Tank-T-1-and-T-2-initially-contains-100gal-of-water-each-In-T-1-the-water-is-pure-whereas-150lb-of-fertilizer-are-dissolved-in-T-2-By-circulating-liquid-at-a-rate-of-1gal-min-and-stirring-the-amou

Question Number 41726 by Necxx last updated on 11/Aug/18

T a n k T_{1} a n d T_{2} i n i t i a l l y c o n t a i n s

100 g a l o f w a t e r e a c h . I n T_{1} t h e

w a t e r i s p u r e, w h e r e a s 150 l b o f

f e r t i l i z e r a r e d i s s o l v e d i n T_{2} . B y

c i r c u l a t i n g l i q u i d a t a r a t e o f

1 g a l / m i n a n d s t i r r i n g t h e a m o u n t

o f f e r t i l i z e r y_{1} (t) i n T_{1} a n d y_{2} (t)

i n T_{2} c h a n g e w i t h t i m e t .

a) w i t h a s c h e m a t i c d i a g r a m w r i t e

t h e m o d e l l i n e a r e q u a t i o n s f o r

t h e m i x i n g p r o b l e m .

(b) d e t e r m i n e t h e e i g e n v a l u e s a n d ⊛

a n d e i g e n v e c t o r s o f t h e d e r i v e d

e q u a t i o n .