What is the specific heat of a metal if 17.5 g metal has a temperature increase of 26.8 °C when 570.4J of energy are added to it?

What is the specific heat of a metal if 17.5 g metal has a temperature increase of 26.8 °C when 570.4J of energy are added to it?

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  1. Answer:

    1.22 J/g.°C

    Explanation:

    Step 1: Given data

    • Mass of the metal (m): 17.5 g
    • Temperature increase (ΔT): 26.8 °C
    • Added energy (Q): 570.4 J

    Step 2: Calculate the specific heat of the metal (c)

    A metal absorbs heat and, as a consequence, its temperature increases. We can calculate its specific heat using the following expression.

    c = Q / m × ΔT

    c = 570.4 J / 17.5 g × 26.8 °C = 1.22 J/g.°C

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