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Try a quadratic equation
Full calculatorFind the roots of ax² + bx + c = 0.
x² − 5x + 6 = 0
Example result
x = 2, 3
Show working
D = (−5)² − 4 × 1 × 6 = 1 x = (5 ± √1) / 2 = 2, 3
Displayed values are approximations, up to 10 significant digits.Try constant acceleration
Full calculatorCalculate velocity and displacement at constant acceleration.
v = v₀ + at
Example result
v = 6 m/s · Δx = 9 m
Show working
v = 0 + 2 × 3 = 6 m/s Δx = 0 × 3 + ½ × 2 × 3² = 9 m
Displayed values are approximations, up to 10 significant digits.Try molar concentration
Full calculatorCalculate molarity from amount and solution volume.
c = n / V
Example result
c = 0.2 mol/L
Show working
V = 500 / 1000 = 0.5 L c = 0.1 / 0.5 = 0.2 mol/L
Displayed values are approximations, up to 10 significant digits.Browse by subject
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Each calculator includes assumptions and references. Results are approximations; distinguish display precision from measurement significant figures.
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scienceArrhenius Equation & Activation Energy Guide: 2-Temp Solving, Plots & Half-Lives
Master the Arrhenius equation k = A·exp(−Ea/RT): avoid kJ vs J and °C vs K traps, run multi-point OLS Arrhenius plots with Eyring parameters (ΔH‡, ΔS‡), compare CODATA vs textbook R, and solve 0th-, 1st-, and 2nd-order half-lives and shelf-life t90.
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GuideGuide to Faraday's Law of Electrolysis, Nernst Equation & Cell Potential: Formulas & Worked Examples
Master electrochemistry calculations from Faraday's law of electrolysis (Q = It, m = MIt/zF, STP gas volume) to the Nernst equation (E = E° − (RT/nF)ln Q), concentration cells, standard cell EMF E°cell, Gibbs free energy ΔG° = −nFE°, and equilibrium constant K with step-by-step worked examples.
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GuideGuide to Osmotic Pressure & Van ’t Hoff’s Law: Formulas, Tonicity, and Molar Mass
Master osmotic pressure calculations using van ’t Hoff’s law (Π = iCRT). Covers electrolyte dissociation factor i, physiological saline (0.90% NaCl) and glucose tonicity evaluation (RBC hemolysis vs. crenation), and polymer molar mass determination via membrane osmometry with worked examples.
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Half-Life Calculator
Compute the remaining amount after any elapsed time with N = N₀ × (1/2)^(t/T). Includes carbon-14 dating (5730 years) and drug-metabolism examples, plus the remaining percentage, half-lives elapsed and the decay constant λ.
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