CHE-34

Yield of product P

YP/A = FP / (FA0 − FA). Moles of P per mole of A consumed.

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BalancesFogler

Governing equation

Y_{P/A}=\dfrac{F_P}{F_{A0}-F_A}

$F_P \in \left[0, 80\right]$

where

F_{A0}: A feed (mol/s)
F_A: A out (mol/s)
F_P: P out (mol/s)
Y_{P/A}: Yield (—)

The figure, part by part

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①

Governing law — red

Y_{P/A}=\dfrac{F_P}{F_{A0}-F_A}

$F_P \in \left[0, 80\right]$

$F_P = 0$ $Y_{P/A} = 0$

Along the curve

②

Domain of the variable — blue

F_P_{\min} = 0,\quad F_P_{\max} = 80

$F_P \in \left[0, 80\right]$

$F_P = 0$ $F_P = 0$

Along the curve

③

Response curve — green

Y_{P/A}=\dfrac{F_P}{F_{A0}-F_A}

$F_P \in \left[0, 80\right]$

$F_P = 0$ $Y_{P/A} = 0$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}Y_{P/A}}{\mathrm{d}F_P}

$F_P \in \left[0, 80\right]$

$F_P = 0.503$ $Y_{P/A}^{\prime} = 0.125$

Along the curve

Lecture brief

Historical brief

From CSTR/PFR mole balances and Arrhenius rates to McCabe–Thiele stages and NTU exchangers, chemical engineering is conservation plus equilibrium. The lab is that design arithmetic. This sheet (CHE-34 — Yield of product P) is the form associated with Fogler. Working symbols: $F_{A0}$ , $F_A$ , $F_P$ $\rightarrow$ $Y_{P/A}$ . Yield measures selectivity toward a desired product. For a single reaction it equals the stoichiometric ratio; with side reactions it falls.

Purpose

Purpose: compute

Y_{P/A}

from

F_{A0}

F_A

F_P

in Chemical engineering via

Y_{P/A}=\dfrac{F_P}{F_{A0}-F_A}

YP/A = FP / (FA0 − FA). Moles of P per mole of A consumed. Use it when a real chemical engineering question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

F_{A0} = 10.000\,\mathrm{mol/s}

F_A = 2.000\,\mathrm{mol/s}

F_P = 6.000\,\mathrm{mol/s}

, the governing relation

Y_{P/A}=\dfrac{F_P}{F_{A0}-F_A}

yields

Y_{P/A} = 0.750\,\mathrm{—}

. A reactor, an A arrow in, a P arrow out. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

A feed F_{A0}10 mol/sA out F_A2 mol/sP out F_P6 mol/s

Outputs

Yield Y_{P/A}0.750 —

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Narration of this film

A reactor, an A arrow in, a P arrow out.

Yield measures selectivity toward a desired product. For a single reaction it equals the stoichiometric ratio; with side reactions it falls.

Reading speed

Watch on YouTube