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A Levels Physics (9702)•9702/13/M/J/22
Question 16 from 9702/13/M/J/22

Explanation

Density from energy densities

Steps:

  • Volumetric energy density = specific energy × density, so density = (34.9 MJ/L) / (41.5 MJ/kg) = 0.841 kg/L.
  • Convert kg/L to kg/m³ by multiplying by 1000: 0.841 × 1000 = 841 kg/m³.
  • Express as scientific notation: 841 = 8.41 × 10² kg/m³ (article values yield ≈8.35 × 10² kg/m³).
  • Match to option A.

Why A is correct:

  • It equals the density calculated from the formula for energy density (volumetric = mass-specific × ρ).

Why the others are wrong:

  • B: Gives a volume (m³), not density (kg/m³).
  • C: Incomplete scientific notation, invalid units or value.
  • D: Far too low (12 kg/m³) for liquid fuel density.

Final answer: A

Topic: Density and pressure

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