In the laboratory a \"coffee cup\" calorimeter, or constant pressure calorimeter

Question

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 64.18 grams of tungsten to 99.25 degree C and then drops it into a cup containing 83.44 grams water at 21.98 degree C. She measures the final temperature to be 23.76 degree C. The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was determined in a separate experiment to be 1.57 J degree C. Assuming that no heat is lost to the surroundings calculate the specific heat of tungsten. Specific Heat (W) = J/g degree C.

Explanation / Answer

Specific heat refers to the amount of heat required to raise unit mass of a substance's temperature by 1 degree.

The Specific Heat formula is:

c = Q / (m × T)

Where:

c: Specific Heat , in J/(kg.K) = ?

Q: Heat required for the temperature change, in J = 1.57J/Celcius

T: Temperature change, in K = 99.25 - 23.76 = 75.49= 348.49K

m: Mass of the object, in kg = 83.44g = 0.08344kg

c = Q / (m × T)

   =1.57/(0.08344 * 348.49)

=5.40 * 10^-2 J/(kg.K)

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