Pressure Temperature Extensions

I. Use your linear regression line to answer the following questions:

  1. How much pressure would be evident at 30°C? at 80°C?
  2. At what temperature would the pressure be exactly one atm?
  3. What temperature would be required to produce 1.15 atm?
  4. What is the x-intercept of this line?
  5. What does this mean in terms of the pressure-temp. relationship?
  6. This temperature is often referred to as:
    • a. darn cold
    • b. thearticfreeze
    • c.BRRRRR!
    • d. absolutezero
    • e. a warm day in MN

II. The general absolute zero relationship is given by K=C+273 where C is Celsius and K is Kelvin.

1. Use previous materials to record the relationship between Fahrenheit and Celsisus:

F=________________

2. Graph both of these functions. At what degree Celsius are both Kelvin and Farenheit equal? What is the Farenheit and Kelvin temperature at this point?

3. Solve K= C+273 for C. C=______________

4. Use function composition to express Fahrenheit as a function of Kelvin: F= _______

5. What is the x-intercept of this curve and what is its signifigance?

6. What is the y-intercept of this curve and what is its signifigance?

7. Where are F and K equal? ______ Does this agree with our previous conclusion?

8. What is the Kelvin Temperature on a warm day of 120°F?

9. The temperature outside is 250 K; what sort of clothing should you wear?

10. Algebraically solve for K in terms of F and graph this function.

11. How does this function relate to its original Fahrenheit counterpart?