Modeling Neutralizing Reactions in Chemistry
Sour Chemistry: Modeling a
neutralizing reaction
Gastric Chemistry
pH range 0-14
•
pH < 7 is acid
•
pH = 7 is neutral
•
pH > 7 is base/alkaline
Normal stomach pH 5.0-6.0
Digestion 3.0-5.0
Conduct neutralizing
reaction
•
Begin with acid ~ 3.0
•
Add antacid tablet
•
Describe graph of pH
versus time
Exponential Function Family
1.
Go to
www.desmos.com
2.
Launch calculator
3.
Enter y = a b^x
4.
Play around with sliders
The family of exponential
functions
y = a b
x
Common family traits
1.
Domain all real numbers
2.
Rapid growth/decay
3.
Horizontal asymptote
The model for our neutralizing reaction
•
Discuss why these two models are equivalent.
•
Why would someone prefer the 2
nd
model?
Let’s collect some data
Questions for further
discussion/exploration
1.
How does the value of B affect the shape of the
modeling curve?
2.
How would adding more drops of lemon juice to the
starting solution affect the resulting plot of pH versus
time? Which of the parameters A, B and C in the
model expression would change?
3.
How would adding two antacid tablets (instead of
one) to the starting solution affect the resulting plot
of pH versus time? Which of the parameters A, B and
C in the model expression would change?
4.
How do you expect the model to change if you use an
Extra Strength tablet?
World of neutralizing reactions with a focus on gastric chemistry and exponential functions. Discover the effects of pH, antacids, and parameter changes on reaction modeling. Dive into data collection and discussions for further exploration.
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Presentation Transcript
Sour Chemistry: Modeling a neutralizing reaction
Gastric Chemistry pH range 0-14 pH < 7 is acid pH = 7 is neutral pH > 7 is base/alkaline Normal stomach pH 5.0-6.0 Digestion 3.0-5.0 Conduct neutralizing reaction Begin with acid ~ 3.0 Add antacid tablet Describe graph of pH versus time
Exponential Function Family 1. Go to www.desmos.com 2. Launch calculator 3. Enter y = a b^x 4. Play around with sliders
The family of exponential functions y = a bx 0 < b < 1 b > 1 a > 0 Common family traits 1. Domain all real numbers 2. Rapid growth/decay 3. Horizontal asymptote a < 0
The model for our neutralizing reaction ( ) = + x = L ab 1 y A b C x y Discuss why these two models are equivalent. Why would someone prefer the 2nd model?
Questions for further discussion/exploration 1. How does the value of B affect the shape of the modeling curve? 2. How would adding more drops of lemon juice to the starting solution affect the resulting plot of pH versus time? Which of the parameters A, B and C in the model expression would change? 3. How would adding two antacid tablets (instead of one) to the starting solution affect the resulting plot of pH versus time? Which of the parameters A, B and C in the model expression would change? 4. How do you expect the model to change if you use an Extra Strength tablet?
