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3.5.2: Practice with Heat and Temperature Calculations

  • Page ID
    235921
  • Exercise \(\PageIndex{1}\)

    Convert each Celsius temperature to Fahrenheit and to Kelvin.  Use correct significant digits.

    a)  62.7 °C

    b)  4.8 °C

    c)  – 51.7 °C

    Answer a

    145 °F,  335.9 K 

    Answer b

    40.6 °F, 278.0 K

    Answer c

    – 61.1 °F, 221.5 K

    Convert each Fahrenheit temperature to Celsius and to Kelvin.  Use correct significant digits.

    d)  – 46.7 °F

    e)  6.3 °F

    f)  65 °F

    Answer d

    – 43.7 °C, 229.4 K

    Answer e

    – 14.3 °C, 258.9 K

    Answer f

    18 °C, 291 K

    Exercise \(\PageIndex{1}\)

    Convert each energy below.  [1 cal = 4.184 J exactly] [1 Cal = 1 kcal = 103 cal]

    a)  4.83 cal to J and to Cal

    b)  657 J to cal and to kcal

    c)  54.0 Cal to cal and to J

    Answer a

    20.2 J, 0.00483 Cal

    Answer b

    157 cal, 0.157 kcal

    Answer c

    54000 cal (or 5.40 x 104 cal), 226000 J. (3 sig dig in each)

    Exercise \(\PageIndex{1}\)

    You find that it takes 261 J to raise the temperature of a piece of metal from 18.6 °C to 42.2 °C.  The mass of your metal is 28.72 g.  What is the specific heat of the metal?

    Answer

    0.385 J/g °C

    Exercise \(\PageIndex{1}\)

    How much energy is needed to raise the temperature of 65.8 g of aluminum from 22.0 °C to 47.8 °C?  The specific heat of aluminum is 0.214 cal/g°C.

    Answer

    363 cal (which is 1520 J)

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