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Steam condenses at 100 degrees Celsius with a latent heat of 2257 kilojoules per kilogram. How much heat is released by condensing 2 kilograms?

  • A.4514 kilojoules
  • B.2257 kilojoules
  • C.1128 kilojoules
  • D.451 kilojoules

Answer: A

Correct answer: 4514 kilojoules

\[ 2 \times 2257 = 4514\ \mathrm{kJ}. \] The latent heat is per kilogram, so it multiplies by the mass. Note the magnitude against the previous item: condensing two kilograms of steam releases four and a half times the heat needed to warm ten kilograms of liquid through forty degrees, which is why latent heat dominates any balance in which a phase change occurs.

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