DuckieDai Arrhenius Equation Python Program

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chemistry · MIT License

Overview

Calculate an Arrhenius rate constant, a second-temperature rate constant, activation energy, or pre-exponential factor and show the rearrangement used.

Usage

Inputs

Solve mode: k, k2, Ea, or A
Positive rate constants and absolute temperatures as required
Activation energy in kJ/mol; pre-exponential factor in the same rate units as k

Outputs

Requested rate quantity, activation energy, or pre-exponential factor
Exponent or rate ratio where the interactive mode provides it

Units: Temperature is kelvin, activation energy is kJ/mol, R is 8.314 J/(mol*K), and A and k use matching rate units.

Assumptions and limitations

Assumptions

The Arrhenius model and a temperature-independent A and Ea are suitable over the interval.
The two-temperature form compares the same reaction mechanism.

Constraints

Temperatures, rate constants, and A must be positive; entered Ea is nonnegative except a solved Ea may expose inconsistent data.

Known failures

Extreme exponents can overflow or underflow floating-point display.
A mechanism change or non-Arrhenius behavior can make the model misleading.

Compatibility and review

Review status: Not calculator tested
Tested on: The owner reports personally testing the supplied archive programs on a calculator; exact model, OS, and Python App versions were not recorded
What happened: Owner reported interactive testing is disclosed, but the published bytes are not labeled independently calculator tested because the environment is unrecorded and Arrhenius received a narrow intake correction
Dependencies: math
Suggested calculator name: ARRHEQ — you can give it another valid, unique name when you transfer it
Desktop test cases: Not available for this interactive-only source

This exact source auto-launches an interactive calculator session, so compatibility evidence comes from the recorded physical-device review rather than an importable desktop fixture.

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Exact reviewed bytes

Source code

Download .py

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from math import exp,log

R=8.314

def duckiedai_intro(program_name,wait=True):
 title=program_name[:16]
 empty=16-len(title)
 left=empty//2
 right=empty-left
 print("+----------------------+")
 print("|   "+" "*left+title+" "*right+"   |")
 print("|                      |")
 print("|       __             |")
 print("|   ___(o )>  quack!   |")
 print("|   \\ <_. )           |")
 print("|    `---'             |")
 print("|     by DuckieDai     |")
 print("+----------------------+")
 print("Loading...")
 if wait:
  input("Press enter to start ")
  print("\n"*6)

duckiedai_intro("ARRHENIUS")

def pos(s):
 while 1:
  try:
   x=float(input(s))
   if x>0:return x
  except:pass
  print("Enter a positive #")

def ea():
 while 1:
  try:
   x=float(input("Ea kJ/mol: "))
   if x>=0:return x
  except:pass
  print("Enter 0 or more")

print("ARRHENIUS EQ")
print("1 Find k")
print("2 Find k2")
print("3 Find Ea")
print("4 Find A")
c=""
while c not in ("1","2","3","4"):
 c=input("Choose 1-4: ")

if c=="1":
 a=pos("A: ")
 e=ea()*1000
 t=pos("Temp K: ")
 try:
  k=a*exp(-e/(R*t))
  print("k =",k)
 except OverflowError:print("k too large")

elif c=="2":
 k1=pos("k1: ")
 e=ea()*1000
 t1=pos("T1 K: ")
 t2=pos("T2 K: ")
 try:
  k2=k1*exp((-e/R)*(1/t2-1/t1))
  print("k2 =",k2)
 except OverflowError:print("k2 too large")

elif c=="3":
 k1=pos("k1: ")
 k2=pos("k2: ")
 t1=pos("T1 K: ")
 t2=pos("T2 K: ")
 if t1==t2:print("T1 and T2 differ")
 else:print("Ea kJ/mol =",-R*log(k2/k1)/(1/t2-1/t1)/1000)

else:
 k=pos("k: ")
 e=ea()*1000
 t=pos("Temp K: ")
 try:
  print("A =",k*exp(e/(R*t)))
 except OverflowError:print("A too large")

input("ENTER for guide: ")
print("QUICK GUIDE")
print("Higher T: larger k")
print("Higher Ea: smaller k")
print("Catalyst lowers Ea")
print("R=8.314 J/mol K")
print("DuckieDai: done!")
input("ENTER to exit: ")

from math import exp,log
R=8.314
def duckiedai_intro(program_name,wait=True):
title=program_name[:16]
empty=16-len(title)
left=empty//2
right=empty-left
print("+----------------------+")
print("| "+" "*left+title+" "*right+" |")
print("| |")
print("| __ |")
print("| ___(o )> quack! |")
print("| \\ <_. ) |")
print("| `---' |")
print("| by DuckieDai |")
print("+----------------------+")
print("Loading...")
if wait:
input("Press enter to start ")
print("\n"*6)
duckiedai_intro("ARRHENIUS")
def pos(s):
while 1:
try:
x=float(input(s))
if x>0:return x
except:pass
print("Enter a positive #")
def ea():
while 1:
try:
x=float(input("Ea kJ/mol: "))
if x>=0:return x
except:pass
print("Enter 0 or more")
print("ARRHENIUS EQ")
print("1 Find k")
print("2 Find k2")
print("3 Find Ea")
print("4 Find A")
c=""
while c not in ("1","2","3","4"):
c=input("Choose 1-4: ")
if c=="1":
a=pos("A: ")
e=ea()*1000
t=pos("Temp K: ")
try:
k=a*exp(-e/(R*t))
print("k =",k)
except OverflowError:print("k too large")
elif c=="2":
k1=pos("k1: ")
e=ea()*1000
t1=pos("T1 K: ")
t2=pos("T2 K: ")
try:
k2=k1*exp((-e/R)*(1/t2-1/t1))
print("k2 =",k2)
except OverflowError:print("k2 too large")
elif c=="3":
k1=pos("k1: ")
k2=pos("k2: ")
t1=pos("T1 K: ")
t2=pos("T2 K: ")
if t1==t2:print("T1 and T2 differ")
else:print("Ea kJ/mol =",-R*log(k2/k1)/(1/t2-1/t1)/1000)
else:
k=pos("k: ")
e=ea()*1000
t=pos("Temp K: ")
try:
print("A =",k*exp(e/(R*t)))
except OverflowError:print("A too large")
input("ENTER for guide: ")
print("QUICK GUIDE")
print("Higher T: larger k")
print("Higher Ea: smaller k")
print("Catalyst lowers Ea")
print("R=8.314 J/mol K")
print("DuckieDai: done!")
input("ENTER to exit: ")

Filename: arrhEQ.py
Size: 1837 bytes
SHA-256: 6ab61f3be9266dd9123bc38a0f3309fcb6150a5b8a36391c5307b6cffa24a245

Transfer and launch

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Download the .py source above and verify its SHA-256 digest if your computer provides that option.
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Version history

1.0.0 — current version, published 2026-09-23. Download this reviewed version

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