须填写，不能为负数；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Boiling Point Elevation checks its inputs — "van ʼt Hoff i", "K_b": required, must be greater than 0; "Molality m": required, cannot be negative; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「沸点升高」的设置：「范特霍夫 i」默认 2；「K_b」默认 0.512；「质量摩尔浓度 m」默认 1。每次生成结果都按当前设置处理。Settings in the Boiling Point Elevation — "van ʼt Hoff i" default 2; "K_b" default 0.512; "Molality m" default 1. The result always uses the current settings.
计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?
「沸点升高」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 Boiling Point Elevation 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.
「沸点升高」免费吗？需要注册吗？Is the Boiling Point Elevation free? Do I need an account?
「沸点升高」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 Boiling Point Elevation is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.