🧪 稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂)

使用说明与常见问题How-to & FAQ

「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」是什么？What is the Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂) tool?

三种算法：按 1:n 的稀释比和想要的总量算出原液和水各需多少（可选“1 份原液 + n 份水”或“原液占总量 1/n”两种说法）；由已知原液和水的体积求比例与浓度；或用 C₁V₁ = C₂V₂ 求需要的原液体积。本地处理。Three ways: from a 1:n ratio and the total you want, get how much concentrate and water to use (as 1 part concentrate plus n parts water, or concentrate as 1/n of the total); from known volumes, get the ratio and strength; or use C₁V₁ = C₂V₂ to find the concentrate volume. Processed locally.

如何使用「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」？How do I use the Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂) tool?

在「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」中，填写「算法」、「比例 1 : n 中的 n」、「比例的含义」、「想要的总量」、「原液体积」等参数，结果会随输入实时计算并显示在下方。In the Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂): Fill in "Method", "n in 1 : n", "Ratio meaning", "Total wanted", "Concentrate volume"; results are recalculated instantly as you type.

1:4 是什么意思？What does 1:4 mean?

说法有两种：多数清洁剂、园艺用品指 1 份原液加 4 份水（共 5 份，原液占 1/5）；实验室有时指原液占总量的 1/4。请看产品说明，并在“比例的含义”里选择。It is used two ways: most cleaning and garden products mean 1 part concentrate plus 4 parts water (5 parts, concentrate 1/5); labs sometimes mean the concentrate is 1/4 of the total. Check the label and pick the meaning.

C₁V₁ = C₂V₂ 怎么用？How do I use C₁V₁ = C₂V₂?

稀释前后溶质的量不变，所以 V₁ = C₂ × V₂ ÷ C₁。量出 V₁ 的原液，加水到总体积 V₂ 即可。C₁ 和 C₂ 的单位要一致。The amount of solute stays the same, so V₁ = C₂ × V₂ / C₁. Measure V₁ of stock and top up with water to V₂. C₁ and C₂ must use the same units.

体积单位用什么？Which volume unit should I use?

任意单位都可以（mL、L、oz 等），结果使用相同的单位。Any unit works (mL, L, oz and so on); the results use the same unit.

能举个计算实例吗？Can you show a worked example?

例如在「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」中填 算法 = 按比例配制，比例 1 : n 中的 n = 4，比例的含义 = 1 份原液 + n 份水，想要的总量 = 500，结果区显示：原液：100；水：400；最终浓度：20 %；ℹ 按“1 份原液 + 4 份水”，共 5 份。For example, entering Method = Mix to a ratio, n in 1 : n = 4, Ratio meaning = 1 part concentrate + n parts…, Total wanted = 500 in the Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂) gives: Concentrate: 100; Water: 400; Final strength: 20 %; ℹ As 1 part concentrate plus 4 parts water, 5 parts in all.

哪些输入会被检查？Which inputs are validated?

「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」会检查这些输入——「比例 1 : n 中的 n」：所选方式用到时必须填写，须大于 0，须为整数；「想要的总量」、「原液体积」、「原液浓度 C₁」、「目标浓度 C₂」、「目标体积 V₂」：所选方式用到时必须填写，须大于 0；「水（稀释剂）体积」：所选方式用到时必须填写，不能为负数；「原液浓度 %」：可留空；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 Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂) checks its inputs — "n in 1 : n": required when the chosen option uses it, must be greater than 0, must be a whole number; "Total wanted", "Concentrate volume", "Stock concentration C₁", "Target concentration C₂", "Target volume V₂": required when the chosen option uses it, must be greater than 0; "Water (diluent) volume": required when the chosen option uses it, cannot be negative; "Concentrate strength %": optional; numbers above 10¹⁵ in absolute value are…

有哪些选项可以调整？What options can I adjust?

「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」的设置：「算法」可选 按比例配制、已知体积求比例、C₁V₁ = C₂V₂（默认 按比例配制）；「比例 1 : n 中的 n」默认 4；「比例的含义」可选 1 份原液 + n 份水、原液占总量的 1/n（默认 1 份原液 + n 份水）；「想要的总量」默认 500；「原液体积」默认 1；「水（稀释剂）体积」默认 4；「原液浓度 %」默认 100；「原液浓度 C₁」默认 10；「目标浓度 C₂」默认 2；「目标体积 V₂」默认 500。每次生成结果都按当前设置处理。Settings in the Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂) — "Method": Mix to a ratio, Ratio from volumes, C₁V₁ = C₂V₂ (default Mix to a ratio); "n in 1 : n" default 4; "Ratio meaning": 1 part concentrate + n parts water, Concentrate is 1/n of the total (default 1 part concentrate + n parts water); "Total wanted" default 500; "Concentrate volume" default 1; "Water (diluent) volume" default 4; "Concentrate strength %" default 100; "Stock concentration C₁" default 10; "Target concentration C₂" default 2…

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

「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」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 Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂) 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.

「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」免费吗？需要注册吗？Is the Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂) free? Do I need an account?

「稀释比例计算器（1:n 配比、C₁V₁ = C₂V₂）」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 Dilution Ratio Calculator (1:n Mixing, C₁V₁ = C₂V₂) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.