Energy Unit Conversion Guide Using Dimensional Analysis

Understanding the Units

kJ/g: Energy per gram
kJ/mol: Energy per mole
kJ/L: Energy per litre
Density (g/L): Mass per litre
Molar Mass (g/mol): Mass per mole

Conversions

1. kJ/g → kJ/mol

(kJ/g) × (g/mol) = kJ/mol

2. kJ/g → kJ/L

(kJ/g) × (g/L) = kJ/L

3. kJ/mol → kJ/g

(kJ/mol) ÷ (g/mol) = kJ/g

4. kJ/mol → kJ/L

(kJ/mol) × (g/L ÷ g/mol) = kJ/L

= (kJ/mol) × (density / molar mass)

5. kJ/L → kJ/mol

(kJ/L) × (g/mol ÷ g/L) = kJ/mol

= (kJ/L) × (molar mass / density)

Example Calculation

Given:
Energy content = 2.5 kJ/g
Molar mass = 58.5 g/mol
Density = 1200 g/L

Find:
kJ/mol = 2.5 × 58.5 = 146.25 kJ/mol
kJ/L = 2.5 × 1200 = 3000 kJ/L