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22 February, 17:48

Some homes that use baseboard heating use copper tubing. Hot water runs through and heats the copper tubing, which in turn heats aluminum fins. It is actually the aluminum fins that heat the air rising through the fins. How much energy would it take to heat a section of the copper tubing that weighs about 595.0 g, from 15.18 ∘C to 21.28 ∘C? Copper has a specific heat of 0.3850 (J/g) ⋅∘C. Express your answer to four significant figures.

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  1. 22 February, 18:48
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    The amount of heat needed is 1397 j.

    Explanation:

    Given dа ta:

    Mass of copper tubing = 595.0 g

    Initial Temperature = 15.18 °C

    Final temperature = 21.28 °C

    Specific heat of copper = 0.3850 j/g°C

    Amount of heat required = ?

    Solution:

    Change in temperature

    ΔT = T2 - T1

    ΔT = 21.28 - 15.18 = 6.1 °C

    Formula:

    Q = m. c. ΔT

    Q = amount of heat

    m = mass

    c = specific heat

    ΔT = change in temperature

    Now we will put the values in formula,

    Q = m. c. ΔT

    Q = 595 g. 0.3850 j/g°C. 6.1 °C

    Q = 1397.36 j

    The amount of heat needed is 1397 j.
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