ONE FORMULA, ONE ANSWER
First-order CSTR conversion calculator
Calculate the steady-state conversion of an irreversible first-order reaction in a perfectly mixed continuous stirred-tank reactor. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Steady-state conversion X
Enter values and select Calculate.
τ = V/Q; Da = kτ; X = Da/(1+Da)
Assumptions
Required: steady state, isothermal operation, perfect mixing, constant volumetric flow and density, and an irreversible first-order reaction. The rate constant must apply at the reactor temperature. Conversion assumes positive inlet reactant concentration. Excluded: startup, residence-time distributions, equilibrium limits, side reactions and multiphase transfer resistance.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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