Q 比热容计算器（求热量、比热、质量或温差，含常见物质）Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials)

使用说明与常见问题How-to & FAQ

「比热容计算器（求热量、比热、质量或温差，含常见物质）」是什么？What is the Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials) tool?

用 Q = m·c·ΔT 求任意一个未知量：热量 Q、比热容 c、质量 m 或温度变化 ΔT（也可输入初温和末温）。内置水、冰、铝、铜、铁、空气等常见物质比热，结果同时给出 kJ、kcal 和 Wh。本地处理。Uses Q = m·c·ΔT to solve for any one unknown: heat Q, specific heat c, mass m or temperature change ΔT (or enter start and end temperatures). Includes specific heats of water, ice, aluminium, copper, iron, air and more, and shows results in kJ, kcal and Wh. Processed locally.

如何使用「比热容计算器（求热量、比热、质量或温差，含常见物质）」？How do I use the Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials) tool?

在「比热容计算器（求热量、比热、质量或温差，含常见物质）」中，填写「求」、「物质（填入比热）」、「质量 kg」、「比热 J/(kg·K)」、「温差 K」等参数，结果会随输入实时计算并显示在下方。In the Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials): Fill in "Solve for", "Material (sets c)", "Mass kg", "Specific heat", "ΔT K"; results are recalculated instantly as you type.

比热容公式是什么？What is the specific heat formula?

Q = m·c·ΔT：热量（J）= 质量（kg）× 比热容（J/(kg·K)）× 温度变化（K 或 °C）。1 kg 水升温 10 °C 需要 41,840 J ≈ 10 kcal。Q = m·c·ΔT: heat in joules = mass in kg × specific heat in J/(kg·K) × temperature change in K or °C. Warming 1 kg of water by 10 °C takes 41,840 J ≈ 10 kcal.

为什么水的比热这么大？Why is the specific heat of water so high?

水分子之间的氢键要吸收很多能量才能加快运动，所以水的比热（4184 J/(kg·K)）约是铜的 11 倍，升温和降温都很慢。Hydrogen bonds between water molecules soak up energy, so water's specific heat (4184 J/(kg·K)) is about 11 times copper's and it warms and cools slowly.

包括融化或沸腾吗？Does it include melting or boiling?

不包括。相变时温度不变却要吸收潜热：冰融化 334 kJ/kg，水汽化 2257 kJ/kg，需要另外加上。No. Phase changes absorb latent heat at constant temperature, 334 kJ/kg to melt ice and 2257 kJ/kg to boil water, which must be added separately.

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

例如在「比热容计算器（求热量、比热、质量或温差，含常见物质）」中填 质量 kg = 1，比热 J/(kg·K) = 4184，温差 K = 10，结果区显示：热量 J：41,840For example, entering Mass kg = 1, Specific heat = 4184, ΔT K = 10 in the Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials) gives: Heat J: 41,840

哪些输入会被检查？Which inputs are validated?

「比热容计算器（求热量、比热、质量或温差，含常见物质）」会检查这些输入——「质量 kg」：所选方式用到时必须填写，须大于 0；「比热 J/(kg·K)」、「温差 K」、「初温 °C（可选）」、「末温 °C（可选）」：可留空；「热量 J」：所选方式用到时必须填写；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 Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials) checks its inputs — "Mass kg": required when the chosen option uses it, must be greater than 0; "Specific heat", "ΔT K", "Start temperature °C (optional)", "End temperature °C (optional)": optional; "Heat J": required when the chosen option uses it; 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?

「比热容计算器（求热量、比热、质量或温差，含常见物质）」的设置：「求」可选 热量 Q、比热 c、质量 m、温差 ΔT（默认 热量 Q）；「物质（填入比热）」可选 自定义、水 4184、冰 2100、水蒸气 2010、铝 897、铜 385等（默认 自定义）；「质量 kg」默认 1；「比热 J/(kg·K)」默认 4184；「温差 K」默认 10；「初温 °C（可选）」可留空；「末温 °C（可选）」可留空；「热量 J」默认 41840。每次生成结果都按当前设置处理。Settings in the Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials) — "Solve for": Heat Q, Specific heat c, Mass m, Temperature change ΔT (default Heat Q); "Material (sets c)": Custom, Water 4184, Ice 2100, Steam 2010, Aluminium 897, Copper 385, etc. (default Custom); "Mass kg" default 1; "Specific heat" default 4184; "ΔT K" default 10; "Start temperature °C (optional)" optional; "End temperature °C (optional)" optional; "Heat J" default 41840. The result always uses the current…

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

「比热容计算器（求热量、比热、质量或温差，含常见物质）」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 Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials) 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.

「比热容计算器（求热量、比热、质量或温差，含常见物质）」免费吗？需要注册吗？Is the Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials) free? Do I need an account?

「比热容计算器（求热量、比热、质量或温差，含常见物质）」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 Specific Heat Calculator (Solve for Heat, c, Mass or ΔT, With Common Materials) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.