SPECIFIC HEAT Note to Instructors: Have students work in groups of 4 - 5. Purpose: To determine the specific heat of an unknown metal. Materials: Metal bars of aluminum, magnesium, zinc, copper, and tin, styrofoam picnic cups. Safety Precautions: water. As always, care should be taken with Bunsen Burners/Hot plates and boiling Introduction The specific heat (C) of a material is defined as the number of calories of heat required to change the temperature of one gram of the substance one degree Celsius and is measured in calories (or joules) per gram per degree (cal/goC). A metal bar is weighed, heated to the temperature of boiling water, and quickly transferred to a calorimeter containing a known weight of water at a known temperature. The bar transfers its heat to the water, and an equilibrium temperature is reached. From the data obtained the specific heat of the metal can be calculated. The calculation is based on the fact that the heat lost by the metal is gained by the calorimeter and it contents. Calories lost by metal = [calories gained by water] + [calories gained by calorimeter] Cmetal x mmetal x Tmetal = [CH2O x mH2O x TH2O] The specific heat of water (CH2O ) is 1.00 cal/goC or 4.18 J/goC. Cmetal = [CH2O x mH2O x TH2O] mmetal x Tmetal Scientists often use the Greek letter delta, , to mean "change in," the difference between final value and initial value. Therefore, T is obtained by subtracting the initial temperature from the final temperature. PROCEDURE 1. Metal bar. Weigh the bar to the greatest accuracy possible on the balance. Carefully place the metal bar into a large test tube. Prepare a water bath by placing 200 ml of water in a 400-ml beaker mounted on a ring stand or a hot plate and heat the bar in its test tube to the boiling temperature of water for five minutes. While the bar is heating weigh a dry calorimeter on a balance. NOTE: For each trial, the calorimeter should be emptied, dried, and reweighed. Add about 25 ml of distilled water and weigh again. The difference is the weight of the calorimeter water. When the calorimeter is ready, place a thermometer in the test tube containing the bar. The temperature will slowly rise to between 99oC and 100oC. Continue to heat for at least 5 minutes (when the temperature in the test tube is constant). Record it's temperature to the nearest 0.1oC, leave the test tube and bar in the boiling water, but remove the thermometer from the test tube. Cool the thermometer to room temperature in water, dry it, and transfer it to the calorimeter, and read the temperature every 30 seconds until the temperature remains constant. Read the temperature to the nearest 0.1oC and record this value as the "initial temperature of the water." It is important that the same thermometer be used for both the test tube and the calorimeter. Bring the calorimeter to the water bath, remove the test tube with a test tube holder, and quickly transfer the bar to the calorimeter. Make sure that the entire bar is submerged. Stir the water with the thermometer and read the temperature every 30 seconds. When it has reached the maximum, read it to the nearest 0.1oC and record this value as the "equilibrium temperature of the water + metal." Repeat one more time. B. Calculations Calculate the specific heat of the unknown metal using Equation 2. Remember that the specific heat of water (CH2O) is 1.00 cal/goC or 4.18J/goC. Look up the accepted values in the Handbook of Chemistry and Physics and calculate the percent error. Name________________________ Date_________________________ Specific Heat REPORT SHEET A. Calorimeter Measurements Identity of metal = Sample #1 ________ Sample #2 ________ Mass of metal = ________ ________ Mass of Calorimeter + Water = ________ ________ Mass of calorimeter = ________ ________ Mass of water = ________ ________ Equilibrium temp of water + metal = ________ ________ Initial temp of water = ________ ________ Temp change (TH2O) of water = ________ ________ B. Calculations Calculation of specific heat of metal (Cmetal) showing mathematical setup Sample # 1 Sample # 2 Percent error calculation Sample #1 ________ Sample #2 ________ ________ ________ Percent error = ________ ________ Cmetal observed = Cmetal from literature =