# Specific Heat Capacities Of Metal Essay

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Specific Heat Capacities of Metal Purpose: To measure the specific heat capacities of aluminum, steel and brass. Theory: The amount of heat that is required to change the temperature of an object is proportional to the mass of the object the the temperature change of the object: Q=cmT Where Q=amount of heat c=specific heat capacity of the material m=mass of the object T= temperature change of the object “Calorie” is the unit of quantity of heat and is defined as the amount of heat required to raise the temperature of one gram of water from 14.5 °C to 15.5 °C. Then, the water has a specific heat of 1 cal/g°C. So: Cw=Q/mT=1cal/(1g)(1°C) The specific heat can be found by measuring the temperature change of a given mass of material produced by a quantity of heat. This is done by a procedure known as the method of mixture. This method involves an object with a mass (m) that is heated by an initial temperature (T1) and then placed in water. Water has a mass of (Mw) and a temperature of (Tw). The mixture will come to an equilibrium which leaves us with a final temperature of (T2). So: mc(T1-T2)=MwCw(T2-Tw) Cw and c are the specific heats of the the water and material. Procedure: We had three different metals (aluminum, steel and brass) for this lab. We first boiled 1000g of water in a beaker on the hot plate and then submerged the metal object into the heated water. After allowing time for the metal to absorb the heat we removed the object and placed it in 100g of room temperature water in plastic cup. After shaking the cup gently to ensure that the mixture reached the equilibrium temperature quickly, we measured the final temperature to get the ‘T2' value. We repeated these steps three times for each individual metal object. Results: Data Set 1 aluminum m(g) T1 (°C) Mw (g) Tw(°C) T2(°C) c(cal/g°C) 1 26.5 100 100 23.0 27 .207