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A production facility heats various equipment using a network of heated air and

ID: 947977 • Letter: A

Question

A production facility heats various equipment using a network of heated air and water vapor lines. A boile Map d produces a 172.0 mol/hr stream consisting of 0.580 mol fraction of water and 0.420 mol fraction of air at 137.0°C and 5400.0 mmHg. The air and water vapor cool as the gases move away from the boiler, and steam traps collect and remove condensed water from the lines while the pressure remains constant. If a total of 59.9 mol/hr of condensed water is removed from the air and vapor lines, what is the composition and temperature of the air and vapor mixture leaving the steam lines? Use the Antoine equation to find the vapor pressure of water at these temperatures. To solve for the requested values, first label the process flow diagram below. Label any quantities as unknown" if they are not given or implied above. Do not leave any blank spaces. Variable names are given for reference later. "BDA" stands for bone-dry air, meaning the non-water vapor component of the gas mixture m= unknown mol/hr Y3= unknown mol H2O(v)/mol Ya= unknown mol BDA/mol P2 = unknown mmHg T2= unknown 1720 mol/hr y10.580 mol H20 (v)/mol Y2= 0.420 mol BDA/mol P1 = 5400.0 mmHg T1 = 137.0 Heated Air and Water Vapor Lines ol Ho Heated Ain unknown n2 = 59.9 mol H2O(l)/hr unknown172.0 0.420 5400.0 0.580 137.0 59.9

Explanation / Answer

1.

Global Balance: Stream IN = Streams Out

n1 = n2 + n3

n3 = 112.1 mol/h

2. By the balance of dry air (correlation component: note that the air enters and leave the control volume for only one stream), the balance of the correlation component are always easier because the equation has less streams.

n1xy2 = n3xy4

y4 = 172*0.42/112.1 = 0.644

y3 + y4 = 1 therefore, Y3 = 0.355

please you should provide the equation and the parameters of antoine to determine the vapor pressure and the temperature. Regards

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