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Seawater containing 3.50 wt% salt passes through a series of 10 evaporators. Roughly equal quantities of water are vaporized in each of the 10 units and then condensed and combined to obtain a product stream of fresh water. The brine leaving each evaporator but the tenth is fed to the next evaporator. The brine leaving the tenth evaporator contains 5.00 wt% salt.
Seawater containing 3.50 wt% salt passes through a series of 10 evaporators. Roughly equal quantities of water are vaporized in each of the 10 units and then condensed and combined to obtain a product stream of fresh water. The brine leaving each evaporator but the tenth is fed to the next evaporator. The brine leaving the tenth evaporator contains 5.00 wt% salt.(a) Draw a flowchart of the process showing the first, fourth, and tenth evaporators. Label all the streams entering and leaving these three evaporators.
(b) Write in order the set of equations you would solve to determine the fractional yield of fresh water from the process (kg H2O recovered/kg H2O in process feed) and the weight percent of salt in the solution leaving the fourth evaporator. Each equation you write should contain no more than one previously undetermined variable. In each equation, circle the variable for which you would solve. Do not do the calculations.
(c) Solve the equations derived in Part (b) for the two specified quantities.
Thefractional yieldof fresh water from the process is determined by solving a set of equations. The weight percent of salt in the solution leaving the fourth evaporator can also be determined using these equations.(a) Flowchart of the process:In the first evaporator, seawater containing 3.50 wt% salt enters and produces vaporized water with the same salt concentration. The vaporized water iscondensed, and the resulting brine, still containing 3.50 wt% salt, is fed to the second evaporator. This process continues until the tenth evaporator, where the brine leaving has a salt concentration of 5.00 wt%. The product stream of fresh water is obtained by condensing and combining the vaporized water from each evaporator.(b) Set of equations:To determine the fractional yield of fresh water from the process and the weight percent of salt in the solution leaving the fourth evaporator, the following equations can be solved:Equation 1: x1 = (1 - 0.035) [Variable to solve: x1]Equation2: x2 = (1 - 0.035) * x1 [Variable to solve: x2]Equation 3: x3 = (1 - 0.035) * x2 [Variable to solve: x3]Equation 4: x4 = (1 - 0.035) * x3 [Variable to solve: x4]Equation 5: x4 = (1 - 0.050) * x10 [Variable to solve: x10]In these equations, x1, x2, x3, and x4 represent the fractional yield of fresh water from the first, second, third, and fourth evaporators, respectively. x10 represents the fractional yield of fresh water from the tenth evaporator.(c) Solution:To solve the equations derived in part (b), we need to find the values of x1, x2, x3, x4, and x10. These values can be obtained by substituting the known values of salt concentrations and solving the equations simultaneously. Once the values aredetermined, the fractional yield of fresh water from the process and the weight percent of salt in the solution leaving the fourth evaporator can be calculated.Learn more aboutfractional yieldbrainly.com/question/29198372#SPJ11...