(a) The initial value problem discribing the situation of the problem is defined by:

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brine solution of salt flows at a constant rate of 8L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.5 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank
at the same rate. If the concentration of salt in the brine entering the tank is 0.05 kg/L, determine the mass of salt in the tank after t min. when will the concentration of salt in the tank reach 0.02 kg/L.
(a) The initial value problem discribing the situation of the problem is defined by:
OA dx
dt
OB. dx
dt
o o
OC. dx
dt
= 0.3-
-0.4-
= 0.6-
3x
= 0.8-
25*(0)=0.5
2x
25 x(0)=0.5
3x
25
4x
x(0)=0.5
OD. dx
dt
25*(0)=0.5
OE. None of the given answers is correct
Transcribed Image Text:brine solution of salt flows at a constant rate of 8L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.5 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.05 kg/L, determine the mass of salt in the tank after t min. when will the concentration of salt in the tank reach 0.02 kg/L. (a) The initial value problem discribing the situation of the problem is defined by: OA dx dt OB. dx dt o o OC. dx dt = 0.3- -0.4- = 0.6- 3x = 0.8- 25*(0)=0.5 2x 25 x(0)=0.5 3x 25 4x x(0)=0.5 OD. dx dt 25*(0)=0.5 OE. None of the given answers is correct
(b) The solution of the equation defining the process is:
OA
OB.
O c.
OD.
x(t) = 2.5-2e
x(t)=4-3e
x(t) = 5-4.5e
31
25
21
21
25
x(t)=3-2.5e
OE. None of the given answers is correct
Transcribed Image Text:(b) The solution of the equation defining the process is: OA OB. O c. OD. x(t) = 2.5-2e x(t)=4-3e x(t) = 5-4.5e 31 25 21 21 25 x(t)=3-2.5e OE. None of the given answers is correct
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