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UTME Formula Sheet

Chemistry Formulas

The essential formulas and equations for JAMB UTME Chemistry — the mole, gas laws, acids and bases, and electrochemistry.

The Mole and Stoichiometry

Number of moles (mass)

n = mass / molar mass

Number of moles (volume)

n = volume / molar volume

molar volume = 22.4 dm³ at s.t.p.

Number of moles (particles)

n = N / Nₐ

Nₐ = 6.02 × 10²³

Concentration

c = n / V

mol/dm³

Percentage composition

% element = (mass of element / molar mass) × 100

Gas Laws

Boyle’s law

P₁V₁ = P₂V₂

Charles’ law

V₁/T₁ = V₂/T₂

Pressure law

P₁/T₁ = P₂/T₂

General gas equation

P₁V₁/T₁ = P₂V₂/T₂

Ideal gas equation

PV = nRT

Graham’s law of diffusion

r₁/r₂ = √(M₂/M₁)

Acids, Bases and Electrochemistry

pH

pH = −log₁₀[H⁺]

pOH

pOH = −log₁₀[OH⁻]

pH + pOH

pH + pOH = 14

Titration (mole concept)

CₐVₐ/C_bV_b = nₐ/n_b

n = mole ratio

Faraday’s first law

m = ZIt

m = mass deposited, I = current, t = time

Thermochemistry

Heat change

q = mcΔT

Enthalpy per mole

ΔH = q / n

Gibbs free energy

ΔG = ΔH − TΔS

Energy change of reaction

ΔH = ΣΔH(products) − ΣΔH(reactants)

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