Figure 5-10 is a graph of AX/AS versus [X]/[S] 5 (mol% vinyl acetate units)/(mol% ethylene units) 5 q/p in Reaction 5- 13.

In figure 5-10

(a) Construct the graph in Figure 5-10 from the following data:    

(b) Use a least-squares spreadsheet such as that in Figure 4-15 to find the slope and intercept and uncertainties sy, um, and ub of the calibration line in (a).

(c) From the equation of the line, find [X]/[S] for a measured value AX/AS 5 1.98. Use Equation 4-27 in your spreadsheet to fi nd the standard uncertainty ux in the quotient [X]/[S]. The graph has 6 points with 4 degrees of freedom. Find the 95% confidence interval (5 6tux) for [X]/[S].

(d) From the uncertainty ub of the intercept, find the 95% confidence interval for the intercept. Does this interval include the theoretical value of zero?

Transcribed Image Text:

2.5 2.0 y= 3.465 8x + 0.038 2 1.5 1.0 0.5 0.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Mol% vinyl acetate/mol% ethylene A1 020/A 720