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Calorimetry In all physical and chemical reactions energy is either released or absorbed. If energy is released in a reaction, it is said to be exothermic and the potential energy of the reactants will be higher than the potential energy of the products. If energy is absorbed in a reaction, it is said to be endothermic and the potential energy of the reactants will be lower than the potential energy of the products. The amount of energy being released or absorbed in a reaction can be measured using a device called a calorimeter. A calorimeter is a device made out of insulating materials and contains a reaction chamber within that is surrounded by water, or a calorimeter could be something as simple as a styrofoam cup. When the reaction takes place within the reaction chamber, energy is either released to the water surrounding the reaction chamber or it is absorbed from the water surrounding the chamber. The amount of energy released or absorbed in the reaction can be calculated if you know the following three things: Temperature change of the water in the calorimeter Mass of the water in the calorimeter Specific heat of water The specific heat of water is the amount of heat needed to raise the temperature of 1 gram of water by 1 °C. The accepted value for the specific heat of water is 4.184 Joules per gram per °C. The equation that relates the 3 variables above is: q = mcΔT Where q is equal to the amount of heat released or absorbed in joules. Where m is the mass of water in the calorimeter in grams. Where c is the specific heat of water in J/g.°C. Where *T is the change in temperature of the water in °C. Example 1: How many joules of heat are released in a reaction where 350.0 grams of water in a calorimeter increase in temperature from 20.0 °C to 35.0 °C? q=? m = 350.0 g c = 4.184 J/g.°C *T = 35.0 °C - 20.0 °C = 15.0 °C q = (350.0 g) (4.184 J/g.°C) (15.0 °C) q = 21966 joules = 2.20 x 104 joules Example 2: What is the specific heat of a piece of aluminum if a 25.0 gram sample at 85.0°C is placed in a styrofoam cup calorimeter containing 150.0 mL of water at 25.0°C and the temperature of the water in the calorimeter increases to 27.1°C? When the hot piece of aluminum is placed into the cooler water, the aluminum will cool down and the water will warm up until they are at the same temperature (27.1°C). The heat lost by the aluminum (qAl) should equal the heat gained by the water (qH2O). If we use the equation q= mc*T, we can calculate the heat gained by the water and use that number to calculate the specific heat of the aluminum. q = mcΔT qH2O = ? mH2O = 150.0 grams (the density of water is 1 g/mL, so the milliliters of water equal the grams) cH2O = 4.184 J/g.°C *TH2O = 2.1°C (27.1°C - 25.0°C) qH2O = 150.0 g x 4.184 J/g.°C x 2.1°C qH2O = 1.3 x 103 Joules qH2O = qAl qAl = 1.3 x 103 Joules mAl = 25.0 grams cAl = ? *TAl = 57.9°C (85.0°C - 27.1°C) q = mcΔT 1.3 x 103J = 25.0 g x c x 57.9°C cAl = 1.3 x 103J (25.0 g)(57.9°C) cAl = 0.90 J/g.°C