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31 December, 14:23

In the laboratory a "coffee cup" calorimeter, or constant pressure calorimeter, is frequently used to determine the specific heat of a solid, or to measure the energy of a solution phase reaction.

A student heats 66.72 grams of nickel to 99.22 °C and then drops it into a cup containing 85.21 grams of water at 21.46 °C. She measures the final temperature to be 27.64 °C.

The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was determined in a separate experiment to be 1.74 J/°C.

Assuming that no heat is lost to the surroundings calculate the specific heat of nickel.

Specific Heat (Ni) = ___ J/g°C.

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  1. 31 December, 14:57
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    0.461 j/g·°C*

    Explanation:

    Heat absorbed by water

    ΔT (Ni) = temperature change of metal = 99.22°C - 27.64°C = 71.58°C

    ΔT (water) = temp change for water = 27.64°C - 21.46°C = 6.18°C

    Heat flow into water = m (water) ·c (water) ·ΔT (water) = (85.24g) (4.184j/g·°C) (6.18°C) = 2204 joules = heat flow from metal (Ni)

    Specific Heat of Ni

    Q (Ni) = mass of Ni x specific heat of Ni x temp change of Ni

    => specific heat (based on data given) = Q (Ni) / (mass of Ni) (temp chg of Ni) = 2204j / (66.72g) (71.58°C) = 0461 j/g·°C*

    * (published value = 0.440 j/g·°C = > %Error = (0.461 - 0.44) / (0.44) X 100% = 4.9%)
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