2. Water circulates between two tanks T1 and T2. Tank T1 initially contained 100gal of pure water and tank T2 initially contained 100gal of water in which 150Ib of salt are dissolved. The rates of fluid circulation from T, to T2 and from T2 to T1 are 8gal/min and 2gal/min respectively. If there is an inflow of 6gal/min containing 6Ib of salt from the outside into tank T, and 6gal/min is withdrawn from tank T2 to maintain constant volume within the system, find the fundamental design relationships between the amount of salt y1(t) in T1 and y2(t) in T2 with time t. How long would it take the system to circulate for the salt content y1(t) to equal y2(t) ? You may assume the contents of both tanks are kept uniform by mixing