SummaryIn the presence of water, citric acid and sodium bicarbonate (aka baking soda) react to form sodium citrate, water, and carbon dioxide. Students investigate this endothermic reaction. They test a stoichiometric version of the reaction followed by testing various perturbations on the stoichiometric version in which each reactant (citric acid, sodium bicarbonate and water) is strategically doubled or halved to create a matrix of the effect on the reaction. By analyzing the test matrix data, they determine the optimum quantities to use in their own production companies to minimize material cost and maximize carbon dioxide production. They use their test data to "scale-up" the system from a quart-sized ziplock bag to a reaction tank equal to the volume of their classroom. They collect data on reaction temperature and carbon dioxide production. More advanced students are challenged to theoretically predict the results using stoichiometry. ** We are currently working on an important update for this activity. Please contact email@example.com for more information. **
The primary relationship to engineering featured in this activity is a demonstration of the relationships between bench scale and full scale. While the end goal may be to design a 50,000 gallon tank, the best path of discovery is to work with a smaller scale. The advantages of the smaller scale are that they 1) are less expensive and easier to operate and build, and 2) can be safer if anything unexpected happens because the surrounding environment can be controlled. The advantage of the large scale is that it directly reflects the true system, so no other testing is required in order to predict behavior.
The second engineering idea being illustrated through this activity is the engineer's responsibility to design systems that provide the maximum product with the least cost while remaining safe. For example, in this activity the reaction is endothermic and produces a gas. A poorly designed and sized tank has the potential to cause damage to people and property if the temperature decreases to a point at which the material fails. Additionally, if the tank is sized too small for the quantity of gas being produced, a tank explosion could cause catastrophic damage.
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within type by subtype, then by grade, etc.
Each TeachEngineering lesson or activity is correlated to one or more K-12 science, technology, engineering or math (STEM) educational standards.
All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN), a project of D2L (www.achievementstandards.org).
In the ASN, standards are hierarchically structured: first by source; e.g., by state; within source by type; e.g., science or mathematics; within type by subtype, then by grade, etc.
- Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). (Grades 9 - 12) Details... View more aligned curriculum... Give feedback on this alignment... Thanks for your feedback!
- Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. (Grades 9 - 12) Details... View more aligned curriculum... Give feedback on this alignment... Thanks for your feedback!
- Ethical considerations are important in the development, selection, and use of technologies. (Grades 9 - 12) Details... View more aligned curriculum... Give feedback on this alignment... Thanks for your feedback!
- Research and development is a specific problem-solving approach that is used intensively in business and industry to prepare devices and systems for the marketplace. (Grades 9 - 12) Details... View more aligned curriculum... Give feedback on this alignment... Thanks for your feedback!
- Construct and revise an explanation for the outcome of a simple chemical reaction based on the outermost electron states of atoms, trends in the periodic table, and knowledge of the patterns of chemical properties. (Grades 9 - 12) Details... View more aligned curriculum... Give feedback on this alignment... Thanks for your feedback!
Students should be familiar with:
- Math concepts: volumes, graphing data, measuring and unit conversion, and conservation of matter.
- Science concepts: mass, temperature measurements.
Alternatively, this activity could be used as a means of introducing these concepts. It is also an ideal opportunity to introduce the subject material of: reactions, stoichiometry, endothermic vs. exothermic reactions, mass and mole conversions, and the ideal gas law.
After this activity, students should be able to:
- Follow procedures to collect data while changing more than one variable.
- Create line graphs to represent the data.
- Interpret data to predict overall behavior of multiple variables.
- Describe how this activity applies engineering design principles, including cost analysis.
- Math competency: Skills and appreciation for data collection and analysis used in real life.
- Quantitative literacy: Ability to follow procedures and provide recommendations.
- Engineering applications: engineering design process to control products of a chemical reaction, cost considerations corresponding to performance.
- Cultural relevancy: How to follow procedures, collaborative work in small groups and hands-on activities.
Each group needs:
- 8 g citric acid (C6H8O7)
- 10.4 g sodium bicarbonate (baking soda)
- 40 ml water
- 2 quart-size ziplock bags
- thermometer (approximate range: 0-200 °F)
- syringe (approximate size 4 ml, for taking gas sample)
- tape measure
- colored tape to seal syringe
- safety glasses, pair per student
- Exposed Reaction Worksheet
To share with the entire class:
- (optional) use of GC for data analysis of CO2 production; the production of CO2 can also be estimated through calculations using the stoichiometric balance of the reaction equation
In the presence of water, citric acid [C6H8O7] and sodium bicarbonate [NaHCO3] (aka baking soda) react to form sodium citrate [Na3C6H5O7], water, and carbon dioxide [CO2].
To keep the workers safe, chemical engineers must control the reaction temperature and pressure so no explosions occur. So the manufacturing company makes a profit, engineers must produce the most carbon dioxide [CO2] using the least citric acid [C6H8O7].
In groups of two, your engineering challenge is to test the reaction in the lab before a large-scale operation plant is turned on. To keep the plant employees safe and so the plant earns a profit, you must determine:
- The temperature change that occurs during the reaction for various ratios of reactants.
- The quantity of CO2 produced from the reaction using the same reactant ratios.
products: All the materials formed through a reaction. Generally "what we end up with."
reactant: Starting materials for a reaction. Generally elementally rearranged during the reaction.
Background and Concepts for Teachers
- Discuss the chemicals that will be used in the reaction. Have students discuss the physical characteristics of each.
- Sodium bicarbonate (aka baking soda). Students may be familiar with baking soda from household baking and cleaning. Baking soda works as an antacid, but would taste very bad alone. Sodium bicarbonate is also used to fight fires because at high temperature it turns to carbon dioxide and can smother fires.
- Citric acid is a common ingredient in citrus-flavored foods. Have students look for it in the ingredient lists for candy and soda beverages.
- The reaction of sodium bicarbonate and water is very similar to the phenomena seen when Alka-Seltzer tablets are placed in a glass of water.
- Discuss what a reaction is and how one might observe that a reaction is occurring.
- Demonstrate mixing citric acid + sodium bicarbonate. (Is a reaction occurring?)
- Demonstrate adding water to the mixture? (Is a reaction occurring?)
- Relevance: acid + base = water + gas + salt (the product is neutral). Example applications: 1) Ant-acids neutralize stomach acid. 2) Bases used for reclaiming land used during mining (the water is very acidic and needs to be treated to be neutralized). 3) Acids and bases used to promote plant growth. Neutralizing acidic or basic soil to promote plant growth.
- Discuss the connections to engineering.
- Safety aspect: over pressure or extreme temperature can cause catastrophic failure.
- Profit aspect: using less citric acid to produce more carbon dioxide. (Is it possible?)
- Overview of the experimental plan over the three days.
- Background: It is recommended to divide the class into four groups so each "engineering team" performs a different reactant ratio on Day 2. This way, the entire matrix can be tested without all students needing to perform five sets of experiments. Suggested tests:
On Day 1: Everyone: 2.6 g citric acid + 2.6 g sodium bicarbonate
On Day 2:
- Group A: 1g citric acid + 2.6 g sodium bicarbonate
- Group B: 4 g citric acid + 5.2 g sodium bicarbonate
- Group C: 2 g citric acid + 5.2 g sodium bicarbonate
- Group D: 6 g citric acid + 7.8 g sodium bicarbonate
- Before the Activity
- Collect the required reactants.
- Gather the remaining items on the Materials List.
- Make copies of the Exposed Reaction Worksheet, one per team, which includes the procedures.
- On the classroom board or overhead projector, prepare a large data table for all students to record their findings (from Day 2). Make it visible for the entire class and suitable to serve as a visual aid in the discussions at the end of Day 2.
- With the Students
Day 1: Experimental Methods
- Present the introduction content, as described above.
- Divide the class into groups of two students each.
- Review the test procedures and how to use the given materials.
Day 2: Data Collection
- Student groups conduct the same reaction using different assigned quantities of reactants.
- Students collect, label and seal gas samples.
Day 3: Data Analysis, Discussion & Scale-up
- Provide gas analysis results.
- Calculate cost of reactants vs. profit from products.
- Scale-up activity.
- Remind students not to drink any chemicals, even those labeled water or soda, because contamination is always possible, especially in chemical laboratory settings.
- Have students wear safety goggles at all times.
Review students' completed Exposed Reaction Worksheets to gauge their depth of comprehension.
Optional post-activity assessment: student reflection by class discussion or written assignment.
For more advanced students, challenge them to first calculate how much CO2 should be produced theoretically in each reaction using stoichiometry, before actually doing the experiment. As a bonus question, ask students: Is there any way to calculate theoretically how much carbonic acid should be produced in each experiment? At the end of the experiment, have students compare their theoretical to actual answers. Ask them to explain why their experimental results will probably never be the same as theoretical results. (Possible answers: Perhaps not all CO2 produced will be collected; perhaps not all of the limiting reactant will react to produce the theoretical product quantities.) Refer to the Theoretical Results Using Stoichiometry Solution Guide .
Copyright© 2013 by Regents of the University of Colorado; original © 2009 Board of Regents, Washington State University
Supporting ProgramCREAM GK-12 Program, Engineering Education Research Center, College of Engineering and Architecture, Washington State University
This content was developed by the Culturally Relevant Engineering Application in Mathematics (CREAM) Program in the Engineering Education Research Center, College of Engineering and Architecture at Washington State University under National Science Foundation GK-12 grant no. DGE 0538652. However, these contents do not necessarily represent the policies of the NSF, and you should not assume endorsement by the federal government.