PRE-LAB l) Whenever an object undergoes a change in temperature, the heat O adde

Question

PRE-LAB l) Whenever an object undergoes a change in temperature, the heat O added or taken from the object is given by where T, and T, are the initial and final temperatures, respectively, c is the specific heat of the material, and m is the mass of the object. The most common method used to determine the specific heat of a material is the method of mixtures. Objects at different temperatures are placed in thermal contact so that they can exchange thermal energy until they all reach a common final temperature. In an isolated system conservation of energy requires that the heat added to the cooler objects is equal to the heat given up by the hotter objects. Stated briefly, 20-01 The specific heat of one substance can be calculated if the specific heats of the others are known. You must also know the masses and initial temperatures of each substance and the final equilibrium temperature.

Explanation / Answer

The specific heat of unknown can be calculated as follows:

C = -Cw mw(Tf - Tw)/ma (Tf - T0)

plugging in the valrious values, we will get the value for uknown C. The units are J/g deg C

mw tw mo to tf C a 56 17 20 100 23 0.913 b 115 17 20 100 23 1.875 c 15.5 17 15 96 22 0.237 d 37 18 18 97 22 0.459 e 157 20 14 97 22 1.251 f 160 20 14 97 22 1.275

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