ORG-25

E-factor

Sheldon.

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OrganicE-factor

Governing equation

E=m_{\\mathrm{waste}}/m_{\\mathrm{prod}}

$m_w \in \left[0.01, 100\right]$

where

m_w: Waste (kg)
m_p: Product (kg)
E: E (—)

The figure, part by part

Each numbered marker wears the color of its card. Hover a card to light the marker. Tap a marker to jump to that card. The slider walks a red point along the curve; Animate drawing traces it like a pen.

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①

Governing law — red

E=m_{\\mathrm{waste}}/m_{\\mathrm{prod}}

$m_w \in \left[0.01, 100\right]$

$m_w = 0.01$ $E = 0.01$

Along the curve

②

Domain of the variable — blue

m_w_{\min} = 0.01,\quad m_w_{\max} = 100

$m_w \in \left[0.01, 100\right]$

$m_w = 0.01$ $m_w = 0.01$

Along the curve

③

Response curve — green

E=m_{\\mathrm{waste}}/m_{\\mathrm{prod}}

$m_w \in \left[0.01, 100\right]$

$m_w = 0.01$ $E = 0.01$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}E}{\mathrm{d}m_w}

$m_w \in \left[0.01, 100\right]$

$m_w = 0.639$ $E^{\prime} = 1$

Along the curve

Lecture brief

Historical brief

Hammett (1937) and Taft linear free-energy, E-factor green metrics, Woodward–Fieser UV and Claisen equilibria are how organic chemistry became predictive. The lab is substituent, waste and tautomer. This sheet (ORG-25 — E-factor) is the form associated with E-factor. Working symbols: $m_w$ , $m_p$ $\rightarrow$ $E$ . Sheldon.

Purpose

Purpose: compute

E

from

m_w

m_p

in Organic chemistry via

E=m_{\\mathrm{waste}}/m_{\\mathrm{prod}}

Sheldon. Use it when a real organic chemistry question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

m_w = 5.000\,\mathrm{kg}

m_p = 1.000\,\mathrm{kg}

, the governing relation

E=m_{\\mathrm{waste}}/m_{\\mathrm{prod}}

yields

E = 5.00\,\mathrm{—}

. Sheldon. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Waste m_w5 kgProduct m_p1 kg

Outputs

E E5.00 —

Reading speed

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Narration of this film

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