Question

Problem 7: Environmental engineers dealing with the impacts of acid rain must determine the value of the ion product of water Kw as a function of temperature. Scientists have suggested the following equation to model this relationship: Kw log1o Ta where Ta absolute temperature (K), and a, b, c, and d are parameters. Employ the following data and regression to estimate the parameters Ta(K) 273.15 Kw 283.15 303.15 015 2.950 x 10 293.15 6.846 x 313.15 1015 1.467 x 10142.929x I.16x 1O 15

Answer 1

Sot given equation. Ta aabsoluteemesature(k). and. a, b.c and Parsameteys. Emplo the follouwoine daja and vearession -to estimate the Pasometeris Ta(K) 273リ5 283-5 29315.303. 1 s 313-15 -15 = g + blog(173.15) Ouで10 243-15T +C(243,15) 1 3 at- ta=293-5 kW:8846x1015 + d

at, Ta= 303.15 kw= ',464x1014- 13.83336x3.4816 b 303.13 C -t d o-구チニ 0.24-88x100-0.0306 b-2.0C. 3 mutiplied in equation 2- maltiplied equation(+) bt 16 and egn② ,

a= o.osg 3918.48 Putig value ot a in egh- 0-111 = O. 0238 x103X$918. 918 + 16x1-4b 0.01チヲ29 二 16x104 b b- 013429 二 11.08 | Av q 3らin equation(6 1 6 x10 4 puHtivg value ot a s b in equation G -20C D-7千= o-945026-0:33go98-20C 0'구구= 0-635378-20c o 1340126 tollXIO 3

these value in ea 14-A340 ='3 , 660x18% 3gig.q81十2-43640x11·08 + d 26:9953830y0 ニー24-544-1 AN