Problem statement $5$

Salt water containing $1\mathrm{.}92l\frac{b}{g}al$ of salt flows at a fixed rate of $2ga\frac{l}{m}in$ into a $100-$gal tank,

initially filled with fresh water. The density of the incoming solution is $71\mathrm{.}8l\frac{b}{f}{t}^3.$ The

solution, kept uniform by stirring, flows out at a fixed rate of $19\mathrm{.}2l\frac{b}{m}in.$

a$)$ How many pounds of salt will there be in the tank at the end of $1h$ and $40$min $?$

b$)$ What is the upper limit for the number of pounds of salt in the tank if the process

continues indefinitely?

c$)$ How much time will elapse while the quantity of salt in the tank changes from $100$ to

$150lb?$oblem statement $5$

Salt water containing $1\mathrm{.}92l\frac{b}{g}al$ of salt flows at a fixed rate of $2ga\frac{l}{m}in$ into a $100-$gal tank,

initially filled with fresh water. The density of the incoming solution is $71\mathrm{.}8l\frac{b}{f}{t}^3.$ The

solution, kept uniform by stirring, flows out at a fixed rate of $19\mathrm{.}2l\frac{b}{m}in.$

a$)$ How many pounds of salt will there be in the tank at the end of $1h$ and $40$min $?$

b$)$ What is the upper limit for the number of pounds of salt in the tank if the process

continues indefinitely?

c$)$ How much time will elapse while the quantity of salt in the tank changes from $100$ to

$150lb?$