定义Definition
物质的量浓度是单位体积溶液中所含溶质的物质的量,c = n/V,单位为 mol dm⁻³(即 mol L⁻¹),也写作 M。例如 0.100 mol dm⁻³ 的 NaCl 溶液表示每升溶液中含 0.100 mol NaCl。
Molar concentration is the amount of solute per unit volume of solution, c = n/V, in mol dm⁻³ (mol L⁻¹), also written M. A 0.100 mol dm⁻³ NaCl solution contains 0.100 mol of NaCl in each litre of solution.
计算Calculations
注意 V 是溶液的体积而不是溶剂的体积,单位要换成 dm³:25.0 cm³ = 0.0250 dm³。例:把 4.00 g NaOH(M = 40.0 g mol⁻¹)溶解配成 250 cm³ 溶液,n = 0.100 mol,c = 0.100 ÷ 0.250 = 0.400 mol dm⁻³。质量浓度(g dm⁻³)= 物质的量浓度 × 摩尔质量。
V is the volume of the solution, not the solvent, and must be in dm³: 25.0 cm³ = 0.0250 dm³. Example: 4.00 g of NaOH (M = 40.0 g mol⁻¹) made up to 250 cm³ gives n = 0.100 mol and c = 0.100 ÷ 0.250 = 0.400 mol dm⁻³. Mass concentration (g dm⁻³) = molar concentration × molar mass.
配制标准溶液Making a standard solution
准确称取溶质,在烧杯中用少量蒸馏水溶解,转移到容量瓶中,用蒸馏水洗涤烧杯和玻璃棒并把洗液一并转入,加水至接近刻度线后改用胶头滴管定容,使凹液面最低点与刻度线相切,最后塞紧瓶塞反复颠倒摇匀。
Weigh the solute accurately, dissolve it in a little distilled water in a beaker, and transfer it to a volumetric flask, rinsing the beaker and rod into the flask. Add water to near the mark, then use a dropper until the bottom of the meniscus sits on the line, stopper the flask and invert it repeatedly to mix.
稀释Dilution
稀释前后溶质的物质的量不变:c₁V₁ = c₂V₂。例如把 25.0 cm³ 2.00 mol dm⁻³ 的溶液稀释到 250 cm³,浓度变为 0.200 mol dm⁻³。由于溶液体积随温度变化,物质的量浓度也随温度略有变化;需要与温度无关的浓度时可改用质量摩尔浓度(mol kg⁻¹)。
The amount of solute is unchanged on dilution: c₁V₁ = c₂V₂. Diluting 25.0 cm³ of a 2.00 mol dm⁻³ solution to 250 cm³ gives 0.200 mol dm⁻³. Because solution volume changes with temperature, molar concentration does too; where a temperature-independent measure is needed, molality (mol kg⁻¹) is used instead.
年表Timeline
- 1971
摩尔成为国际单位制基本单位,物质的量浓度单位随之规范为 mol m⁻³ 及其倍数
The mole becomes an SI base unit, and concentration is standardised in mol m⁻³ and its multiples
- 1984
我国法定计量单位颁布,“当量浓度”等旧单位停止使用
China's statutory units of measurement are issued, retiring older units such as normality
相关公式Formulas
例题Worked example
把 5.85 g NaCl 溶于水配成 250 mL 溶液:n = 0.100 mol,c = 0.100/0.250 = 0.400 mol/L。
5.85 g NaCl made up to 250 mL: n = 0.100 mol, c = 0.400 mol/L.
例题Worked example
用 18.4 mol/L 浓硫酸配 500 mL 1.00 mol/L 稀硫酸:V₁ = 1.00×0.500/18.4 = 27.2 mL。
500 mL of 1.00 mol/L H₂SO₄ from 18.4 mol/L stock: V₁ = 27.2 mL.
例题Worked example
浓硫酸 w = 98%,ρ = 1.84 g/mL:c = 1000×1.84×0.98/98 = 18.4 mol/L。
Concentrated H₂SO₄ (w = 98 %, ρ = 1.84 g/mL): c = 18.4 mol/L.