I. The regression "line" you just obtained is decieving in that several letters actually represent other formulas. In fact, we know that:
y = ln P; m = _________ ; and x = _______
A. What is the slope of your line equal to? _________
Conseqeuntly, what is H/R equal to?
B. Use your regression line to fill in the following table:
|
x |
y |
|---|---|
|
0.0015 |
|
|
0.0025 |
|
|
0.0045 |
|
|
0.0060 |
|
C. Solve X=1/T for T and use this relationship to fill in the next table:
|
x |
T (= 1/x) |
|---|---|
|
0.0015 |
|
|
0.0025 |
|
|
0.0045 |
|
|
0.0060 |
|
D. Solve Y=lnP for P: P = _____ . Use this equation to fill in this table. Express your answer in scientific notation to 3 significant figures:
|
Y |
P |
|---|---|
|
11.84 |
|
|
8.00 |
|
|
0.23 |
|
|
-5.6 |
|
E. Use your previous tables so fill in the following spreadsheet
|
x |
Y |
T |
P |
|---|---|---|---|
|
0.0015 |
|
666.7 |
|
|
0.0025 |
8.00 |
|
|
|
0.0045 |
|
|
|
|
0.0060 |
|
|
3.70E-3 |
2. For what listed value of T is the Pressure closest to 0?
A. Use the slope and y-intercept of your regression line to
substitute in for -H/R and B.
1. In P = (______)/T + ______
2. Now solve for P by expressing each side as a power of e:
P=
B. You now have an equation which directly expresses the pressure versus temperature relationship. Graph this equation and use the spreadsheet above to help adjust the window.
1. Determine P when T = 400. P = ______ . How does this compare to your table value.
2. Use this equation to determine P when T = 300, P = _____ and T when P = 0.5, T = ______ . What is T in Celsius:
3. Dr. Al G. Braugh claims that P also= e^(b)*e^(m/T). Graph this equation using your regression values for b and m. Also regraph your P equation from A2. How do these two compare? Is Dr. Braugh correct? Explain why or why not?