CSTR and PFR volume calculator

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Result

CSTR volume600 L
PFR volume153.5 L
CSTR/PFR3.909

Step-by-step solution

CSTR

V = v0·X/(k(1 − X)) = 10·0.9/(0.15·0.1) = 600 L

PFR

V = (v0/k)·ln(1/(1 − X)) = 153.5 L

Key formulas

Space time
τ = V/Q
CSTR, first order
τ = X/(k·(1 − X)), CA = CA0/(1 + kτ)
PFR, first order
τ = ln(1/(1 − X))/k, CA = CA0·e−kτ
Conversion from volume
CSTR: X = kτ/(1 + kτ), PFR: X = 1 − e−kτ
N equal CSTRs in series
X = 1 − 1/(1 + kτi)N

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