ct and outlet temperatures are 80°F and I 10 F, respectively. Verage latent heat of vaporization is 125 Btu/lbm. The cool ing water (a) Calculate the cooling water flow rate in gpm at the design conditions. Assume the density of water is 62.4 Ib/n' and its specific heat is 1.0 Btu/lbm"F. Also, 7.48 gal of liquid = I ft' of liquid. ote - If you cannot calculate a cooling water flow rate in part (a), assume the cooling water flow rate is 100 n at design conditions e cooling water pressure drop through the condenser is 5 psi at the design conditions and it is proportional to volumetric flow rate squercd, A control val ve is installrd in the coolinit water line d the tote

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Solve d) & e)

The overhead vapor from a distillation column is totally condensed in a water-cooled condenser at 120°F and 220 psig, and the condensed stream is sent to a reflux drum at the same temperature and pressure. The vapor design flow rate is 10,000 lb/hr, and the average latent heat of vaporization is 125 Btu/lb. The cooling water inlet and outlet temperatures are 80°F and 110°F, respectively.

**(a)** Calculate the cooling water flow rate in gpm at the design conditions. Assume the density of water is 62.4 lb/ft³ and its specific heat is 1.0 Btu/lb•°F. Also, 7.48 gal of liquid = 1 ft³ of liquid.

(Note – If you cannot calculate a cooling water flow rate in part (a), assume the cooling water flow rate is 100 gpm at design conditions)

The cooling water pressure drop through the condenser is 5 psi at the design conditions and it is proportional to the volumetric flow rate squared. A control valve is installed in the cooling water line, and the total pressure drop over the condenser and control valve is constant at 35 psi. The pressure in the reflux drum is measured by a pressure sensor/transmitter that has a range of 150-250 psig and an output signal range of 4-20 mA. A proportional controller with a gain of Kc = 4 is used to control pressure in the reflux drum by manipulating the cooling water flow rate. The current signal (mA) from the controller is converted to an air pressure signal (psig) in the I/P transducer.

**(b)** Determine the valve size coefficient Cv if the flow rate through a wide-open valve must be twice the design flow rate.  
**(c)** Specify the action of the control valve and controller.  
**(d)** Determine the valve opening f(f) at the design flow rate.  
**(e)** Determine the current signal from the pressure transmitter at the design flow rate.

---

**Diagram Explanation:**

The diagram shows a process flow involving a condenser and a reflux drum:

1. **Condenser** - Vapor enters the condenser, where cooling water flows through it. The cooling water comes in and exits as part of the process.

2. **Reflux Drum** - below the condenser, with lines marked ‘T’ (temperature), ‘P’ (pressure), ‘
Transcribed Image Text:The overhead vapor from a distillation column is totally condensed in a water-cooled condenser at 120°F and 220 psig, and the condensed stream is sent to a reflux drum at the same temperature and pressure. The vapor design flow rate is 10,000 lb/hr, and the average latent heat of vaporization is 125 Btu/lb. The cooling water inlet and outlet temperatures are 80°F and 110°F, respectively. **(a)** Calculate the cooling water flow rate in gpm at the design conditions. Assume the density of water is 62.4 lb/ft³ and its specific heat is 1.0 Btu/lb•°F. Also, 7.48 gal of liquid = 1 ft³ of liquid. (Note – If you cannot calculate a cooling water flow rate in part (a), assume the cooling water flow rate is 100 gpm at design conditions) The cooling water pressure drop through the condenser is 5 psi at the design conditions and it is proportional to the volumetric flow rate squared. A control valve is installed in the cooling water line, and the total pressure drop over the condenser and control valve is constant at 35 psi. The pressure in the reflux drum is measured by a pressure sensor/transmitter that has a range of 150-250 psig and an output signal range of 4-20 mA. A proportional controller with a gain of Kc = 4 is used to control pressure in the reflux drum by manipulating the cooling water flow rate. The current signal (mA) from the controller is converted to an air pressure signal (psig) in the I/P transducer. **(b)** Determine the valve size coefficient Cv if the flow rate through a wide-open valve must be twice the design flow rate. **(c)** Specify the action of the control valve and controller. **(d)** Determine the valve opening f(f) at the design flow rate. **(e)** Determine the current signal from the pressure transmitter at the design flow rate. --- **Diagram Explanation:** The diagram shows a process flow involving a condenser and a reflux drum: 1. **Condenser** - Vapor enters the condenser, where cooling water flows through it. The cooling water comes in and exits as part of the process. 2. **Reflux Drum** - below the condenser, with lines marked ‘T’ (temperature), ‘P’ (pressure), ‘
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