CHM 1025C/MAC 1105: Critical Thinking Exercise

Cognitive scientist define “critical thinking” as mental activity associated with these types of thinking:
a. applying reasoning
b. making decisions
c. problem solving

In the CHM 1025C Corwin  textbook used at Florida State College @ Jacksonville , critical thinking is introduced within the context of chemical principles. In CHM 1025C and the Corwin text critical thinking  is undertaken specifically in the chapter vignette and end-of-chapter self-tests, and generally in unit analysis problem solving.

Assignment #1:  The above images demonstrate equivalent temperatures on the Fahrenheit and Celsius scales with ice water and boiling water. The third thermometer compares to Kelvin Temperatures to Fahrenheit and Celsius temperatures.

Go to the temperature conversion web site:

1. Setup the Student’s theoretical temperature scale with the following parameters:
a. The Freezing Point of water is Your Age or Your desired Age.  (Prof taylor 50oT)(Ms Sweet 30oS)
b.  The Boiling Point of water is your body weight or desired body weight (Prof Taylor 250oT)(Sweet 120oS)

c. Fill in the table below with your parameters to make oX (Student): (Professor Taylor’s normal body temperature is the normal 98.6 oF, Professor Bessman 96.8 oF, and Ms Sweet 97.3 oF. If your normal body temperature is not 98.6 then fill in you Fahrenheit temperature and calculate the blanks across the line of the table.))

 Temperature oF Temp. oC Temp. K Temp. oT Temp. oS Temp. oX (Fahrenheit) (Celsius) (Kevin) (Taylor) (Sweet) (Student) 250 121 394 298 139.0 212 100 373 250 120.0 158 70 343 190 93.0 104 40 313 130 66.0 98.6 37.0 310.0 124.0 63.3 97.3 36.3 309.3 122.6 62.7 96.8 36.0 309.0 122 62.4 81 27 300 104 54.5 77 25 298 100 52.5 75 24 297 98 51.5 68 20 293 90 48.0 50 10 283 70 39.0 32 0 273 50 30.0 14 -10 263 10 21.0 0 -18 255 1 14.0 -4 -20 253 -2 12.0 -22 -30 243 -14 3.0 -28 -33.3 240 -17 0.0 -40 -40 233 -26 -6.0 -58 -50 223 -33 -15.0 -76 -60 213 -50 -24.0 -130 -90 183 -86 -51.0 -148 -100 173 -98 -60.0

2. Using a rectangular piece of graph paper, set up a graph plotting Fahrenheit versus Celsius so that vertical axis is Fahrenheit ranging from 250 down to -150 and the horizontal axis is -100 on the left and 125 on the right.
a. Describe the line or curve generated by this data:

b. If the plot is a line, then what is the slope of the line and the Y intercept and the X intercept. Write the equation for the line.(Do you remember the equation of a straight line from algebra?)

c. If the plot is a curve, can you write the equation of the curve?

3. Now plot Celsius versus Kelvin on a rectangular coordinate graph. If Kelvin is the y axis and Celsius is the x axis, what is the y axis intercept? What is the slope of the line?

Is there an easier way to find the slope of the line by looking at the data?

At what temperature Celsius would Kelvin equal zero?

In the Corwin  textbook on page 62 we refer to temperature on the Fahrenheit   and Celsius scales as degree F (oF) and degree C (oC), but in Kelvin temperature, temperatures are referred as Kelvin units?  Why?

4. Now plot Celsius versus Student and Fahrenheit versus Student using separate graphs. On the oC vs oF graph, examining the data do you notice that: -40 oF = -40 oC. On your two Student graph plots is there a temperature where    oS = oC    or   oS = oF?

5. Algebraically is there away to determine if there is a temperature on the Taylor Scale, the Sweet Scale, or the Student Scale when that temperature equals a temperature on either the Celsius or Fahrenheit scale?

6. Fahrenheit, Celsius, Taylor, and Sweet temperatures are listed in degrees, while Kevin and Rankin temperatures are given in straight units not degrees. Why?