CHE-39

Arrhenius k

Activated-rate constant.

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GoverningArrhenius k

Governing equation

k=A e^{-E_a/RT}

where

A: A (1/s)
Ea: Ea (kJ/mol)
T: T (K)
k: Arrhenius k (1/s)

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-39 — Arrhenius k) is the form associated with Arrhenius k. Working symbols: $A$ , $Ea$ , $T$ $\rightarrow$ $k$ . Activated-rate constant. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

k

from

A

Ea

T

in Chemical engineering via

k=A e^{-E_a/RT}

Activated-rate constant. 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

A = 1.000e+8\,\mathrm{1/s}

Ea = 75.000\,\mathrm{kJ/mol}

T = 350.000\,\mathrm{K}

, the governing relation

k=A e^{-E_a/RT}

yields

k = 6.404e-4\,\mathrm{1/s}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

A A100000000 1/sEa Ea75 kJ/molT T350 K

Outputs

Arrhenius k k0.001 1/s

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Activated-rate constant. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube