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Chemical engineering formulas and calculators for reaction kinetics, mass transfer, and process design used in industrial chemical production. Includes reactor sizing, thermodynamic equilibrium, and separation process equations.

34Formulas
3Subcategories
Updated Jul 2026

General

Compressibility Factor (Real Gas)

Z = PV / (nRT)

General

Relative Volatility

alpha_AB = (y_A/x_A) / (y_B/x_B)

General

Gas-Phase Mass Transfer Rate (Two-Film Theory)

N_A = Ky * a * (y - y*)

General

Sensible Heat Duty

Q = m * cp * dT

General

Specific Gravity

SG = rho_substance / rho_reference

General

Newton's Law of Viscosity

tau = mu * (dv/dy)

General

Orifice Meter Flow Rate

Q = Cd * A0 * sqrt(2*dP/(rho*(1-beta^4)))

General

Net Positive Suction Head Available (NPSHa)

NPSHa = (P_suction - P_vapor)/(rho*g) + z - h_f

General

Pump Hydraulic Power

P = rho * g * Q * H / eta

General

Ergun Equation (Packed Bed Pressure Drop)

dP/L = 150*mu*(1-e)^2*v/(e^3*dp^2) + 1.75*rho*(1-e)*v^2/(e^3*dp)

General

Plug Flow Reactor Volume (First-Order Reaction)

V = (F_A0 / k) * ln(1 / (1 - X))

General

CSTR Residence Time (Space Time)

tau = V / v0

General

Reaction Yield

Y = F_product / F_A0

General

Reaction Selectivity

S = F_desired_product / F_undesired_product

General

Reactor Conversion

X = (F_A0 - F_A) / F_A0

General

Dilution Equation

C1 * V1 = C2 * V2

General

Molar Concentration (Molarity)

M = n / V

General

Degrees of Freedom Analysis

DOF = N_unknowns - N_independent_equations

General

Henry's Law (Gas Solubility)

P_i = H * x_i

General

Raoult's Law

P_i = x_i * P_i_sat

General

Distillation Reflux Ratio

R = L / D

General

Prandtl Number

Pr = cp * mu / k

General

Nusselt Number

Nu = h * L / k

General

Heat Exchanger Effectiveness (NTU Method)

epsilon = Q_actual / Q_max

General

Overall Heat Transfer Coefficient

1/U = 1/hi + 1/ho + Rf

General

Heat Exchanger LMTD

LMTD = (dT1 - dT2) / ln(dT1/dT2)

General

Fick's First Law of Diffusion

J = -D * (dC/dx)

General

Antoine Equation (Vapor Pressure)

log10(P) = A - B/(C + T)

General

Darcy-Weisbach Pressure Drop

delta_P = f * (L/D) * (rho * v^2)/2

General

Continuity Equation (Mass Balance)

rho1 * A1 * v1 = rho2 * A2 * v2

Process Design

Bernoulli's Equation

P + ½ρv² + ρgh = const

Process Design

Reynolds Number

Re = ρvD / μ

Kinetics

Arrhenius Equation

k = Ae^(−Ea/RT)

Kinetics

Rate Law for a Reaction

r = k[A]ⁿ