power rul owing solubility curve was taken in lab and thought to follow a e in r

Question

power rul owing solubility curve was taken in lab and thought to follow a e in regards to its solubility at varying temperatures Solubility curve for KNO o 255 E 225 195 165 135 105 75 45 15 YsaXm Power (Run 1) 10 20 30 40 50 60 70 80 90 100 Temperature ( c) r fit was applied to the graph above and you must find the equation for this line making your own graph and solving for the numerical values of "a" and "m from the Apowe quation in the graph above. m-1.232 a= b.TerProperly label all data columns. Choose and label the appropriate axis and scaling. Show all calculations on the back of this page.

Explanation / Answer

the graph

Y = aX^m

then,

choose any 2 poinst, for instance T = 50, S = 105; T = 70, S = 165

105 = a*(50)^m

165 = a*(70)^m

divide

105/165 = a/a * ( 50/70)^m

0.6364 = (0.7172)^m

ln(0.6364)/ ln(0.7172) = m

m = 1.36

now...

get a

105 = a*(50)^m

105 = a*(50)^1.36

105 = a * 204.45

a = 105/204.45

a = 0.5135

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