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24 April, 03:51

A hunk of up gold weighs 800 gram to heat the gold up to a temperature of 200 Kelvin if the gold absorbs 12 kilojoules of energy what was the initial temperature of the Gold? The specific heat capacity of gold is 0.129 grams times C

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  1. 24 April, 06:21
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    The initial temperature of the gold was 84 K.

    Step 1. Calculate the temperature change.

    The formula for the heat (q) absorbed is

    q = mCΔT

    We can solve this equation to get

    ΔT = q / (mC)

    q = 12 000 J; m = 800 g; C = 0.129 J·K⁻¹g⁻¹

    ∴ ΔT = 12 000 J / (800 g * 0.129 J·K⁻¹g⁻¹) = 116 K

    Step 2. Calculate the initial temperature

    ΔT = T_f - T_i = 200 K - T_i = 116 K

    T_i = 200 K - 116 K = 84 K
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