11.64 Spath and Amos (Journal of Solar Energy Engineering, 2003) studied the process of hydrogen production via thermal decomposition of methane, using a solar reactor. The table on page 664 shows the hydrogen production rate, Y (in mol/s) at different solar irradiance, X (in w/m2) for 70% conversion for the three different heliostat sizes.

a Make a scatterplot for each heliostat size.

b Comment on the nature of the relation between hydrogen production rate and solar irradiance.

c Develop models to predict the hydrogen production.

d Estimate the mean production at solar irradiance of 500 w/m2.