11_LAB_113

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Apr 3, 2024

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Determining Enthalpy of Strong Acid and Base Reactions Introduction The purpose of this experiment is to determine the heat of acid base reactions in order to determine enthalpy for a reaction through measurements of the change in temperature and heat capacity of the solution. Chemical reactions always involve the exchange of energy and in this experiment, the focus will be on heat energy. It is quite difficult to measure this heat energy so the experimenter will be tasked with determining enthalpy by measuring heat change in different reactions (French, et al. 60). A calorimeter is an insulated device that measures heat changes in a chemical reaction while minimizing heat loss to the surroundings (French, et al. 60). In this experiment, a Styrofoam cup will be inserted into a beaker to provide insulation and stability (French, et al. 60). Once this has been set up, the procedure will be performed on cold and hot water to determine the heat lost to the calorimeter through the following relationship 1: q cal = –q hw – q cw (French, et al. 60). To determine the quantities of the variables within the equation, there are a few equations that will be noted. For calculating the individual terms in the previous equation, the relationship 2: q = ms Δ T will be applied to situations in which varying masses of a substance are unknown and the specific heat, s , has been determined (French, et al. 61). The equation 3: q = C Δ T will be applied to situations in which there is a fixed mass, m, such as a calorimeter and the heat capacity, C , will be determined through experimentation (French, et al. 61). According to French, et al. “formulas 1 and 3 will be inserted into equation 2 to derive the equation 4: C cal Δ T cal = –(m cw ) (s water )( Δ T cw ) – (m hw )(s water )( Δ T hw ) where
ΔT cal = change in temperature of the calorimeter (equals Δ T cw because they both start and end at the same temperature) m cw = mass of the cold water s water = specific heat of water ΔT cw = change in temperature of the cold water m hw = mass of the hot water ΔT hw = change in temperature of the hot water which can be further expanded to generate the relationship 5: C ca l (T f – T i, cw ) = –(m cw )(s water ) (T f T i, cw ) – (m hw )(s water ) (T f – T i, hw ).” Since equation 4 and 5 are derived from the previous equations, they are useful in the experiment because of the role of equation 5 in determining the enthalpy for the reaction. “The result of this equation provides the experimental value for C cal which will be used in further equations to determine the heat of the entire reaction” (French, et al. 62). Calorimeters are not perfect in the way they function which results in heat being lost to the surroundings as discussed earlier. Due to this fact, heat that is gained and lost in a reaction will be absorbed by the solution or the calorimeter (French, et al. 62). However, it is possible to determine the heat of a reaction through calculation of the heat of the solution and calorimeter which was determined in equation 1 and 3. According to French, et al. “this can be used to form the equation 6: q rxn = -q soln – q cal which can be further expanded into equation 7 q rxn = –m soln sΔT – C cal ΔT where m soln is the total mass of the combined solution s is the specific heat of the water ΔT is the change of temperature of the solution and the calorimeter during the reaction.”
In these equations, it must be noted that the initial temperatures of the calorimeter and solution are identical because they both started at room temperature, and this also goes for the final temperature reached by the solution (French, et al. 62). In equation 7, the enthalpy equation is presented which is determined in kJ/mole: ΔH = q n and the q is the heat change of the reaction obtained in reaction 7 and n as the number of moles in the limiting reagent (French, et al. 62). These values determined in the experiment will be compared to accepted enthalpy values of a substance (French, et al. 62). For the reactions that will be performed in this experience, a series of balanced equations will be provided. In experiment 1, hydrochloric acid and sodium hydroxide will be mixed in the following reaction: HCl (aq) + NaOH (aq) NaCl (aq)+H 2 O(l). In experiment 2, sodium hydroxide and ammonium chloride will be mixed in the reaction: NaOH (aq) + NH 4 Cl (aq) H2O (l) + NaCl (aq) + NH 3 (aq). Lastly, the reaction between hydrochloric acid and ammonia: HCl (aq) +1NH 3 (aq) NH 4 Cl (aq). List of Materials Taken from (French, et al. 63). temperature probe Styrofoam cup calorimeter 250 mL beaker 50 mL graduated cylinder glass stirring rod
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2.0 M hydrochloric acid solution (HCl) 2.0 M sodium hydroxide solution (NaOH) 2.0 M ammonium chloride solution (NH 4 Cl) 2.0 M ammonium hydroxide solution (NH 4 OH) Aqueous Ammonia ring stand iron clamp cardboard square beakers, assorted sizes Procedure Procedure was adapted from French, et al. 1. Turn on the temperature probe, go to the main menu and select function to use the probe for temperature vs time. 2. Calibrate the temperature probe to room temperature. 3. Fill the graduated cylinder with 25ml of cold water and pour into the Styrofoam cup calorimeter. 4. Cover calorimeter with cardboard square and place the measurement probe into the cold water and record the initial temperature. 5. Fill the graduated cylinder with 25 ml of hot water. 6. Turn on the measurement probe to start recording data (display then start/stop) 7. Pour the hot water into the Styrofoam cup calorimeter and cover with cardboard square
8. Record final temperature and turn off the data collection once the curve has flatlined. 9. Save file as “010” 10. Repeat steps 1-8 with aqueous solutions making sure to always add 25ml of base to the 25 ml of acid. a. Reaction 1 is an aqueous solution of base: sodium hydroxide (NaOH) and hydrochloric acid (HCl). Save measurement file as “001.” b. Reaction 2 is an aqueous solution of ammonium chloride (NH 4 Cl) and sodium hydroxide (NaOH). Save measurement file as “002” c. Reaction 3 is an aqueous solution of hydrochloric acid (HCl) and ammonia (NH 3 ). Save measurement file as “003” Discussion The purpose of this experiment is to determine enthalpy of a reaction by measuring the change in heat of acid base reactions. The summary of the temperature results will be presented as followed: In the cold and hot water reaction, the initial and final temperature were 27.365° (±.0146) and 32.39° (±.888) respectively; in reaction 1, the initial and final temperature were 22.378° (±.06) and 33.796° (±.01); in reaction 2, the initial and final temperature were 23.002° (±.02) and 24.091° (±.007); in reaction 3, the initial and final temperature were 23.788° (±.012) and 30.697° (±.05). The density of water as well as each of the acids and bases is 1.00 g/ml and 1.03 g/ml respectively. Using the mass and temperature of the hot and cold water, as well as the change in temperature for the calorimeter, the energy was calculated for each of those entities. From there,
the heat capacity of the calorimeter was determined to be 10.096 J/C°. For reaction one, the enthalpy was determined to be -51.4646 kJ/mole (7.77%) with the actual value being -55.8 kJ/mole. For reaction 2, the enthalpy was determined to be -4.9084 kJ/mole (-75.92%) with the actual value being -2.79 kJ/mole. For reaction 3, the enthalpy was determined to be -31.14 kJ/mole through data collection and -46.55 kJ/mole through Hess’s Law while the actual value was -53.01. The respective percent errors for the data collection and Hess’s Law enthalpy for experiment 3 are 41.356% and 12.335%. The experimental results support the hypothesis through providing the basis for which enthalpy can be calculated as the heat change for the reaction was determined through experimentation. Although the percent error was quite high on experiment 3 and the experimental enthalpy was higher than the accepted enthalpy for experiment 2, the enthalpy was able to be determined through observation of heat change. Possible sources of error include not maintaining the probe in the solution while the reactants are mixed, this would cause the temperature to increase if no reactant has been added to the calorimeter solution and decrease if the entirety of the solution is within the calorimeter. Another source of error is inaccuracy with the graduated cylinder, it is entirely possible that a student measured more or less than 25ml, but this could be prevented by using a smaller graduated cylinder and pouring the contents in the 25ml graduated cylinder. Another possible source of error is the loss of heat to the surroundings. This could be mitigated by providing more insulation to the calorimeter and securing the cardboard square. Conclusion
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In “Determining Enthalpy of Strong Acid and Base Reactions,” I learned more about how to use a calorimeter to measure heat change between two substances and how to use this to determine the enthalpy for the overall solution. An example of where enthalpy is illustrated in real life is the situation with the fridge one might have at home. The temperature of your food is entirely dependent on the enthalpy of vaporization. Regarding the experiment, the only suggestion I have is finding a way to insulate the calorimeter more because I feel as if the current method allows for significant heat loss through the cardboard square on the top. Works Cited French, April, et al (Department of Chemistry, University of Kentucky). “Enthalpy of Reaction.” Macmillan Learning Curriculum Solutions: Plymouth, MI, 2020; p. 59-64. Web. Accessed September 21, 2021.