What is the Mixture Problem Calculator?
This calculator solves classic mixture (or "alligation") problems where two solutions of different concentrations are blended together. Given the volume and concentration of each solution, it computes the concentration of the resulting mixture, the total volume, and the total amount of pure solute. It is useful for chemistry labs, pharmacology dosing, agriculture spray mixing, cooking, and any situation where you combine liquids of differing strengths.
How to use it
Enter the volume of Solution 1 and its concentration as a percentage, then do the same for Solution 2. The units of volume can be anything (mL, L, gallons) as long as both volumes use the same unit. Concentrations are entered as percentages. Click calculate to see the blended concentration.
The formula explained
The amount of pure solute is conserved when mixing. The solute from each solution is its concentration times its volume. Adding the two and dividing by the total volume gives the final concentration:
If instead you know a target final concentration and want to find how much of Solution 1 to add, rearrange to x = ((V_2(c_2 - c_f)) ÷ (c_f - c_1)).
Worked example
Mix 100 mL of a 10% solution with 300 mL of a 50% solution. Pure solute = (10×100 + 50×300)/100 = (1000 + 15000)/100 = 160 units. Total volume = 400 mL. Final concentration =
使用注意事項與精準校對原則（6 大核心守則）
📐 1. 嚴格對齊輸入量綱與單位
輸入各項數值時請務必確認量綱（例如小時、天數、金額、百分比），避免單位不匹配引發推算偏差。
🔒 2. 純前端本機毫秒級隱私保障
所有計算邏輯 100% 在您的終端瀏覽器內完成，資料絕不上傳伺服器，嚴格守護商業與個人隱私。
📊 3. 符合公認學術與產業計算模型
演算法嚴格遵循國際通用數學公式與標準計算模型，經多重情境交叉核對，數值嚴密精確。
📋 4. 一鍵複製與免登入 PDF 匯出
支援一鍵複製推算結果字串至剪貼簿，亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。
🔄 5. 多情景敏感度動態對比
建議針對極端值與多組預期情景分別試算，觀察輸出數據的波動區間，輔助做出更穩健的決策。
🛡️ 6. 專業諮詢與日常參考免責聲明
本工具運算結果供日常排程、學業研習與事前參考之用，如涉及重大法規或投資決策請諮詢持證專家。