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Data p = 950 n³ T = 350 K 150L mol-K Mw.DMF = 73.1 gm mol Cy = Viia = 2 m3 kg w = 180- min T = 325 K P = 1 bar X1 = 0.9 %3D kg i = 0.6 W1 = 200- min %3D Antoine equation for DMF: в log10 PEF = A – C+T' , with Psat[=] bar and T[=] K A = 3.93068 B = 1337.716 C = -82.648

Data p = 950 n³ T = 350 K 150L mol-K Mw.DMF = 73.1 gm mol Cy = Viia = 2 m3 kg w = 180- min T = 325 K P = 1 bar X1 = 0.9 %3D kg i = 0.6 W1 = 200- min %3D Antoine equation for DMF: в log10 PEF = A – C+T' , with Psat[=] bar and T[=] K A = 3.93068 B = 1337.716 C = -82.648

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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Data kg p = 950 m3 Cy = 150L mol·K Mw.DMF = 73.1 gm mol Viia = 2 m3 T = 350 K T = 325 K X1 = 0.9 kg w = 180 min ī = 0.6 P = 1 bar W1 = 200- min kg Antoine equation for DMF: B log10 PEiE = A – C+T' with Psat[=] bar and T[=] K A = 3.93068 B = 1337.716 C = -82.648
Transcribed Image Text:Data kg p = 950 m3 Cy = 150L mol·K Mw.DMF = 73.1 gm mol Viia = 2 m3 T = 350 K T = 325 K X1 = 0.9 kg w = 180 min ī = 0.6 P = 1 bar W1 = 200- min kg Antoine equation for DMF: B log10 PEiE = A – C+T' with Psat[=] bar and T[=] K A = 3.93068 B = 1337.716 C = -82.648
In this problem you will analyze the flash vessel in the diagram below where a polymer solution is concentrated in a heated flash vessel. Stream 1 enters the tank with a volatile solvent (DMF) at a mass fraction of x1, and the remaining mass is a non-volatile polymer. A heating coil is in place to maintain the temperature of the liquid phase that provides energy at a rate Q. The total pressure in the vapor phase is held constant at P = 1 bar by a flow of an inert gas that carries the DMF vapor away through stream 2, where the volatile solvent is present at a mass fraction of y2. Pure N2 W2, Y2, T P T, x w, x, T W1,T1,X1 olec 1. What is the steady state heat flow Q and gas flow rate W, required to maintain the steady-state conditions below? In measuring enthalpy changes, assume a reference state of 300 K. Derive the transfer functions between the outlet concentration x and the inlet temperature T,, the inlet concentration x1, and the energy put into the system through the heater Q. Which variable do you anticipate having a larger effect on the outlet concentration? Suppose each input experiences a deviation by 5%, which would result in the largest change in the outlet 2. 3. concentration, x? 4. Assume the concentration at the outlet is measured, and the only dynamics associated with the measurement is a time delay of 30 sec, and the gain is Km = 10 mA/mass fraction = 10 mA. Using your favorite design scheme, design either a Pl or PID controller that manipulates the output of the heater to respond to deviations in the outlet concentration. 5. Plot the response of the outlet concentration x and the heater input Q when the inlet concentration x, exhibits a step deviation from x, = 0.9 to x, = 0.95. Given assumptions Gas phase acts as an ideal gas, and the carrier gas has approximately the same molecular weight as the DMF (this means the mass fraction in the vapor phase is the same as the mole fraction) Mixing in the liquid phase is ideal (Lewis mixing) The energy lost from the liquid to the vapor phase is negligible in the energy balance The polymer is non-volatile (Polymer = 0) The liquid density and heat capacity is approximately independent of solvent concentration.
Transcribed Image Text:In this problem you will analyze the flash vessel in the diagram below where a polymer solution is concentrated in a heated flash vessel. Stream 1 enters the tank with a volatile solvent (DMF) at a mass fraction of x1, and the remaining mass is a non-volatile polymer. A heating coil is in place to maintain the temperature of the liquid phase that provides energy at a rate Q. The total pressure in the vapor phase is held constant at P = 1 bar by a flow of an inert gas that carries the DMF vapor away through stream 2, where the volatile solvent is present at a mass fraction of y2. Pure N2 W2, Y2, T P T, x w, x, T W1,T1,X1 olec 1. What is the steady state heat flow Q and gas flow rate W, required to maintain the steady-state conditions below? In measuring enthalpy changes, assume a reference state of 300 K. Derive the transfer functions between the outlet concentration x and the inlet temperature T,, the inlet concentration x1, and the energy put into the system through the heater Q. Which variable do you anticipate having a larger effect on the outlet concentration? Suppose each input experiences a deviation by 5%, which would result in the largest change in the outlet 2. 3. concentration, x? 4. Assume the concentration at the outlet is measured, and the only dynamics associated with the measurement is a time delay of 30 sec, and the gain is Km = 10 mA/mass fraction = 10 mA. Using your favorite design scheme, design either a Pl or PID controller that manipulates the output of the heater to respond to deviations in the outlet concentration. 5. Plot the response of the outlet concentration x and the heater input Q when the inlet concentration x, exhibits a step deviation from x, = 0.9 to x, = 0.95. Given assumptions Gas phase acts as an ideal gas, and the carrier gas has approximately the same molecular weight as the DMF (this means the mass fraction in the vapor phase is the same as the mole fraction) Mixing in the liquid phase is ideal (Lewis mixing) The energy lost from the liquid to the vapor phase is negligible in the energy balance The polymer is non-volatile (Polymer = 0) The liquid density and heat capacity is approximately independent of solvent concentration.
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