IV. Results: The following table can be used to determine the density of a liquid. Mass of clean dry graduated cylinder (grams) Volume of liquid (ml) Mass of cylinder and liquid (grams) New Volume of liquid ml New mass of cylinder and liquid (grams Liquid A 23.30g Liquid B 23.50g Liquid C 23.16g 6.2 ml 6.1ml 6.5ml 28.03g 31.33g 29.71g 8.2ml 9.0ml 8.8ml 29.86g 34.30g 31.89g D=m = (28.03g-23.30g) = .7629 g/ml = .76 g/ml V (6.2 ml) Average = .78 g/ml 2-propanol Average = 1.2 g/ml 1,2,3 propanetriol D=m = (29.86g-23.30g)= .8 g/ml = .80 g/ml V (8.2 ml) D=m = (31.33g-23.50g) = 1.2836 g/ml = 1.3 g/ml V (6.1 ml) D=m = (34.30g-23.50g)= 1.2 g/ml V (9.0 ml) D=m = (29.71g-23.16g) = 1.007 g/mL = 1.0 g/mL V (6.5 ml) D=m = (31.89 g-23.16g)= .992 g/ml = .99g/mL V (8.8 ml) Average = 1.0g /mL water Specific Heat Capacity Lab Calculations IV. Results: The following data can be used to determine the specific heat capacity of a piece of metal. Metal = Iron Mass of metal (grams) Initial temperature of the metal (Temperature of the boiling water) Final Temperature of metal ( Highest temperature of the water achieves after the hot metal is placed in it. ) I. Water Mass of water in the Styrofoam cup Initial temperature of the water in the Styrofoam cup 52.67g 100 oC 31.2 oC 52.7 ml = 52.7 ml 23.1oC 31.2oC Final temperature of the water in the Styrofoam cup after the hot metal is placed in it. Conclusion: 1. a) The specific heat capacity of the water is 1.00 cal / g oC or 4.18 J / g oC Water requires 1 cal to raise 1 gram of it 1oC. b) The heat lost by the metal equals the heat gained by the water Heat lost = mass of metal ( temperature change of metal) specific heat capacity of metal = mass of water ( temperature change of water ) specific heat capacity of water = Heat gain QL = mmetal ( tinitial of metal – tfinal of metal ) Cmetal = mwater ( tfinal of water – tinitial of water) Cwater = QG mm ( tim – tfm ) Cm = mw ( tfw – tiw) Cw Cm Cm = mw ( tfw – tiw) Cw mm ( tim – tfm ) = 52.7g (30.1oC-23.1oC) ( 1cal / g oC) 52.67g (100oC-30.1oC) cm = .10 cal / g oC IV. Results Table: The following data can be used to determine the latent heat of fusion of ice. mass of Styrofoam cup = 10.26g mass of cup and room temperature water 77.24g initial temperature of the room temperature water 23.0oC equilibrium temperature of the water after the ice melts 4.5oC mass of calorimeter and water after the ice has melted. 91.86 g V. Conclusions: Q = m c (Tfinal-Tinitial) c= 4.180 J / goC of water c= 1 cal / goC 1. Determine the heat lost by the room temperature water in calories. Q = m c (Tfinal-Tinitial) = ( 77.24g – 10.26g)( 4.5oC-23.0oC) (1 cal / goC)= 791 cal = 7.9x102 cal 2. After the ice melts it is liquid water with a temperature of 0 oC and a specific heat of 1000cal/kgoC. or 4180 J / kgoC. This water gains energy until it reaches the equilibrium temperature. Determine the amount of heat gained by the ice ( water after it melts) in calories. Q = m c (Tfinal-Tinitial) = ( 85.86g – 77.24g)( 4.5oC-0.0oC) (1 cal / goC)= 39 cal 3. Using the principle of conservation of energy determine the amount of heat absorbed by the melting ice in cal and joules 7.9x102 cal – 39 cal = 751 cal = 7.5x102 cal 4. Determine the Latent Heat of Fusion of Ice in cal per g and J per kg Hf = 7.5 x102 cal = 87 cal/g 87cal( 4.18 J) ( 1000g ) = 3.6 x106 J ( 85.86g – 77.24g) g ( 1cal ) ( 1 kg ) IV Results: The following data can be used to determine the Latent Heat of Vaporization of water mass of cup=10.26g mass of cup and water=111.30g initial temperature of water(from graph)=32.6 oC initial time=101s final temperature of water(from graph)=64.8oC final time=298.5s time started boiling(from graph)=810s time stopped boiling=999s new mass of cup and water after boiling=98.60g V. Conclusion: a) What is the rate of heat transfer from the hot plate to the water? Rate = mass of water * factor to change g to Kg * temperature change * specific heat capacity time needed cause temperature change Rate = (111.30g -10.26g)*(1kg/1000g)*( 64.8oC -32.6 oC)*(4180 J / kg oC) = 68.9 J / s (298.5s –101s) b) How many joules were needed to boil the water? Heat to vaporize = time boiling * rate of heat transfer Heat = (999s -810s)*(68.9 J/s) = 13,022 J or 1.30x104J c) What is the heat of vaporization of the water in J/kg? Heat of Vaporization = Heat / kg = Heat needed to boil divided by mass vaporized converted from grams to kilograms 1.30x104 J = 1,023,622 J / kg = 1.02 x106J / Kg [(111.30g –98.60g)*( 1 kg / 1000g)] II. Results: The following data can be used to determine the number of calories released per gram of peanut. Mass of peanut = .42 g Mass of Al can = 22.16 g Mass of Al can and water = 74.56 g Initial temp of Al can and water 23.10C Final temp of Al can and water 41.20C cwater= 1.0 cal/g oC cAl= .21 cal/g oC 1000 cal = 1 kcal 1000 J = 1 kJ 1 cal = 4.18 J 1000 g = 1kg III. Calculations / Conclusions Heat released by nut Q= (74.56g-22.16g) ( 1.0 cal/g oC) ( 41.20C_ 23.10C)= 948 cal Q= (74.56g-22.16g) ( .21cal/g oC) ( 41.20C_ 23.10C)= 199 cal Q= 1147 cal = 1.15x103 cal 2. Heat released in cal per gram of peanut 1.15x103 cal = 2738 cal = 2.74 x103 cal .42 g g g 3. Heat released in kcal per gram 2.74 x103 cal ( 1 kcal ) = 2.74 kcal g (1000cal) g 4. Heat released in J per gram 2.74 x103 cal ( 4.18 J ) = 11,543 J =1.15x104 J g (1 cal) g g 5. Heat released in KJ per gram 1.15x104 J g ( 1 kJ) = 11.5 KJ (1000J) g Big Alka-Seltzer Results: The following can be used to determine the number of calories per gram absorbed from the reaction of citric acid and sodium hydrogen carbonate Mass of cup = 10.62g Mass of cup + citric acid = 20.63g Mass of cup , water and citric acid =70.54g Initial temperature of mixture =23.1oC Mass of sodium hydrogen carbonate=10.02g Final temperature of mixture =5.2oC Specific heat capacity of water = 1.0 cal / g oC 1 Cal = 1 kcal = 1000 cal 1 cal = 4.18 J 1 kJ = 1000 J IV. Calculations / Conclusions 1. The heat was absorbed by the reaction from the water, The amount of energy absorbed by the reaction from the water substance is dependent on its specific heat capacity, its mass, and its temperature change. Heat absorbed = specific heat capacity of water * mass of water* temperature change Q = [(1 cal / g oC)*( 70.54 g -20.63 g )*(23.1 oC -5.2oC)] = 893 cal = 8.9 x102 cal 2. Determine the number of calories per gram reacted. 8.9 x102 cal = 44 cal [(20.63g-10.62g)+10.02g] g 3. Convert the number of calories per gram to Calories or kcal per gram. 44 cal ( 1 kcal ) = .044 kcal g 1000 cal g 4. Convert the number of cal per gram to J per gram. 44 cal ( 4.18 J ) = 184 J = 1.8 x102 J (1 cal ) g 5. Convert the number of cal per gram to KJ per gram 1.8x102J ( 1 kJ ) = .18 KJ (1000J)