IB ChemistryReactivity 1R1.3R1.3.2
R1.3.2

Energy Density & Specific Energy

Comparing fuels by mass and volume. And the molecular greenhouse mechanism.

Definitions

Term Definition Units
Specific energy Energy released per unit mass of fuel kJ g⁻¹ or MJ kg⁻¹
Energy density Energy released per unit volume of fuel kJ cm⁻³ or MJ dm⁻³

🔑 Hydrogen Paradox

H₂ has the highest specific energy of any fuel (~142 MJ kg⁻¹) because it is so light, but an extremely low energy density because it is a gas at room temperature. Storing enough H₂ requires high-pressure tanks or cryogenic liquefaction.

The Greenhouse Effect. Molecular Mechanism

  1. Sun emits short-wavelength radiation (UV/visible) → passes through atmosphere
  2. Earth's surface absorbs it, warms up, re-emits long-wavelength infrared radiation
  3. Greenhouse gases (CO₂, CH₄, H₂O) absorb the IR because their bond vibrations (asymmetric stretch, bending) cause a temporary dipole change
  4. Absorbed energy is re-radiated in all directions. Some back to Earth → warming

⚠️ Examiner Trap

N₂ and O₂ are not greenhouse gases. They are non-polar and cannot change their dipole moment when they vibrate, so they do not absorb IR.

📘 Key Definitions

Specific energy = energy released per unit mass (kJ g-1)

Energy density = energy released per unit volume (kJ dm-3)

📐 Worked Example: Calculate the Specific Energy of Methane

Given: ΔHc = -890 kJ mol-1, Mr(CH4) = 16.05

Specific energy = |ΔHc| ÷ Mr = 890 ÷ 16.05 = 55.5 kJ g-1

Fuel Comparison

Fuel ΔHc (kJ mol-1) Mr Specific energy (kJ g-1)
Hydrogen-2862143.0
Methane-8901655.6
Octane-547111448.0
Ethanol-13674629.7

Hydrogen has the highest specific energy, but its very low density means its energy density (kJ dm-3) is much lower, making storage a major challenge.

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