Fundamentals of Calorimetry Lab Report Dr Z Edits

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Feb 20, 2024

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  The Fundamentals of Calorimetry Date: 11/10/2023     Data Table 1A Time (min) Trial 1 Temp. °C Trial 2 Temp. °C 1  42 °C  45 °C 2  41 °C  44 °C 3  40.5 °C 43.5 °C 4  40 °C 42.5 °C 5  39.5 °C 42 °C 6  39 °C 41.5 °C 7  38.5 °C  41 °C 8  38 °C  40 °C 9  37.5 °C  40 °C 10 37  °C 39 °C   Question 1: Create a spreadsheet and graph of the data from Data Table 1A, plotting Temperature vs. Time. Insert a trendline: Data Table 1B: Calculation #   Trial 1 Trial 2 Mass of cold water 50 g 50 g Initial temperature of cold water = T cold (°C) 15 °C 16 °C Initial temperature of warm water = T hot (°C) 77 °C 78 °C Temperature at time 0 from graph, T 0 , (°C) 42.2 °C 45.333 °C 2 Change in Temp Cold Water ( ΔT Cold = T 0 - T cold ) 27.2 °C 29.333 °C 3 Change in Temp Hot Water ( ΔT Hot = T 0 - T Hot ) -34.8 °C -32.667 °C 4 Change in q Cold Water (final unit should be J) ∆q (cold water) = C water x ΔT Cold x mass of water 5,684.80 J 6,130.597 J 5 Change in q Hot Water (J) ∆q (hot water) = C water x ΔT Hot x mass of water -7,272.20 J -6,827.403 J 6 Heat (Energy) gained by the Calorimeter (final unit should be J) 1,588.40 J 696.806 J ©2016 2 Carolina Biological Supply Company
∆q cal = | ∆q (cold water) + ∆q (hot water) | **∆q cal should be a positive value** 7 Heat capacity of calorimeter C calorimeter (final unit should be J/°C) ∆q cal = C calorimeter x |ΔT Cold | 58.40 J/°C 23.76 J/°C 8 Average Heat Capacity of Calorimeter, ( C AVE ) in J/°C 41.08 J/°C Work: ©2016 2 Carolina Biological Supply Company
Data Table 2a: For C w use 4.18 J/g∙ Calculation #     5g CaCl 2   10g  CaCl 2   15g  CaCl 2   Mass of water (g) m w     100 g    100 g    100 g Mass of salt (g)  m s    5.01 g    10.07 g    15.08 g 9 Moles of salt solution ( m s x mol/g)     .045 moles of CaCl2    .091 moles of CaCl2    .136 moles of CaCl2 Initial Temperature,  T i   (°C)     17 °C    17 °C  16.5 °C   Final Temperature,  T f (°C)    22 °C      30 °C    40 °C 10 Change in Temperature (°C)    ∆T  = T f  - T i    5 °C      13 °C  23.5 °C   11 Heat absorbed by the solution (J)  q w  = - [c w  x m w  x ∆T -2090 J    -5434 J     -9823 J 8 Average Heat Capacity of the Calorimeter,   C AVE . From Data Table 1B   41.08 J/°C 41.08 J/°C 41.08 J/°C 12 Heat absorbed by the calorimeter (J)  q c  =  - [ C AVE  x  ∆T  -205.4 J      -534.04 J  -965.38 J   13 Enthalpy of solution (J)  ∆H =  q w  +  q c      -2295.4 J  -5968.04 J    -10788.38 J   14 ∆H ( Enthalpy of solution) in kJ  *Note: 1 kJ = 1000 J     -2.2954 kJ    -5.968045 kJ    -10.78838 kJ 15 ∆H/moles of salt  Enthalpy per mole of solution in kJ/mol    -51.01 kJ/mol CaCl2  -65.58 kJ/mol CaCl2      -79.33 kJ/mol Cacl2 ©2016 2 Carolina Biological Supply Company
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  CaCl 2  Work: ©2016 2 Carolina Biological Supply Company
Data Table 2b: Calculation #     5g  NH 4 Cl  10g  NH 4 Cl  15g  NH 4 Cl  Mass of water (g) m w      100 g    100 g    100 g Mass of salt (g)  m s    5.01 g    10.02 g    15.06 g 16 Moles of salt solution ( m s x mol/g)     .094 moles of NH4Cl    .187 moles of NH4Cl    .282 moles of NH4Cl Initial Temperature,  T i   (°C)     17    26    20 Final Temperature,  T f (°C)      9  19    9.5   17 Change in Temperature (°C)    ∆T  = T f  - T i      -8  -7    -10.5   18 Heat absorbed by the solution (J)  q w  = - [c w  x m w  x ∆T    3344 J    2926 J  4389 J   8 Average Heat Capacity of the Calorimeter,  C AVE . From Data Table 1B   41.08 J/°C 41.08 J/°C 41.08 J/°C ©2016 2 Carolina Biological Supply Company
19 Heat absorbed by the calorimeter (J)  q c  =  - [ C AVE  x  ∆T   -328.64 J  -287.56 J    -431.34 J 20 Enthalpy of solution (J)  ∆H =  q w  +  q c    3015.36 J    2638.44 J    3957.66 J   21 ∆H ( Enthalpy of solution) in kJ  *Note: 1 kJ = 1000 J     3.01536 kJ    2.63844 kJ    3.95766 kJ 22 ∆H/moles of salt  Enthalpy per mole of solution in kJ/mol    32.08 kJ/mol NH4Cl    14.11 kJ/mol NH4Cl    14.03 kJ/mol NH4Cl NH 4 Cl Work: ©2016 2 Carolina Biological Supply Company
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Question 2: Create a spreadsheet and graph for CaCl 2  and NH 4 Cl, using the data from Data Table 2a and b. Plot mass on the X axis and change in temperature on the Y axis for both graphs. The slope will be the change in temperature per gram of salt dissolved. Insert a trendline and display the equation on the graph. Include your name and date in the titles. Insert graphs below the Data Tables 3 and 4.  Data Table 3 Mass CaCl 2   ∆T   5.01 g  5 °C  10.07 g  13 °C  15.08 g  23.5 °C  Data Table 4 ©2016 2 Carolina Biological Supply Company
Mass NH 4 Cl  ∆T   5.01 g  -8 °C  10.02 g  -7 °C  15.06 g  -10.05 °C   Copy and Paste Question 2 graph(s) here : ©2016 2 Carolina Biological Supply Company
Question 3: What sort of relationship exists between the temperature change and the mass of the solid? Explain why that relationship exists. Hint: See your lab manual Background. I learned from our lab manual this week that enthalpy is dependent on the amount of substance present, and that heat or heat energy measures the amount of energy a sample contains (2015). Additionally, heat energy is an extensive property that is dependent on mass (2015). For example, even if a gallon and a drop of heated water both have a temperature of 100 °C, the gallon has a much higher heat energy simply because there is more of it (2015).   Question 4: How do the calculated molar heats (∆H/moles of salt) of solution for calcium chloride compare to one another? How do the calculated molar heats of solution for ammonium chloride compare to one another? Hint: Compare the values of the determined Enthalpy/mole of solution for each compound at the different masses. Are they similar? How similar? Did the values you determine differ a lot? A little? Include numerical information in your response. Even though the masses of CaCl2 varied substantially during each trial, ranging from 5.01 grams of CaCl2 to 10.07 grams of CaCl2, the molar heats of solution for calcium chloride were relatively similar. The molar heat at the mass of 5.01 grams for CaCl2 was -51.01 kJ/mol CaCl2, the molar heat at the mass of 10.07 grams CaCl2 was -65.59 kJ/mol CaCl2, and the heaviest mass of 15.08 grams of CaCl2 was -79.33 kJ/mol CaCl2. Each of the molar masses of CaCl2 increased by approximately 14 kJ/mol (give or take a little) with each weight increase. As for NH4Cl, the kJ/mol moved in the opposite direction and became smaller as the amount of NH4Cl increased. At 5.01 grams of NH4Cl, the calculated molar heat of solution for ammonium chloride was 32.08 kJ/mol NH4Cl, whereas at 10.02 grams and 15.06 grams of NH4Cl, the corresponding calculated molar heats were 14.11 kJ/mol NH4Cl and 14.03 kJ/mol NH4Cl. I was somewhat surprised by the results of the NH4Cl calculated molar heats, since the heavier masses (10.02 grams and 15.06 grams of NH4Cl) had very similar calculated molar masses (14.11 kJ/mol NH4Cl and 14.03 kJ/mol NH4Cl), but the lightest mass, 5.01 grams of NH4Cl, differed significantly with a calculated molar mass of 32.08 kJ/mol NH4Cl. This could be due to human error on my part, or be attributed to using a different bottle of water (with a slightly warmer base temperature) for the trials conducted with larger amounts of NH4Cl. Question 5: The actual molar enthalpy of solution (∆H/moles of salt) for calcium chloride is -81.3 kJ/mol, whereas the molar enthalpy of solution of ammonium chloride is 14.8 kJ/mol. Calculate the average molar enthalpy of solution for each compound based on your data, and then calculate the percentage error for calcium chloride and ammonium chloride using your calculated average.  Do not calculate the percent error for each mass. 1.) Average molar enthalpy of solution for ammonium chloride: 20.07 kJ/mol NH4Cl 2.) Average molar enthalpy of solution for calcium chloride: -65.31 kJ/mol CaCl2 ©2016 2 Carolina Biological Supply Company
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3.) Percent Error for ammonium chloride: 26.26% 4.) Percent Error for calcium chloride: -24.48%   Work:   Activity 4      Question 6: Based on the data and graphs from question 2 for calcium chloride and ammonium chloride, determine which compound to use and what quantity of each compound will be needed to make a chemical hot pack and cold pack. Hint: You need to use the equations of the lines. Both packs should be calculated based on using 100 g (100 mL) of water. The hot pack should reach 60 °C, and the cold pack should go down to 3.0 °C from a room temperature of 25 °C.    Hot Pack: Compound needed to reach 60 °C?  CaCl2 How many grams are needed?   21.58 grams CaCl2   Cold Pack: Compound needed to reach 3.0 °C?  Na4Cl How many grams are needed?  76.81 grams ©2016 2 Carolina Biological Supply Company
Work:   Question 7: What were some potential sources of error in this investigation?  Since I was worried that the “room temperature” water I was using for my trials was going to be too cold since it had been refrigerated a few hours before the lab activities took place, I heated the water temperature (slightly) by placing it in the microwave for 10 seconds and in hindsight have contemplated whether or not that interfered with some of my results, specifically for the NH4Cl trials. I think controlling for certain variables such as temperature (ensuring each starting temperature was the same throughout) and improving measuring accuracy to be as precise as possible (for the ingredient amounts and temperature recordings) would help to reduce error throughout these lab activities.     Question 8: Suggest some ways in which the calorimeter or lab protocol could be improved to have lower percentage of errors.  A few ways in which the lab might be improved would be to offer pre-measured amounts of each compound to minimize errors and also to require the exact same amount and temperature of water to be used in the calorimeter across each phase of the lab to ensure consistency and accuracy. An additional way to possibly improve the reliability of the calorimeter itself could be to swap the Styrofoam cup materials for copper, since copper is known to be a great material for calorimeters since it is a great heat conductor and also has a very low specific heat capacity (2020). References ©2016 2 Carolina Biological Supply Company
Carolina Biological Supply Company . (2015). CHM 101L M4 Fundamentals of Calorimetry Investigation Manual . Vedantu . (2020, July 21). Q + A . Vedantu. https://www.vedantu.com/question-answer/calorimeters-are- generally-made-up-of-acopper-class-11-physics-cbse-5f16e7f63242933b530b78a7 ©2016 2 Carolina Biological Supply Company
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