Heat Capacity of Different Materials Purpose: To calculate the capacity of some materials to store heat To understand the relationship between heat capacity and temperature Materials Required A thermometer Two Styrofoam cups Room-temperature water A source of hot water (a hot plate, hot tap water) A scale Two objects chosen from a collection of several o Objects should easily fit in the Styrofoam cup and take about ¼ the volume of the cup o Objects should be chosen to have very different characteristics, but ideally all would be mostly submerged in water (either not floating or barely floating) o Items should be representative of what is inside a house o Some examples: Metal: A large metal bolt, several washers bolted together, fishing weight, piece of aluminum, brass, or copper. A piece of tile, porcelain A piece of concrete, a large stone, gravel Heat resistant glass (so it doesn’t shatter in hot/cold water), marbles Dense wood (that mostly sinks) Dense plastic (not hollow) A rock or stone, piece of concrete Procedure For each object: - Fill a cup with room-temperature water in such a way as to record the mass of the water (either tare the cup on the scale before filling or subtract the mass of the empty cup from the mass of the cup with water) - Record the water temperature (°C) - Invert the top cup and place it on top of the cup with water, creating a closed container. - Poke a hole or otherwise mount the thermometer so that the whole system can be weighed and place the system on the scale and measure the weight (grams) - Immerse the object in hot water, letting is stand for at least 2 minutes - Quickly transfer the object to the test apparatus, replacing the top cup quickly. - Record the new mass - Watch the temperature change and record the final temperature Data: Item 1 Item 2 Description of item Mass of Water (g) Initial Water Temperature (°C) Initial mass of test apparatus (g) Temperature of Hot Water (°C) Final mass of test apparatus (g) Final Temperature (°C) Analysis: Heat capacity is defined as amount of heat a material can absorb or give off when its temperature changes by one degree. When two objects are brought together, they ultimately reach the same temperature. When an object is cooled off in water, the water absorbs that heat and the temperature of the water rises. The greater the heat capacity of the object, the greater the water temperature will rise. In this analysis we will use the known specific heat capacity of water (1 calorie/(gram °C)) to calculate the specific heat capacity of other materials. We first calculate the heat that is transferred to the water by measuring the temperature rise in the water. Knowing the temperature change, the water’s mass, and the specific heat of water we can calculate how much heat is absorbed by the water. We know how much heat is lost by the object since it equals the amount of heat gained by the water. We also know the temperature change of the object and so can calculate the objects specific heat capacity. Calculation of Heat Transferred (a) Final – Initial Water Temperature (°C) (b) Mass of water (from above, g) (c) Specific heat capacity of water (cal/ g °C) (d) Heat transferred (cal) = (a) * (b) * (c) Mass of object (e) Final - Initial mass of test apparatus (g) (f) Temperature of Hot Water – Final Water Temperature (°C) (e) Specific heat capacity of the object (cal/ g °C) = (d) / ((e) * (f)) Item 1 Item 2 1 1 Discussion: Which material has the higher heat capacity? If you wished to store heat from the sun during the day so it would be available at night when it is cooler, which material would be better? Why? Discuss with other lab groups about materials they tested. Of all the materials in the classroom, which would be good choices for heat storage? What are some items in a typical home that are made of this material? How could the use of this material be increased? You were restricted to testing objects that would not float. If you were able to test items that floated (light wood, bits of Styrofoam, a balloon filled with air), would you expect them to have a large or small heat capacity. Rubric Stellar Well Done OK Missed the mark Experiment Records data as taken, data table is neat, units are observed, care is taken Data is sloppily recorded, readings are done casually/quickly Data is missing or approximated Data Analysis Calculations are done neatly and accurately and with appropriate significant figures Discussion Answers are in full sentences, show understanding of the concept of specific heat, show understanding of relevance to a home. Calculations are done accurately and are either not neat or have incorrect number of significant figures Answers show understanding of the concept of specific heat, some understanding of relevance to a home. Data obtained, but due care is not seen. Top cup is slightly off, not monitoring temperature rise, etc. Calculations require correction or instructions not followed. Very brief answers that echo material presented, marginally neat, some relevance to a home. Answers are missing or so short as to provide no insight into the understanding by the student. Calculations are incorrect because procedure was not followed.