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11 April, 13:15

The temperature of the cooling water as it leaves the hot engine

of a certain automobile is 244°F. After it passes through the

radiator it has a temperature of 177°F. Calculate the amount of

heat (in kJ) transferred from the engine to the surroundings by

one gallon of water with a specific heat of 4.1801

J/g.°C. (Assume the density of water is 0.997 g/mL across the

temperature range.)

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Answers (1)
  1. 11 April, 15:08
    0
    Q = 5.8 * 10²KJ

    Explanation:

    Given dа ta:

    Initial temperature = 177 °F (80.5556 °C)

    Final temperature = 244 °F (117.778 °C)

    Mass of water = 1 gal = 3785.41 g

    Specific heat of water = 4.1801 J/g.°C

    Amount of heat transfer from engine to surrounding = ?

    Solution:

    ΔT = T2 - T1

    ΔT = 117.778 °C - 80.5556 °C = 37.2224 °C

    Formula

    Q = m. c. ΔT

    Q = 3785.41 g * 4.1801 J/g.°C * 37.2224 °C

    Q = 588984.64 J

    Q = 588.985 KJ

    Q = 5.8 * 10²KJ
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