0.12 115 10 0.18 130 12 0.42 202 14 0.90 335 18 2.10 510 20 6.00 890 30 18.00 1700 40 42.00 2600 50

python

= Fitting a Power Law Function Small nanoparticles of soot suspended in water start to aggregate when salt is added. The average radius r of the aggregates is predicted to grow as a power law in time t according to the equation r rot. (The data is in the file sootAggregation.txt. The columns are: time (mins), Avg. Radius (nm), Uncertainty in Radius (nm)). Taking the logarithm of this equation gives Inr = n Int+Inro. Thus the data should fall on a straight line if Inr is plotted vs Int. Fit a regression line to the data using Inr = n lnt + In ro and find values for n and ro. = Fitting a Power Law Function Small nanoparticles of soot suspended in water start to aggregate when salt is added. The average radius r of the aggregates is predicted to grow as a power law in time t according to the equation r rot. (The data is in the file sootAggregation.txt. The columns are: time (mins), Avg. Radius (nm), Uncertainty in Radius (nm)). Taking the logarithm of this equation gives Inr = n Int+Inro. Thus the data should fall on a straight line if Inr is plotted vs Int. Fit a regression line to the data using Inr = n lnt + In ro and find values for n and ro