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5 . A beverage dispensing system consists of a bottle of beverage, a dispensing hose with valve, and a CO 2 system to keep the

5. A beverage dispensing system consists of a bottle of beverage, a dispensing hose with valve, and a CO2 system to keep the beverage pressurized. The CO2 system includes a small bottle of high-pressure liquefied CO2, and a regulator to regulate the gas pressure delivery to the beverage. A typical beverage system contains a 7.75-gal beverage bottle, a 5-lb bottle of liquefied CO2, and a regulator set at 9 psig. The regulator is connected directly to the CO2 bottle, and a 0.5-in (internal diameter) plastic hose connects the regulator to the beverage bottle. The liquefied CO2 saturation vapor pressure is 800 psia. Assume a temperature of 80\deg F. A pressure relief system must be designed to protect the beverage bottle from overpressure.
The relief device will be installed in the CO2 line where it enters the beverage container.
a. Determine the most likely scenario contributing to overpressure of the beverage container.
b. Must two-phase flow be considered?
c. Determine the vent area required, assuming a set pressure of 20 psig and an overpressure of 10%. Also assume a spring-type relief.

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