ORG-03

E-factor

E = m_waste / m_product. Mass of waste per mass of product.

Reading speed

Green chemistrySheldon E-factor

Governing equation

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

$m_{waste} \in \left[0, 200\right]$

where

m_{waste}: Waste mass (kg)
m_{product}: Product mass (kg)
E: E-factor (—)

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.

00:0 / 00:08

①

Governing law — red

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

$m_{waste} \in \left[0, 200\right]$

$m_{waste} = 0$ $E = 0$

Along the curve

②

Domain of the variable — blue

m_{waste}_{\min} = 0,\quad m_{waste}_{\max} = 200

$m_{waste} \in \left[0, 200\right]$

$m_{waste} = 0$ $m_{waste} = 0$

Along the curve

③

Response curve — green

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

$m_{waste} \in \left[0, 200\right]$

$m_{waste} = 0$ $E = 0$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}E}{\mathrm{d}m_{waste}}

$m_{waste} \in \left[0, 200\right]$

$m_{waste} = 1.258$ $E^{\prime} = 0.667$

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-03 — E-factor) is the form associated with Sheldon E-factor. Working symbols: $m_{waste}$ , $m_{product}$ $\rightarrow$ $E$ . Sheldon: bulk chemicals E ~ 1–5, pharmaceuticals often > 25. Water may be excluded by convention.

Purpose

Purpose: compute

E

from

m_{waste}

m_{product}

in Organic chemistry via

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

E = m_waste / m_product. Mass of waste per mass of product. 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_{waste} = 12.000\,\mathrm{kg}

m_{product} = 1.500\,\mathrm{kg}

, the governing relation

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

yields

E = 8.00\,\mathrm{—}

. Batch masses, product isolated. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Waste mass m_{waste}12 kgProduct mass m_{product}1.5 kg

Outputs

E-factor E8.00 —

Reading speed

Watch on YouTube

Free library

Full library

Free PDF / open book

YouTube channels

00:0 / 00:08

Narration of this film

Batch masses, product isolated.

Sheldon: bulk chemicals E ~ 1–5, pharmaceuticals often > 25. Water may be excluded by convention.

Reading speed

Watch on YouTube