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20 September, 00:01

a 4kg metal block absorbs 5000j of energy and increases to a temperature of 22°c. the metal has a specific heat capacity of 250j/kg°c. what was the original temperature of the block?

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  1. 20 September, 00:55
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    17 °C

    Explanation:

    From specific Heat capacity.

    Q = cm (t₂-t₁) ... Equation 1

    Where Q = Heat absorb by the metal block, c = specific heat capacity of the metal block, m = mass of the metal block, t₂ = final temperature, t₁ = Initial temperature.

    make t₁ the subject of the equation

    t₁ = t₂ - (Q/cm) ... Equation 2

    Given: t₂ = 22 °C, Q = 5000 J, m = 4 kg, c = 250 J/kg.°c

    Substitute into equation 2

    t₁ = 22-[5000 / (4*250)

    t₁ = 22 - (5000/1000)

    t₁ = 22-5

    t₁ = 17 °C
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