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Entropy Calculator

Entropy Calculator

Calculate entropy changes for chemical reactions, Gibbs free energy, and isothermal gas processes

Calculate Entropy Changes

J/(mol·K)
J/(mol·K)

Quick Select Common Substances (Standard Entropy Values)

Click to add to products total (modify as needed)

Reaction Entropy Change

0.00
J/(mol·K)
Thermodynamic Tendency
ΔS°reaction = S°products - S°reactants
Formula Used

Analysis:

Calculation: 0 - 0 = 0.00 J/(mol·K)

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Quick Examples

Water Formation

2H₂ + O₂ → 2H₂O

ΔS = -326.4 J/(mol·K)

Entropy decreases (gas → liquid)

Ice Melting

H₂O(s) → H₂O(l)

ΔS = +22.0 J/(mol·K)

Entropy increases (order → disorder)

Gas Expansion

Volume doubles at constant T

ΔS = nR ln(2) = +5.76n J/K

Always positive for expansion

Standard Entropy Values

H₂ (gas)131
O₂ (gas)205
H₂O (gas)188.7
H₂O (liquid)69.9
CO₂ (gas)213.8
N₂ (gas)191.6
C (diamond)2.4
C (graphite)5.7

*Values in J/(mol·K) at 298.15 K

Understanding Entropy and Thermodynamics

What is Entropy?

Entropy (S) is a measure of disorder or randomness in a system. It quantifies the number of microscopic configurations that correspond to a thermodynamic system's macroscopic state. The second law of thermodynamics states that the entropy of the universe tends toward a maximum.

Key Entropy Concepts

  • Gases have higher entropy than liquids and solids
  • Higher temperature increases entropy
  • More complex molecules have higher entropy
  • Mixing increases entropy

Entropy Calculations

Chemical Reactions

ΔS°reaction = ΣS°products - ΣS°reactants

Use standard entropy values at 298.15 K

Gibbs Free Energy

ΔG = ΔH - TΔS

Determines reaction spontaneity

Isothermal Gas Processes

Volume: ΔS = nR ln(V₂/V₁)

Pressure: ΔS = -nR ln(P₂/P₁)

For ideal gases at constant temperature

Entropy and Spontaneity

ΔS > 0

Entropy increases. Favors spontaneity. System becomes more disordered.

ΔS < 0

Entropy decreases. Opposes spontaneity. System becomes more ordered.

ΔG Relationship

Both ΔH and ΔS contribute to spontaneity through the Gibbs free energy equation.

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