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Henderson-Hasselbalch Buffer pH Calculator

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### General & Analytical Chemistry: The Henderson-Hasselbalch Equation Derived from the equilibrium constant expression for weak acid ionization), the.

Reviewed by Ahmad Faraz · BSCS
Last updated:
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⚙ Input Values

📊 Results

Primary Henderson-Hasselbalch Result
Solution pH = 4.936 | Ratio [A⁻]/[HA] = 1.500 (pKa: 4.76)
Calculated Solution pH
4.936
Calculated Solution pOH (at 25°C)
9.064
Conjugate Base to Acid Ratio ([A⁻] / [HA])
1.5000 : 1 ([A⁻] / [HA])
Hydronium Ion Concentration [H₃O⁺]
1.1585e-5 M (mol/L)
Optimal Buffering Window (pKa ± 1.0)
pH 3.76 to 5.76 (pKa ± 1.0)
Buffering Capacity Assessment
MAXIMUM BUFFERING CAPACITY: pH is extremely close to pKa (ratio ≈ 1.0). Optimal resistance to both added acid and base.
✦ Biochemical Buffer & Equilibrium Diagnostic
Biochemical Equilibrium: For a weak acid/conjugate base buffer system with pKa = 4.76 (Ka = 1.738e-5), with [A⁻] = 0.150 M and [HA] = 0.100 M (Base/Acid ratio = 1.5000), the Henderson-Hasselbalch equation yields pH = 4.936 (pOH = 9.064 | [H₃O⁺] = 1.159e-5 M). Optimal buffering zone is pH 3.76 to 5.76. MAXIMUM BUFFERING CAPACITY: pH is extremely close to pKa (ratio ≈ 1.0). Optimal resistance to both added acid and base.
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📐 Formula

Henderson-Hasselbalch acid-base equilibrium equations: = pK_a + _10(([A^-] ÷ [HA)]) = pK_a + _10( [Conjugate Base][Weak Acid]) Base/Acid Ratio: ([A^-] ÷ [HA)] = 10^(pH - pK_a) pOH (at 25^ ) = 14.00 - pH, [H_3O^+] = 10^-pH Buffering Window = pK_a 1.00 (0.10 ≤ [A^-]/[HA] ≤ 10.0)

💡 Practical Example

✅

For example, preparing an acetic acid / sodium acetate buffer) with \ sodium acetate and \ acetic acid: \ = 4.76 + \log_{10}(1.50) = 4.76 + 0.176 = \mathbf{4.936}\). Solution pOH is 9.064, with hydronium concentration \.

📖 About Henderson-Hasselbalch Buffer pH Calculator

General & Analytical Chemistry: The Henderson-Hasselbalch Equation

Derived from the equilibrium constant expression for weak acid ionization), the Henderson-Hasselbalch equation allows chemists and biochemists to model and formulate biological buffer systems (e.g., blood bicarbonate buffer, phosphate cell buffer).

Why Buffers Work Best at \

  • When the concentration of weak acid equals the concentration of conjugate base), the ratio and _10(1) = 0, making \.
  • At this 50/50 point, the buffer has maximum buffer capacity (β) against both strong acid additions and strong base additions.

How to Use This Calculator

Enter your Variable to Calculate — choose from Calculate Solution pH from pKa & Concentrations, Calculate Required Base/Acid Ratio [A⁻]/[HA] from Target pH, Calculate Acid Dissociation Constant pKa from pH & Concentrations, Acid Dissociation Constant (pKa) (e.g. 4.76 (Acetic acid) or 7.21 (Phosphate)), Conjugate Base Concentration [A⁻] (M or mol/L) (e.g. 0.15), Weak Acid Concentration [HA] (M or mol/L) (e.g. 0.10), and Target Desired pH [if calculating ratio] (e.g. 7.40 (Physiological blood pH)). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Henderson-Hasselbalch acid-base equilibrium equations: = pK_a + _10(([A^-]) / ([HA])) = pK_a + _10(([Conjugate Base]) / ([Weak Acid])) Base/Acid Ratio: ([A^-]) / ([HA]) = 10^(pH - pK_a) pOH (at 25^) = 14.00 - pH, [H_3O^+] = 10^-pH Buffering Window = pK_a ± 1.00 (0.10 [A^-]/[HA] 10.0)

Worked Example

For example, preparing an acetic acid / sodium acetate buffer) with \ sodium acetate and \ acetic acid: \ = 4.76 + _10(1.50) = 4.76 + 0.176 = 4.

  • Solution pOH is 9.064, with hydronium concentration .

Understanding Your Result

Evaluate your result in the context of your specific use case and relevant industry standards or reference values. A single calculated result is a starting point — test two to three scenarios to understand how sensitive the outcome is to your key input assumptions. For high-stakes decisions, verify your result against a secondary source or subject-matter expert before acting.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What is the Henderson-Hasselbalch equation?

The Henderson-Hasselbalch equation is pH = pKa + log10. It calculates the pH of a chemical buffer solution from the pKa of the acid and concentrations of the buffer components.

What is the effective buffering range of a buffer?

A buffer is effective within approximately ±1.0 pH unit of its pKa, which corresponds to base/acid concentration ratios between 1:10 and 10:1.

What happens to pH when conjugate base equals weak acid?

When [A-] = [HA], the log10(1) term becomes 0, and the solution pH equals the pKa of the acid.

How does temperature affect buffer pH?

Temperature changes affect the acid dissociation constant (Ka) and water ionization constant (Kw), causing slight shifts in buffer pKa and pH (standard reference calculations assume 25°C).

Can the Henderson-Hasselbalch equation be used for strong acids?

No. The equation assumes only partial ionization of a weak acid in equilibrium with its conjugate base. It does not apply to strong acids (like HCl) which dissociate completely.

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