Heats of Reaction Lab

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Feb 20, 2024

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Heats of Reaction Lab Ella Raisley Chemistry 141-13 Dalton Compton April 10, 2020 Introduction: The purpose of the Heats of Reaction lab was to observe how heat transfers to water from various objects. This was done so the experimenter could know how heat transfers between objects and how many calories are in a gram of different food types. This was done by using a bomb calorimeter, various food samples, water, and online simulations. This is important in everyday life because this is how the number of calories are determined in food. Procedure & Observations: In this lab the equipment that was used was a bomb calorimeter, samples of Skittles, M&Ms, marshmallows, and Doritos, water, and an online simulator. In the first part of the lab heat transfer was observed between hot and cold water. There was 25.77g of water with a temperature of 11.24ºC. There was also 25.24g of water with a temperature of 74.88ºC. The water was then mixed together, and the new temperature was recorded. Then the experimenter then calculated the T of both hot and cold water. Then the heat gained by the cold water and the heat lost by the hot water were calculated in Joules. In the second part of the experiment, the experimenter predicted which sample would have the largest amount of calories/gram in descending order. The food samples were then put into a bomb calorimeter with 600g of water. Each type of food was put into the bomb calorimeter separately. The mass in grams, the number of pieces of each sample, the initial water
temperature, and the final water temperature were all recorded. Then the researcher then calculated the calories/gram for each sample with the equation q=m TC. Data: This data was from the first part of the lab. It shows the different masses and temperatures for hot and cold water. It also shows the final temperature for when the water was mixed together, as well as the change in temperature for hot and cold water. Cold water mass (g) 25.77g Cold water initial temp (ºC) 11.24ºC Hot water mass (g) 25.24g Hot water initial temp (ºC) 74.88ºC Final temperature for mixture (ºC) 42.74ºC T for cold water (ºC) 31.5ºC T for hot water (ºC) -32.14ºC (Table 1: Change in temperature for hot/cold water, mass of hot/cold water, T for hot/cold water.)
This data was from part two of the lab. The table below shows the food samples, the number of pieces in each sample, the mass in grams of each sample, the final water temperature, the initial water temperature, and the water mass in grams. Sample Water Mass (g) Mass of Sample (g) Pieces Final Water Temp (ºC) Initial Water Temp (g) M&Ms 600g 1.830g 2 37.02ºC 21.74ºC 600g 2.724g 3 42.14ºC 19.21ºC Skittles 600g 1.100g 1 28.95ºC 21.48ºC 600g 2.200g 2 39.44ºC 24.49ºC Marshmallows 600g 6.030g 2 51.93ºC 19.96ºC 600g 3.015g 1 34.10ºC 18.12ºC Doritos 600g 1.753g 1 32.88ºC 18.45ºC 600g 3.506g 2 49.81ºC 20.97ºC (Table 2: data from part two of the experiment.) The data below is from the data analysis section, which is stemmed from the second part of the lab. It shows the number of calories per gram for each food sample, as well as their individual ranking of number of calories per gram. Food Sample Calories/gram (cal/g) Ranking of highest number of calories per gram Skittles 7.47 cal/g 4 M&Ms 15.28 cal/g 2 Marshmallows 31.97 cal/g 1 Doritos 14.43 cal/g 3 (Table 3: Types of food samples and their number of calories per gram.)
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Data Analysis & Calculations: In the first section of the lab there were two calculations that were used. •Temperature difference equation: T= T final -T initial (1a) Hot water: T= 42.74ºC-74.88ºC T= -32.14ºC Cold water: T= 42.74ºC-11.24ºC T= 31.50ºC •Heat energy equation: q= T•m•C (1b) Hot water: q=-32.14•25.24•4.184 q=-3394.12 Joules Cold water: q=31.5•25.77•4.184 q=3396.38 Joules Both calculations were important because it shows that the heat loss and gain were almost equal to each other, which is what the experimenter expected. In the second section of the experiment there were no calculations performed, there were only observations recorded. In the data analysis section of the experiment the temperature difference equation and the heat energy equation were used again. There was also a new equation used as well, it was used to find the calories per gram of different food samples. •Temperature difference equation: T= T final -T initial (1a) Skittles: T=28.95ºC-21.48ºC T=7.47ºC
M&Ms: T=37.02ºC-21.74ºC T=15.28ºC Marshmallows: T=51.93ºC-19.96ºC T=31.97ºC Doritos: T=32.88ºC-18.45ºC T=14.43ºC •Heat energy equation: q= T•m•C (1b) Skittles: q=(7.47ºC)(1.1g)(1.00 cal/g•ºC) q=8.217 Joules M&Ms: q=(15.28ºC)(1.83)(1.00cal/g•ºC) q= 27.26 Joules Marshmallows: q=(31.97ºC)(6.03)(1.00cal/g•ºC) q=192.78 Joules Doritos: q=(14.43ºC)(1.753)(1.00cal/g•ºC) q= 25.30 Joules •Joules per gram equation: Joules/g= number of Joules massof sample ( g ) (2a) Skittles: Joules/g= 8.217 Joules 1.1 g =7.47 Joules/g M&Ms: Joules/g= 27.96 Joules 1.83 g =15.28 Joules/g Marshmallows: Joules/g= 192.78 Joules 6.03 g
=31.97 Joules/g Doritos: Joules/g= 25.30 Joules 1.753 g =14.43 Joules/g •1 Calorie= 4.184 Joules (2b) Skittles: 7.47 Joules 1 gram 1 C alorie 4.184 Joules =1.79 Cal/gram M&Ms: 15.28 Joules 1 gram 1 C alorie 4.184 Joules =3.65 Cal/gram Marshmallow: 31.97 Joules 1 gram 1 C alorie 4.184 Joules =7.64 Cal/gram Doritos: 14.43 Joules 1 gram 1 C alorie 4.184 Joules =3.45 Cal/gram After the experimenter found the number of calories per gram, they could now correctly rank the food samples. The order went: marshmallows, M&Ms, Doritos, and Skittles. These results were not what the experimenter expected. The experimenter based the calories per gram off of the density of the sample and the number of sugar/additives in the sample. Conclusion: The purpose of this experiment was to observe how heat transfers to water from various objects. This was done so the experimenter could know how heat transfers between objects and how many calories are in a gram of different food types. This was achieved due to the fact that
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by the end of the experiment the experimenter was able to know how heat transfers and how to find how many calories there are per gram of certain food types. In the first part of the experiment, the experimenter observed the heat transfer between hot and cold water. This process was corrected because the final heat of the water when they were mixed together was between the initial temperature of the cold water and the hot water. Another piece of evidence that supports that is that the heat lost, and heat gained was almost equal to each other. The T for cold water was 31.5ºC and the T for the hot water was -32.14ºC. Though one is negative and the other is positive the amount of heat lost and gained is almost equal, which it should be. In the second section of the experiment, the known value for Skittles is 4.05 cal/gram, for M&Ms is 5 cal/gram, for marshmallows its 3.21 cal/gram, and for Doritos it’s 5.36 cal/gram. The possible sources of error could have been from the types or brands of each sample that were used in the experiment versus the ones found online. If this experiment was done again, the experimenter should know which brand and type of each food sample they are observing. For example, there are many types of Doritos like nacho cheese, cool ranch, and poppin’ jalapeño. If ethanol was used in this experiment instead of water, the change in temperature, also known as T, would have been roughly half. The heat of water is 1.00cal/g•ºC and the heat of ethanol is .588cal/g•ºC. Also, bomb calorimeters are no longer used in order to mind the number of calories in food types. Now food manufacturers use the Atwater system. This system the number of calories is determined by adding up the calories provided by fat, carbohydrate, protein, and alcohol. But carbohydrates contain some fiber which is not digested by the human body. So- the amount of
fiber is subtracted from the amount of carbohydrates and then the carbohydrate amount is used in the calculation to find the over number of calories in a food. Citations: “‘M&M's’ Milk Chocolate Candies M&M Mars Candies.”   Calories in 1 g of "M&M's" Milk Chocolate Candies M&M Mars Candies and Nutrition Facts , www.fatsecret.com/calories- nutrition/usda/mandms-milk-chocolate-candies-mandm-mars-candies? portionid=62139&portionamount=0. Frey, Malia. “Is There Anything Healthy About a Marshmallow?”   Verywell Fit , Verywell Fit, 9 Oct. 2019 , www.verywellfit.com/marshmallow-nutrition-facts-calories-carbs-and-health- benefits-4178459 . “Nacho Cheese Tortilla Chips (28g).”   Calories in Doritos Nacho Cheese Tortilla Chips (28g) and Nutrition Facts , www.fatsecret.com/calories-nutrition/doritos/nacho-cheese-tortilla-chips- (28g). “Skittles.”   Calories in 100 g of Skittles and Nutrition Facts , www.fatsecret.com/calories- nutrition/generic/skittles?portionid=55991&portionamount=100.000. Contributors, HowStuffWorks.com. “What Are Calories? How Are They Measured in Food?”   HowStuffWorks , HowStuffWorks, 2 July 2001, recipes.howstuffworks.com/question670.htm. “How Do Food Manufacturers Calculate the Calorie Count of Packaged Foods?”   Scientific American , Scientific American, 31 July 2006, www.scientificamerican.com/article/how-do-food- manufacturers/.