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🧊 凝固点降低Freezing Point Depression Calculator
ΔT = i × Kf × m（i 范特霍夫因子，Kf 溶剂常数，m 质量摩尔浓度 mol/kg）。水的 Kf = 1.86 °C·kg/mol。本地处理。ΔT = i × Kf × m (i dissociation (van-t-Hoff) factor, Kf solvent constant, m molality in mol/kg). Water Kf = 1.86 °C·kg/mol. Processed locally.
使用说明与常见问题How-to & FAQ
「凝固点降低」是什么？What is the Freezing Point Depression Calculator tool?
ΔT = i × Kf × m（i 范特霍夫因子，Kf 溶剂常数，m 质量摩尔浓度 mol/kg）。水的 Kf = 1.86 °C·kg/mol。本地处理。ΔT = i × Kf × m (i dissociation (van-t-Hoff) factor, Kf solvent constant, m molality in mol/kg). Water Kf = 1.86 °C·kg/mol. Processed locally.
如何使用「凝固点降低」？How do I use the Freezing Point Depression Calculator tool?
在「凝固点降低」中，填写「范特霍夫因子 i」、「Kf °C·kg/mol」、「质量摩尔浓度 mol/kg」、「纯溶剂凝固点 °C」等参数，结果会随输入实时计算并显示在下方。In the Freezing Point Depression Calculator: Fill in "Dissociation factor i", "Kf °C·kg/mol", "Molality mol/kg", "Pure solvent freezing point °C"; results are recalculated instantly as you type.
食盐的 i？i for salt?
NaCl 理想情况下 i = 2，实际浓溶液约 1.8-1.9。NaCl ideally gives i = 2; real concentrated solutions are about 1.8-1.9.
能举个计算实例吗？Can you show a worked example?
例如在「凝固点降低」中填 范特霍夫因子 i = 1，Kf °C·kg/mol = 1.86，质量摩尔浓度 mol/kg = 2，纯溶剂凝固点 °C = 0，结果区显示：凝固点降低 ΔT：3.72 °C；溶液凝固点：-3.72 °CFor example, entering Dissociation factor i = 1, Kf °C·kg/mol = 1.86, Molality mol/kg = 2, Pure solvent freezing point °C = 0 in the Freezing Point Depression Calculator gives: Depression ΔT: 3.72 °C; Solution freezing point: -3.72 °C
哪些输入会被检查？Which inputs are validated?
「凝固点降低」会检查这些输入——「范特霍夫因子 i」、「Kf °C·kg/mol」、「质量摩尔浓度 mol/kg」：必须填写，须大于 0；「纯溶剂凝固点 °C」：必须填写；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 Freezing Point Depression Calculator checks its inputs — "Dissociation factor i", "Kf °C·kg/mol", "Molality mol/kg": required, must be greater than 0; "Pure solvent freezing point °C": required; 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?
「凝固点降低」的设置：「范特霍夫因子 i」默认 1；「Kf °C·kg/mol」默认 1.86；「质量摩尔浓度 mol/kg」默认 2；「纯溶剂凝固点 °C」默认 0。每次生成结果都按当前设置处理。Settings in the Freezing Point Depression Calculator — "Dissociation factor i" default 1; "Kf °C·kg/mol" default 1.86; "Molality mol/kg" default 2; "Pure solvent freezing point °C" default 0. 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?
「凝固点降低」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 Freezing Point Depression 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.
「凝固点降低」免费吗？需要注册吗？Is the Freezing Point Depression Calculator free? Do I need an account?
「凝固点降低」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 Freezing Point Depression 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.