Andres Martinez 6th Period Chemistry Honors Dr. Abusalih Title: Heat of Fusion Lab Report Purpose: (a) The purpose of the heat of fusion lab is to determine the heat of fusion for water by monitoring the changes in temperature while a known mass of ice melts in a cup of water. (b) The purpose of part B: melting Ice Experiment, is to analyze the rates in which ice melts with distilled water versus salt water to find out whether ice melts faster in distilled water, or salt water. Introduction: In science, there are processes known as phase changes. This is when a substance in the form of one of the three phases solid, liquid, or gas, changes into a different form. When a substance melts from a solid to a liquid, the reaction has a specific name, fusion. In this lab we are finding the heat of fusion of water. The heat of fusion of anything is the amount of heat required to convert unit mass of a solid into the liquid without a change in temperature. In other words, it is the amount of energy that is needed to melt a unit mass of a solid into a liquid, without a change in temperature. This amount of energy will vary based on the mass of the material undergoing the change. To find the heat of fusion of water, first you have to isolate the water from any other reactions by placing it in a calorimeter. Materials: ice, 400 ml beaker, Bunsen Burner, thermometer, Styrofoam cup and lid, distilled water. Method: Procedure: (a) Be careful to make accurate measurements! First a 400 mL beaker was filled to about half full of distilled water and heated on the Bunsen burner to about 40-45°C. Next a thermometer was placed into a bucket of ice and the temperature reading on the thermometer was allowed to stabilize. The temperature was then recorded in the column of Tice in row 6. Then the Styrofoam cup calorimeter was assembled with the cover and the mass of both the calorimeter and the cover was measured and recorded in row 1. The inner cup of the calorimeter was filled to about half full with warm, distilled water and the cover was replaced. The mass of the calorimeter and warm water was recorded in row 2. The thermometer was then placed into the calorimeter and stirred for one minute. The temperature of the water was then recorded in row seven; Tw. Next two ice cubes were obtained and dried with a paper towel, being careful not to touch the ice with bare hands to not risk melting, and placed into the calorimeter. The calorimeter was then covered and stirred with the thermometer until all of the ice was melted. The temperature should have then been 8-12 °C. If it was not in that temperature range more ice was added. Then the temperature of the water with melted ice was recorded in Tfinal in the data table. The thermometer was removed from the calorimeter and the mass of the calorimeter, cover, and cool water was recorded in row 4. The process was then repeated in case errors occurred. (b) First the calorimeter was placed on a scale to record the mass on a data table. Then 150 mL of water was added to the calorimeter and it was placed on the scale to record the mass of the Calorimeter and the water. Then the two values were subtracted from each other to find the value of the mass of the water itself. A thermometer was then placed in the water and the temperature was recorded. Another thermometer was placed in the bucket of ice provided and that temperature was also recorded. Then 5-6 ice cubes were added to the calorimeter careful not to spill it with the bouncing of ice. The temperature is then recorded when the ice cubes have melted completely. The process may then be repeated in case of errors. The average of the three trials was recorded on the data table. The averages were then used to determine the heat of fusion of the ice. Data Table: 1. Mass of Calorimeter and Cover (g) 2. Mass of Calorimeter and cover and warm water (g) 3. Mass of warm water 4. Mass of Calorimeter and cover and cool water (g) 5. Mass of Ice mice (g) 6. Tice (°C) 7. Tw (°C) 8. Tf (°C) 9. Heat lost Warm Water 10. Heat Gained, Cold Water 11. Heat Gained, Ice 12. Hfusion 13. Average Hfusion 14. Percent Error Trial 1 1.749g Trial 2 1.744g 225.378g 229.65g 223.636g 225.38g 246.20g 250.34g 20.822g 0 °C 44°C 14 °C 6709.08 cal/g°C 20.7g 0 °C 42 °C 16 °C 5859.88 cal/g°C 291.508 cal/g°C 331.2 cal/g°C 6417.572 cal/g°C 308.211 cal/g°C 287.648 cal/g°C 5528.68 cal/g°C 267.085 cal/g°C Calculations: Make sure that you keep track of your units 1. Subtract the mass of the calorimeter (row 1) from the mass of the calorimeter + warm water (row 2), enter this difference as the mass of warm water (mw in row 3). Trail 1: 225.378g-1.749g= 223.636g Trail 2: 229.65g-1.744g= 225.38g 2. Subtract the mass of the calorimeter and warm water (row 2) from the mass of the calorimeter + cool water (row 4), enter this difference as the mass of the ice (row 5). Trail 1: 246.20g- 225.378g= 20.822g Trail 2: 250.34- 229.64= 20.7g 3. The warm water in the cup loses heat to melt the ice and then to warm up the new cold water formed when the ice cube melts. The heat lost by the warm water can be calculated using the equation below: (Hsp = 1 cal/g °C) Heat lost (warm water) = mw x Hsp x (Tw -Tfinal) (enter in row 9) Trail 1: Heat lost= 223.636g x 1cal/g°C X ( 44°C -14°C)=223.636 cal/g°C X (30° C) = 6709.08 cal/g°C Trail 2: Heat lost= 225.38g x 1cal/°C x (42-16) = 225.38 cal/°C x (26) = 5859.88 cal/g°C 4. In our experiment, the ice cube melts and turns into cold water (which has the same mass as the ice cubes). This cold water gains heat from the warm water, and the heat gained can be calculated from the equation below: (Hsp = 1 cal/g ° C) Heat gained (cold water) = mice x Hsp x (Tfinal -Tice) (enter in row 10) Trail 1:Heat gained (cold water)= (20.822g)x1 cal/g°C x(14) = 291.508 cal/g°C Trail 2:Heat gained (cold water)= (20.7g) x x 1 cal/g°C x (16) = 331.2 cal/g°C 5. Obviously, the ice cubes must gain heat from the warm water in order to melt. The law of conservation of energy says that the heat gained by the ice and the cold water must be equal to the heat lost by the cold water. Heat gained (ice) + Heat gained (cold water) = Heat lost (warm water) We need to know the heat gained (ice), so the above equation can be rearranged and solved: Heat gained (ice) = Heat lost (warm water) - Heat gained (cold water) (enter in row 11) Trail 1: Heat gained (ice)=6709.08 cal/g°C-291.508 cal/g°C= 6417.572 cal/g°C Trail 2: Heat gained(ice)= 5859.88 cal/g°C-331.2 cal/g°C= 5528.68 cal/g°C 6. We are trying to determine the heat of fusion for ice and compare it to the accepted value. The heat gained by the ice depends on the mass of ice multiplied by Hfusion. To find Hfusion, the equation can be rearranged and solved: Heat gained (ice) = mice x Hfusion Hfusion = Heat gained (ice) = row 11 mice row 5(enter in row 12) Trail 1: Hfusion= heat gained (ice)/ mice = 6417.572 cal/g°C / 20.822g = 308.211 cal/g°C Trail 2: Hfusion=heat gained (ice)/ mice= 5528.68 cal/g°C / 20.7g = 267.085 cal/g°C 7. Compute the average Hfusion for your three trials. (308.211 cal/g°C +267.085 cal/g°C)/2 = 287.648 cal/g°C 8. Compare your average Hfusion with the accepted value of 80.0 calories/gram. The most convenient way to express their relationship is by calculating the % difference. % difference = 100 x (80.0 - Hfusion)/80.0 100 (80-287.648)/80= -269.56 Method (heat formula and percent error) two points Calculations( must show steps 4-6, and 8) 4 points Analysis of parts a and b (must explain major findings and explain it) 2 points Conclusion1 point 21/20