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Chemistry

106 calculators Solve molar mass, concentration, pH, stoichiometry, and chemical equations

Chemistry calculators for molar mass, molarity, pH, stoichiometry, ideal gas law, reaction yield, and more. Built for students, lab professionals, and educators.

Activation Energy
Activation Energy Calculator
Calculate activation energy (Ea) from two rate constants at two different temperatures using the Arrhenius equation. Also compute pre-exponential factor A and ΔE.
Activity Coefficient
Activity Coefficient Calculator
Calculate the activity coefficient (γ) of an ion in solution using the Debye-Hückel limiting law. Enter ionic charge and ionic strength to find γ and ion activity.
Actual Yield
Actual Yield Calculator
Calculate the actual yield of a chemical reaction from its theoretical yield and percent yield. Find how much product you will recover given a known reaction efficiency.
Air-Fuel Ratio
AFR Calculator
Calculate Air-Fuel Ratio (AFR), stoichiometric AFR, lambda (λ), and equivalence ratio (φ) for petrol, diesel, CNG, LPG, ethanol, and other fuels. Engine combustion calculator.
Alligation
Alligation Calculator
Calculate mixing proportions of two solutions with different concentrations to achieve a desired intermediate concentration using the alligation method. Pharmacy and chemistry tool.
Arrhenius Equation
Arrhenius Equation Calculator
Calculate the rate constant k using the Arrhenius equation from activation energy, pre-exponential factor A, and temperature. Essential for reaction kinetics and chemical engineering.
Atom
Atom Calculator
Calculate the number of protons, neutrons, electrons, and mass number for any element and isotope. Includes ion configuration and nuclear composition.
Atom Economy
Atom Economy Calculator
Calculate atom economy (AE) and atom efficiency of chemical reactions. Key green chemistry metric for measuring how much of the reactant mass ends up in the desired product.
Atomic Mass
Atomic Mass Calculator
Look up the standard atomic mass for any element (Z=1–36). Get atomic weight, atomic number, period, group, and block instantly from the periodic table data.
Average Atomic Mass
Average Atomic Mass Calculator
Calculate the average atomic mass of an element from its isotope masses and natural abundances. Enter up to 3 isotopes with mass and percent abundance.
Avogadro
Avogadro's Number Calculator
Use Avogadro's number (6.022 × 10²³) to convert moles to particles or particles to moles. Works for atoms, molecules, ions, and formula units with step-by-step working.
Beer-Lambert Law
Beer-Lambert Law Calculator
Calculate absorbance, concentration, or molar absorptivity using Beer-Lambert Law: A = ε × l × c. Solve for any variable from the other two.
Bleach Dilution
Bleach Dilution Calculator
Calculate how to dilute household or commercial bleach to a target NaOCl concentration for disinfection, cleaning, or water treatment. Uses the C₁V₁=C₂V₂ equation.
BP at Altitude
Boiling Point at Altitude Calculator
Calculate water boiling point at any altitude from sea level to 8,849 m (Everest). Uses barometric pressure and Clausius-Clapeyron equation for accurate results.
Boiling Point
Boiling Point Calculator
Calculate the boiling point of a pure liquid or solution using the Clausius-Clapeyron equation or boiling point elevation formula. Supports water, ethanol, and more.
BP Elevation
Boiling Point Elevation Calculator
Calculate boiling point elevation for solutions using ΔTb = Kb × m × i. Enter solvent, solute mass, and molality to find the new boiling point of any solution.
Bond Order
Bond Order Calculator
Calculate bond order from molecular orbital theory: (bonding electrons − antibonding electrons) / 2. Covers H₂, O₂, N₂, NO, CO, and homonuclear diatomics.
Buffer Capacity
Buffer Capacity Calculator
Calculate buffer capacity (β) using the Van Slyke equation. Enter pKa, total buffer concentration, and acid fraction to find pH, buffer capacity in mol/L/pH, and effective buffer range.
Buffer pH
Buffer pH Calculator
Calculate buffer solution pH using the Henderson-Hasselbalch equation. Enter pKa and acid/conjugate base concentrations to get buffer pH and buffer capacity indicator.
Calibration Curve
Calibration Curve Calculator
Build a calibration curve with linear regression from standard data points. Calculate unknown concentration, R², slope, intercept, and LOD/LOQ.
Cell EMF
Cell EMF Calculator
Calculate standard cell potential E°cell = E°cathode − E°anode, Gibbs free energy ΔG°, and equilibrium constant K for any electrochemical cell.
Equation Balancer
Chemical Equation Balancer
Balance chemical equations automatically. Enter an unbalanced equation and get stoichiometric coefficients, the balanced equation, and atom-by-atom verification for any reaction.
Chemical Name
Chemical Name Calculator
Convert chemical formulas to IUPAC names and common names. Find the systematic name, compound type, and molar mass for 150+ inorganic and organic compounds.
COD
Chemical Oxygen Demand Calculator
Calculate the theoretical chemical oxygen demand (ThCOD) of a compound from its molecular formula, or compute COD from dichromate titration data (mg/L of O₂).
Combustion Analysis
Combustion Analysis Calculator
Determine percent composition and empirical formula of organic compounds from combustion analysis data: mass of CO₂, H₂O produced, and original sample mass.
Combustion
Combustion Reaction Calculator
Calculate the balanced combustion reaction for any CₓHᵧ or CₓHᵧOᵤ hydrocarbon. Outputs O₂ required, CO₂ and H₂O produced, and air-to-fuel mass ratio.
Concentration
Concentration Calculator
Calculate the concentration of a solution in mol/L from solute mass, molar mass, and solution volume. Also find grams needed for a target molarity.
Crude Protein
Crude Protein Calculator
Calculate crude protein content from total nitrogen using the Kjeldahl method. Crude Protein (%) = % Nitrogen × 6.25 (or food-specific conversion factors).
Cubic Cell
Cubic Cell Calculator
Calculate unit cell parameters for simple cubic (SC), body-centred cubic (BCC), and face-centred cubic (FCC) crystal structures. Find lattice constant, atomic radius, packing efficiency, and density.
DoU
Degree of Unsaturation Calculator
Calculate the degree of unsaturation (DBE / index of hydrogen deficiency) from the molecular formula. Works for compounds with C, H, N, O, and halogens.
Detention Time
Detention Time Calculator
Calculate hydraulic detention time (HDT) for water treatment tanks, sedimentation basins, and clarifiers. Find tank volume, flow rate, and residence time.
Diffusion Coeff.
Diffusion Coefficient Calculator
Calculate the diffusion coefficient of a spherical particle or molecule in solution using the Stokes-Einstein equation D = kT/(6πηr). Enter temperature, viscosity, and radius.
Dilution Factor
Dilution Factor Calculator
Calculate dilution factor (fold dilution) from initial and final concentrations or volumes. Find how much stock solution to add to diluent to reach a target concentration.
DBE
Double Bond Equivalent Calculator
Calculate the double bond equivalent (DBE) from a molecular formula CₓHᵧNₙOₒXₓ. Find the number of rings plus double bonds in an organic molecule.
Z*
Effective Nuclear Charge Calculator
Calculate effective nuclear charge (Z*) using Slater's rules. Enter atomic number and electron configuration to find shielding constant σ and Z* = Z − σ.
Electrolysis
Electrolysis Calculator
Calculate mass deposited or gas produced during electrolysis using Faraday's law: m = MIt/nF. Select element or enter custom molar mass, current, and time.
Electron Config
Electron Configuration Calculator
Find the ground-state electron configuration for any element. Shows full configuration, noble gas shorthand, valence electrons, period, group, and s/p/d/f block for all 118 elements.
Electronegativity
Electronegativity Calculator
Look up Pauling electronegativity for any element (Z=1–86) and calculate the electronegativity difference between two bonded atoms. Includes bond polarity classification.
Empirical Formula
Empirical Formula Calculator
Calculate the empirical formula of a compound from elemental percentages or gram amounts. Find whole-number mole ratios for up to 5 elements.
Entropy
Entropy Calculator
Calculate standard entropy change ΔS° from enthalpy change ΔH° and Gibbs free energy ΔG° at a given temperature using the thermodynamic relationship ΔS = (ΔH − ΔG) / T.
Enzyme Activity
Enzyme Activity Calculator
Calculate enzyme activity in Units (U), specific activity (U/mg), and katal from substrate consumption rate. Free online biochemistry tool.
Equilibrium Constant
Equilibrium Constant Calculator
Calculate the equilibrium constant Kc from equilibrium concentrations of reactants and products for a reversible reaction. Also compute ΔG° from Kc at 25°C.
FP Depression
Freezing Point Depression Calculator
Calculate freezing point depression for solutions using ΔTf = Kf × m × i. Find new freezing point for water, benzene, and other solvents with any solute.
Gibbs Free Energy
Gibbs Free Energy Calculator
Calculate the Gibbs free energy change ΔG from enthalpy ΔH, entropy ΔS, and temperature T using ΔG = ΔH − TΔS. Determine if a reaction is spontaneous at a given temperature.
Gibbs Phase Rule
Gibbs Phase Rule Calculator
Calculate the degrees of freedom F for a thermodynamic system using Gibbs phase rule F = C − P + 2. Enter the number of components C and phases P to find the variance of the system.
g to mol
Grams to Moles Calculator
Convert grams to moles using the molar mass of any substance. Enter the mass in grams and the molar mass to get the number of moles instantly with working shown.
Half-Life
Half-Life Calculator
Calculate half-life, decay constant, and remaining quantity for radioactive decay or first-order chemical reactions. Supports time unit conversion and activity calculation.
Heat of Combustion
Heat of Combustion Calculator
Calculate the heat released during combustion of a fuel from its mass and specific heat of combustion. Convert between kJ, kcal, and kWh for any fuel quantity.
Henderson-Hasselbalch
Henderson-Hasselbalch Calculator
Calculate pH from pKa and acid/base ratio, or find the required ratio to hit a target pH. Solve all three forms of the Henderson-Hasselbalch equation instantly.
HRT Calculator
Hydraulic Retention Time Calculator
Calculate hydraulic retention time (HRT) for bioreactors, anaerobic digesters, and wastewater treatment systems. Find volume, flow rate, and organic loading.
H⁺ Concentration
Hydrogen Ion Concentration Calculator
Calculate hydrogen ion concentration [H⁺] from pH value. Also find [OH⁻], pOH, and Kw verification. Instant results with step-by-step working.
Ionic Strength
Ionic Strength Calculator
Calculate ionic strength I = ½Σcᵢzᵢ² for electrolyte solutions. Enter up to 4 ion concentrations and charges to get I, activity coefficient, and Debye length.
Isoelectric Point
Isoelectric Point Calculator
Calculate the isoelectric point (pI) and net charge of a protein or amino acid at any pH. Uses Henderson-Hasselbalch equation with standard pKa values.
Kp
Kp Calculator
Calculate the equilibrium constant Kp from partial pressures of reactants and products. Convert between Kc and Kp using the relationship Kp = Kc × (RT)^Δn.
Langmuir
Langmuir Isotherm Calculator
Calculate surface coverage (θ), amount adsorbed (q), and saturation capacity from Langmuir adsorption isotherm: q = qₘ × K × C / (1 + K × C).
Lattice Energy
Lattice Energy Calculator
Calculate lattice energy using the Kapustinskii equation U = −120250νz⁺z⁻/(r⁺+r⁻) kJ/mol. Enter ionic charges, radii in pm, and formula units for any ionic compound.
Ethylene Density
Liquid Ethylene Density Calculator
Calculate the density of liquid ethylene (C₂H₄) at a given temperature using the NIST-based equation. Includes vapour pressure and saturated liquid density.
Mass Percent
Mass Percent Calculator
Calculate mass percent (% w/w) of a solute in a solution from solute mass and solution mass. Also find mass fraction, parts per hundred, and grams per kg.
Michaelis-Menten
Michaelis-Menten Calculator
Calculate enzyme reaction velocity using the Michaelis-Menten equation. Find Km, Vmax, substrate concentration, and catalytic efficiency kcat/Km.
Miller Indices
Miller Indices Calculator
Calculate interplanar d-spacing from Miller indices (hkl) for cubic crystal systems. Find Bragg diffraction angle θ and lattice plane geometry.
Mixing Ratio
Mixing Ratio Calculator
Calculate the mixing ratio, final concentration, and volumes of two solutions to mix. Find how much of each component to combine for a target concentration or ratio.
Molality
Molality Calculator
Calculate the molality of a solution from the mass of solute, molar mass, and mass of solvent. Get accurate mol/kg results with full step-by-step working.
Molar Mass
Molar Mass Calculator
Calculate molar mass of any compound from its elements. Select up to 3 elements and enter atom counts to get total molecular weight and percent composition.
Gas Molar Mass
Molar Mass of Gas Calculator
Calculate molar mass of a gas from its density using M = dRT/P, or from PVT measurements using PV=nRT. Enter gas density at known temperature and pressure.
Molar Ratio
Molar Ratio Calculator
Calculate molar ratios between reactants and products in a balanced chemical equation. Find moles of product from moles of reactant using stoichiometric coefficients.
Molarity
Molarity Calculator
Calculate the molarity of a solution from the mass of solute, its molar mass, and the volume of solution. Instant mol/L results with step-by-step working shown.
Moles
Mole Calculator
Calculate the number of moles from mass and molar mass, or find the number of molecules using Avogadro's number. Step-by-step results for chemistry students and labs.
Mole Fraction
Mole Fraction Calculator
Calculate the mole fraction of each component in a mixture of two or three substances. Enter moles for each component and get the dimensionless mole fraction instantly.
Mol. Weight
Molecular Weight Calculator
Calculate the molecular weight (molar mass) of any compound by entering the number of atoms of each element. Get the result in g/mol with an element-by-element breakdown.
mol to atoms
Moles to Atoms Calculator
Convert moles to atoms or molecules using Avogadro's number (6.022 × 10²³). Enter the moles and get the exact number of atoms instantly with step-by-step working.
Nernst
Nernst Equation Calculator
Calculate actual cell potential E using the Nernst equation: E = E° − (RT/nF)ln(Q). Enter standard potential, electron count, reaction quotient, and temperature.
Net Ionic Eq.
Net Ionic Equation Calculator
Write complete and net ionic equations from a balanced molecular equation. Identifies spectator ions, splits strong electrolytes, applies solubility rules, and classifies the reaction type.
Neutralization
Neutralization Calculator
Calculate the volume of acid or base needed to neutralize a solution using equivalents. Supports strong and weak acid-base pairs. Find the equivalence point and salt produced.
Normality
Normality Calculator
Calculate the normality of a solution from its molarity and n-factor (equivalents per mole). Get results in equivalents/litre with step-by-step working for acids, bases, and salts.
Osmotic Pressure
Osmotic Pressure Calculator
Calculate osmotic pressure using π = iMRT. Enter molarity, temperature, and van't Hoff factor to find osmotic pressure in atm, kPa, and mmHg for any solution.
Partial Pressure
Partial Pressure Calculator
Calculate partial pressure of gas components using Dalton's law: P_i = x_i × P_total. Supports up to 4 gas components with mole fraction calculation.
Percent Composition
Percent Composition Calculator
Calculate the percent composition by mass for each element in a compound. Enter up to 3 elements with atom counts to get elemental mass percentages and molar mass.
% Ionic Character
Percent Ionic Character Calculator
Calculate percent ionic character of a bond from electronegativity difference using Hanney-Smith formula: %IC = (1 − e^(−0.25Δχ²)) × 100. Covers all common bonds.
Percent Solution
Percent Solution Calculator
Calculate weight by volume (w/v), weight by weight (w/w), and volume by volume (v/v) percent solutions. Find grams needed to make a percent solution of any volume.
Percent Yield
Percent Yield Calculator
Calculate percent yield of a chemical reaction from actual and theoretical yield. Understand reaction efficiency and product losses. Essential for chemistry and organic synthesis.
% Conc to Molarity
Percentage Concentration to Molarity Calculator
Convert percentage concentration (% w/v or % w/w) to molarity (mol/L) using molar mass and solution density. Essential for preparing solutions from commercial reagents.
pH
pH Calculator
Calculate pH from hydrogen ion concentration [H⁺], pOH, or hydroxide ion concentration [OH⁻]. Instantly find acid/base strength with step-by-step working.
pKa
pKa Calculator
Calculate pKa from acid dissociation constant Ka, or from pH and the concentrations of acid and conjugate base. Includes pKb and Kb outputs.
PPM → M
PPM to Molarity Calculator
Convert parts per million (ppm or mg/L) to molarity (mol/L) using the molar mass of the solute. Essential for water quality, environmental analysis, and lab work.
Protein Solubility
Protein Solubility Calculator
Calculate ammonium sulfate saturation percentage for protein precipitation and salting out. Find grams of (NH₄)₂SO₄ to add for target saturation at 0°C or 25°C.
Q10
Q10 Calculator
Calculate the Q10 temperature coefficient for biochemical or chemical reactions. Find how reaction rate changes with 10°C temperature increase using Q10 = (R2/R1)^(10/ΔT).
Radioactive Decay
Radioactive Decay Calculator
Calculate radioactive decay using N(t) = N₀ × e^(-λt). Find remaining quantity, activity (Bq and Ci), and decay constant from half-life for any radioactive isotope.
Radiocarbon Dating
Radiocarbon Dating Calculator
Calculate the age of organic material from ¹⁴C radiocarbon data. Uses N(t) = N₀ × e^(−λt) with ¹⁴C half-life of 5730 years. Outputs age in calendar years BP.
Raoult's Law
Raoult's Law Calculator
Calculate vapor pressure of a binary ideal solution using Raoult's law: P = xA×P°A + xB×P°B. Find total vapor pressure and composition of vapor phase.
Rate Constant
Rate Constant Calculator
Calculate the rate constant k for first-order or second-order reactions from concentration data and time. Find reaction rate constants from integrated rate law equations.
Effusion Rate
Rate of Effusion Calculator
Calculate relative rates of effusion using Graham's law: rate₁/rate₂ = √(M₂/M₁). Compare effusion rates of any two gases by molar mass. Useful for gas identification.
Reaction Quotient
Reaction Quotient Calculator
Calculate the reaction quotient Q from current concentrations and compare it to Kc to predict which direction a reversible reaction will proceed to reach equilibrium.
Reconstitution
Reconstitution Calculator
Calculate the volume of diluent needed to reconstitute a lyophilised (freeze-dried) drug or reagent powder to a target concentration. Pharmacy and lab reconstitution tool.
Resuspension
Resuspension Calculator
Calculate the volume of buffer needed to resuspend dried DNA, RNA, or protein to a target concentration. Convert between μg/μL, nM, and copy number.
Sap Value
Saponification Value Calculator
Calculate the saponification value (mg KOH per gram of fat/oil), NaOH and KOH amounts needed for soap making, and glycerol yield from triglyceride hydrolysis.
Serial Dilution
Serial Dilution Calculator
Calculate the concentration at each step of a serial dilution series. Enter initial concentration, dilution factor, and number of steps to get all intermediate concentrations.
Solution Dilution
Solution Dilution Calculator
Use the C₁V₁ = C₂V₂ dilution equation to find stock volume needed, final concentration, or volume of diluent to add. Works for molarity, normality, and percent solutions.
STP
STP Calculator
Convert gas volume between STP (0°C, 1 atm) and any temperature/pressure using the ideal gas law. Calculate molar volume and moles of gas at standard conditions.
Theoretical Yield
Theoretical Yield Calculator
Calculate the theoretical yield of a chemical reaction from moles of limiting reagent and stoichiometric ratio. Find the maximum mass of product that can be formed.
Titration
Titration Calculator
Calculate titration results: equivalence point volume, unknown concentration or normality, and percent purity. Supports acid-base, redox, and precipitation titrations with n-factor correction.
TDS
Total Dissolved Solids Calculator
Calculate Total Dissolved Solids (TDS) in water from electrical conductivity (EC) in μS/cm. Convert to mg/L, ppm and classify drinking water quality by WHO and BIS standards.
Two-Photon Absorption
Two-Photon Absorption Calculator
Calculate two-photon absorption rate, absorbed photon flux, and excitation probability from TPA cross-section (GM units), laser intensity, and fluorophore concentration.
Vapor Pressure
Vapor Pressure Calculator
Calculate vapor pressure at any temperature using the Clausius-Clapeyron equation. Enter a known vapor pressure and temperature pair, enthalpy of vaporisation, and find vapor pressure at a new temperature.
Water VP
Vapor Pressure of Water Calculator
Calculate the vapor pressure of water at any temperature from 0°C to 374°C using the Antoine equation. Returns results in mmHg, atm, kPa, and bar.
Water Hardness
Water Hardness Calculator
Calculate water hardness in mg/L CaCO₃, ppm, gpg (grains per gallon), French degrees, and German degrees from calcium and magnesium concentrations. Classify soft to very hard.
Young-Laplace
Young-Laplace Equation Calculator
Calculate the pressure difference across a curved fluid interface using the Young-Laplace equation: ΔP = γ × (1/R₁ + 1/R₂). For spherical drops and bubbles.

About Chemistry Calculators

Chemistry calculators eliminate the arithmetic burden from some of the most calculation-heavy topics in science. Whether you are computing the molar mass of a complex molecule, balancing a stoichiometric equation, or calculating the pH of a buffer, a small arithmetic slip can cascade into entirely wrong answers. These tools let you focus on the chemistry itself, not the arithmetic.

Moles, mass, and stoichiometry

The mole concept is the central language of chemistry. Converting between grams, moles, molecules, and litres is something every chemistry student does constantly — and every step is an opportunity for error. Stoichiometry extends this to reactions: getting the mole ratio right from a balanced equation is the critical step, and our calculators walk through each conversion clearly.

Solutions and concentration

Molarity, molality, normality, dilution — solution chemistry has a rich set of concentration units, each suited to different contexts. Molarity is standard for most lab work; molality is used when temperature variation matters; normality applies in acid-base and redox titrations. Understanding which unit applies, and converting between them correctly, is essential for preparing solutions accurately in a laboratory.

Acids, bases, and pH

pH calculations range from the straightforward (strong acid or base) to the nuanced (buffer systems, polyprotic acids, salt hydrolysis). The Henderson-Hasselbalch equation governs buffer behaviour, and understanding its limits — it applies only when concentrations are not too dilute and pKa is not at an extreme — prevents errors in biochemistry and analytical contexts.

Thermochemistry and energetics

Enthalpy, entropy, Gibbs free energy, and reaction spontaneity are quantitative concepts that require careful calculation. Hess's Law, Born-Haber cycles, and calorimetry calculations all feature in undergraduate chemistry and competitive exam preparation. These calculators provide step-by-step results so you can verify your working, not just check an answer.

Frequently Asked Questions

thecalcu.com's chemistry category includes calculators for molar mass, molarity, dilution, pH, stoichiometry, ideal gas law, reaction yield, empirical formula, and thermochemistry. These tools are built for chemistry students, laboratory professionals, and educators who need fast, reliable chemical calculations without manual formula lookup.
Molar mass is the sum of the atomic masses of all atoms in a molecular formula, expressed in g/mol. For water (H₂O): (2 × 1.008) + (1 × 15.999) = 18.015 g/mol. For glucose (C₆H₁₂O₆): (6 × 12.011) + (12 × 1.008) + (6 × 15.999) = 180.16 g/mol. Always use the molar mass from the periodic table, as natural elements are mixtures of isotopes and their average atomic masses reflect natural abundance.
Molarity (M) = Moles of solute ÷ Volume of solution in litres. To prepare a 0.5 M NaCl solution, dissolve 0.5 moles (29.22 g) of NaCl in enough water to make 1 litre of solution. Note that volume refers to the final solution volume, not the volume of water added. Molarity is temperature-dependent because liquid volume changes with temperature — this matters in precise analytical chemistry.
pH = −log₁₀[H⁺], where [H⁺] is the hydrogen ion concentration in mol/L. For a strong acid like HCl at 0.01 M: pH = −log(0.01) = 2. For a strong base like NaOH at 0.01 M: pOH = 2, so pH = 14 − 2 = 12. For weak acids, use pH = ½(pKa − log C), where C is the acid concentration. A pH below 7 is acidic, exactly 7 is neutral, and above 7 is basic at 25°C.
Stoichiometry converts between reactant and product quantities using mole ratios from a balanced equation. Steps: (1) write and balance the equation, (2) convert given quantity to moles, (3) use the mole ratio from the equation, (4) convert moles to the desired unit. For 2H₂ + O₂ → 2H₂O: 4 g of H₂ (2 moles) produces 2 moles of water = 36 g. Always check that the equation is balanced before calculating — an unbalanced equation gives wrong mole ratios.
The ideal gas law is PV = nRT, where P is pressure (atm), V is volume (L), n is moles of gas, R is the gas constant (0.08206 L·atm/mol·K), and T is temperature in Kelvin. It accurately describes gases at low pressure and high temperature. At high pressures or low temperatures, use the van der Waals equation instead: (P + a/V²)(V − b) = nRT, which accounts for intermolecular forces and molecular volume.
Theoretical yield is the maximum amount of product calculated from stoichiometry. Actual yield is what you actually collect after the reaction. Percent yield = (Actual yield ÷ Theoretical yield) × 100. A 100% yield is rarely achieved due to side reactions, incomplete reactions, and product loss during purification. In industrial chemistry, a yield above 80% is generally considered good; in pharmaceutical synthesis, even 50% may be acceptable for complex molecules.
The dilution equation is C₁V₁ = C₂V₂, where C₁ and V₁ are the initial concentration and volume, and C₂ and V₂ are the final concentration and volume. To dilute 50 mL of 6 M HCl to 0.5 M: V₂ = (6 × 50) ÷ 0.5 = 600 mL total volume. Always add concentrated acid to water, never water to acid — the exothermic heat of dilution can cause violent spattering if the order is reversed.
The empirical formula is the simplest whole-number ratio of atoms. Convert mass percentages to moles by dividing by atomic mass, then divide by the smallest mole value to get the ratio. If a compound is 40% C, 6.7% H, and 53.3% O: moles are 3.33 C, 6.65 H, 3.33 O → ratio 1:2:1 → empirical formula CH₂O. The molecular formula is a whole-number multiple of the empirical formula, found using the molar mass: if molar mass = 180 g/mol and empirical mass = 30 g/mol, the multiple is 6, giving C₆H₁₂O₆.
Enthalpy change (ΔH) can be calculated using Hess's Law: ΔH_reaction = ΣΔH_f(products) − ΣΔH_f(reactants), where ΔH_f is the standard enthalpy of formation. A negative ΔH means the reaction is exothermic (releases heat); a positive ΔH means it is endothermic (absorbs heat). For calorimetry experiments: q = mcΔT, where m is mass, c is specific heat capacity (4.184 J/g·K for water), and ΔT is the temperature change.
The Henderson-Hasselbalch equation is pH = pKa + log([A⁻]/[HA]), where [A⁻] is the concentration of the conjugate base and [HA] is the concentration of the weak acid. It is used to calculate the pH of buffer solutions and to determine the ratio of acid to base needed for a target pH. A buffer works most effectively within one pH unit of its pKa. This equation is foundational in biochemistry, pharmacology, and analytical chemistry.

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