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Physics · Ch 8 — Heat and Thermodynamics

Calorimetry

8.2.6

Calorimetry

Calorimetry is the measurement of the heat released or absorbed by a system during a heating process. If a hot body is placed in contact with a colder one and no heat escapes to the surroundings, the heat lost by the hot body exactly equals the heat gained by the cold one: Qgain=−QlostQ_{gain}=-Q_{lost}. This is measured practically using a calorimeter, an insulated vessel of water with a thermometer and stirrer (Figure 8.9); dropping a sample of mass m1m_1, specific heat s1s_1, at temperature T1T_1 into calorimeter water of mass m2m_2, specific heat s2s_2, at temperature T2T_2 (Figure 8.10), both reach a common final temperature Tf=m1s1T1+m2s2T2m1s1+m2s2.T_f=\dfrac{m_1s_1T_1+m_2s_2T_2}{m_1s_1+m_2s_2}. Example 8.7 works this out for 5 L of 50°C water mixed with 4 L of 30°C water, giving Tf≈41°CT_f\approx41°C; the text also notes that for equal masses of the same subs …

Figure 8.9A calorimeter

What this figure shows. A cutaway diagram of a standard laboratory calorimeter: an outer insulating wooden casing surrounds a layer of trapped air (acting as extra insulation), inside which sits the metal calorimeter cup filled with water, with a thermometer dipped into the water to read its temperature and a stirrer used to keep the water well-mixed so its temperature is uniform throughout. The whole assembly is built specifically to prevent any heat from escaping to (or entering from) the outside surroundings, which is exactly t …

Figure 8.10Calorimeter with a hot sample block

What this figure shows. The same calorimeter cutaway as Figure 8.9 (insulating casing, trapped-air layer, calorimeter cup, thermometer, stirrer), but now with a small solid sample block shown being lowered into the water. The sample, initially heated to a high temperature T1, is dropped into the calorimeter's water which starts at room temperature T2; the figure sets up the exact scenario the calorimetry final-temperature formula is derived for, where heat flows from the hot sample into the cooler water until both re …