Answer Key: Self-Test C-1.19

  1. Define specific heat.
    1. Specific heat is the amount of heat necessary to raise the temperature of 1 lb. of a substance 1 °F.
  2. Define sensible heat.
    1. Sensible heat is the heat energy gain or loss that will cause the temperature of a substance to change.
  3. Define latent heat.
    1. Latent heat is the heat energy gain or loss that will cause the physical state of a substance to change.
  4. Give the BTU values for the following:
    1. specific heat for ice
      1. [latex]0.5\frac{\text{BTU}}{\text{lb.}}\text{°F}[/latex]
    2. specific heat for water
      1. [latex]1\frac{\text{BTU}}{\text{lb.}}\text{°F}[/latex]
    3. specific heat for steam
      1. [latex]0.5\frac{\text{BTU}}{\text{lb.}}\text{°F}[/latex]
    4. latent heat of fusion (water)
      1. [latex]144\frac{\text{BTU}}{\text{lb.}}[/latex]
    5. latent heat of vaporization (water)
      1. [latex]970\frac{\text{BTU}}{\text{lb.}}[/latex]
  5. How many BTUs are required to raise the temperature of 39 pounds of water at 47°F to water at 212°F?
    1. 6,435 BTU
  6. How many BTUs are required to raise the temperature of 17 lb. of ice at 3°F to water at 79°F?
    1. 3,493.5 BTU
  7. How many BTUs are required to raise the temperature of 23 imperial gallons of water at 150°F to steam at 225°F?
    1. 238,855 BTU
  8. How many BTUs are liberated when 183 pounds of steam are cooled from 250°F to –18°F ice?
    1. 244,854 BTU
  9. How many pounds of ice at 12°F could we change to water at 121°F if we introduced 145,000 BTU to the container?
    1. 597 lb.
  10. How many BTUs will it take to heat 4,124 lb. of ice at –17°F to steam at 233°F?
    1. 5,480,796 BTU
  11. How many pounds of steam at 245°F could we change to ice at –77°F if we removed 900,500 BTUs from the substance?
    1. 659.7 lb.
  12. How many BTUs would it take to heat 256 lb. of ice at –55°F to steam at 259°F?
    1. 348,416 BTU
  13. How many BTUs would it take to warm up a swimming pool by 20°F if the pool measured [latex]16\text{'} \times 20\text{'}[/latex] and had an average depth of 5′?
    1. 1,996,800 BTU
  14. How many BTUs would it take to warm up a hot tub by 25°F if the tub measured 6′ in diameter and had a depth of 4′?
    1. 176,432 BTU

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