Isom: Isomerization data

In NRAIA: Data sets from "Nonlinear Regression Analysis and Its Applications"

Description

The Isom data frame has 24 rows and 4 columns from an isomerization experiment.

Format

This data frame contains the following columns:

hyd

partial pressure of hydrogen (psia).

n.pent

partial pressure of n-pentane (psia).

iso.pen

partial pressure of isopentane (psia).

rate

reaction rate for isomerization of n-pentane to isopentane (1/hr).

Details

These are data on the reaction rate of catalytic isomerization of n-pentane to isopentane.

Source

Bates and Watts (1998), Nonlinear Regression Analysis and Its Applications, Wiley (Appendix A1.5).

Originally from Carr (1960), Industrial and Engineering Chemistry, 52, pp. 391-396.

Examples

str(Isom)
splom(Isom, main = "Isom data")
xyplot(rate ~ hyd, data = Isom, type = c("g", "p"),
     xlab = "Hydrogen partial pressure (psia)",
     ylab = expression(plain("Reaction rate (hr")^{-1}*plain(")")))
xyplot(rate ~ n.pent, data = Isom, type = c("g", "p"),
     xlab = "n-pentane partial pressure (psia)",
     ylab = expression(plain("Reaction rate (hr")^{-1}*plain(")")))
xyplot(rate ~ iso.pen, data = Isom, type = c("g", "p"),
     xlab = "iso-pentane partial pressure (psia)",
     ylab = expression(plain("Reaction rate (hr")^{-1}*plain(")")))
## Note - the model is mis-stated on page 272, x2 and x3 are reversed
fm1 <-
 nls(rate ~ b3*(n.pent - iso.pen/1.632)/(1+b2*hyd+b3*n.pent+b4*iso.pen),
         data = Isom, start = c(b2 = 0.1, b3 = 0.1, b4 = 0.1),
         algorithm = "plinear", trace = TRUE)
summary(fm1)        # compare to Table 2.2, page 56

NRAIA documentation built on May 2, 2019, 4:52 p.m.