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17 September, 12:36

A laboratory technician drops a 0.0850 kg sample of unknown material, at a temperature of 100.0∘C, into a calorimeter. The calorimeter can, initially at 19.0∘C, is made of 0.150 kg of copper and contains 0.200 kg of water. The final temperature of the calorimeter can is 26.1∘C.

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  1. 17 September, 14:48
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    1013.32 J/kg. K

    Explanation:

    The heat transferred by a changing in temperature without phase change can be calculated by:

    Q = m*c*ΔT

    Where m is the mass, c is the specific heat, and ΔT is the change in temperature (final - initial).

    The values of c for water and copper can e found in thermodynamics tables:

    cwater = 4.19x10³ J/kg. K

    ccopper = 0.39x10³ J/kg. k

    By the conservation of energy:

    Qwater + Qcopper + Qmaterial = 0

    0.200*4.19x10³ * (26.1 - 19.0) + 0.150*0.39x10³ * (26.1 - 19.0) + 0.085*c * (26.1 - 100) = 0

    5949.8 + 415.35 - 6.2815c = 0

    6.2815c = 6365.15

    c = 1013.32 J/kg. K
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