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🧪 Ka Kb Pka Pkb 計算機

專業免費的 Ka Kb Pka Pkb 計算機。純前端本機毫秒級計算、零資料上傳、極致隱私保護。提供詳細公式推導、實例示範與常見問答。

即時推算結果 (Computed Output)
4.7447 at 25 °C (Kw = 1×10⁻¹⁴)
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📜 計算歷史記錄 (試算軌跡)
尚無歷史記錄,每次點擊「計算」將在此留下試算軌跡...

What this calculator does

This tool converts between the four common acid-base strength descriptors: the acid dissociation constant Ka, the base dissociation constant Kb, and their logarithmic forms pKa and pKb. Enter any single value and the calculator returns the other three for the conjugate acid-base pair, assuming aqueous solution at 25 °C where the ion product of water Kw = 1×10^{-14}.

How to use it

Pick which quantity you know from the dropdown, then type its value. For Ka or Kb, use scientific notation such as 1.8e-5. For pKa or pKb, enter the plain number such as 4.74. The result panel shows pKa as the headline value and lists Ka, Kb, pKa and pKb together so you can read off whichever you need.

The formulas explained

The "p" prefix means "negative base-10 logarithm," so

pKa = -\log_{10}\!≤ft(Ka\right)
and inversely
Ka = 10^{-pKa}
A smaller pKa means a stronger acid. Because every weak acid has a conjugate base, their constants are linked by water's autoionization:
Ka × Kb = Kw = 1×10^{-14}
which in logarithmic form becomes
pKa + pKb = 14
Knowing one therefore fixes all four.

Worked example

Acetic acid has Ka = 1.8×10^{-5}. Then

pKa = -\log_{10}\!≤ft(1.8×10^{-5}\right) ≈ 4.745
Its conjugate base (acetate) has
pKb = 14 - 4.745 = 9.255
and
Kb = 10^{-9.255} ≈ 5.56×10^{-10}
These match the calculator output.

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。

常見問題 (FAQ)

Does the 14 always apply?
The value 14 (and \(\text{Kw} = 10^{-14}\)) holds only at 25 °C. At other temperatures Kw changes, so \(\text{pKa} + \text{pKb}\) shifts slightly.
Strong vs weak?
A low pKa (or large Ka) means a strong acid; a high pKa means a weak acid. The same logic applies to pKb for bases.
Can I enter pKb to find Ka?
Yes — choose pKb in the dropdown and the tool back-calculates pKa, Ka and Kb automatically.