CHM-28

Arrhenius k

Activated rate.

Reading speed

Physical chemistryArrhenius

Governing equation

k=A e^{-E_a/RT}

where

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

Lecture brief

Historical brief

Ideal-gas law, van ’t Hoff, Nernst, Michaelis–Menten and Clausius–Clapeyron are physical chemistry’s working equations of equilibrium and rate. The lab is pressure, potential and kinetics. This sheet (CHM-28 — Arrhenius k) is the form associated with Arrhenius. Working symbols: $A$ , $E_a$ , $T$ $\rightarrow$ $k$ . Activated rate.

Purpose

Purpose: compute

k

from

A

E_a

T

in Physical chemistry via

k=A e^{-E_a/RT}

Activated rate. Use it when a real physical chemistry question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

A = 1.000e+13\,\mathrm{1/s}

E_a = 80.000\,\mathrm{kJ/mol}

T = 350.000\,\mathrm{K}

, the governing relation

k=A e^{-E_a/RT}

yields

k = 11.487420\,\mathrm{1/s}

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

Calculator

Inputs

A A10000000000000 1/sEa E_a80 kJ/molT T350 K

Outputs

k k11.487420 1/s

Reading speed

Watch on YouTube

Free library

Full library

Free PDF / open book

YouTube channels

00:0 / 00:08

Narration of this film

Activated rate.

Reading speed

Watch on YouTube