a) The tank contains 100gal of brine made by dissolving 80lb of salt in water. Pure water runs into tank at rate of 4gal/min, and mixture, that is kept uniform by stirring, runs out at same rate. Determine amount of salt in tank at any time time (t). Determine concentration of salt in tank at any time time (t)
b) The tank has 10gal of brine in which 2lb of salt is dissolved. Brine having 1lb of salt per gallon flows into tank at rate of 3gal/min, and stirred mixture is drained off tank at rate of 4gall/min. Determine amount y(t) of salt in tank at any time (t).
c) The tank holds 10L of pure water. The brine solution is poured into tank at the rate of 1L/min and kept well stirred. Mixture leaves tank at same rate. If brine solution has the concentration of 10g of salt per litre, find concentration be in tank after 10min.
d) The 30-L container originally has 10L of pure water. The brine solution having 20g of salt pe litre flows into container at the rate of 4L/min. Well stirred mixture is pumped out of container at the rate of 2L/Min. i) How long it takes for container to overflow? ii) How much salt is in tank at moment te tank starts to overflow?