In a dairy plant, milk at 4C is pasteurized continuouslyat 72C at a rate of 12 L/s for 24 hours a day and 365days a year. The milk is heated to the pasteurizing temperatureby hot water heated in a natural-gas-fired boiler that has anefficiency of 82 percent. The pasteurized milk is then cooledby cold water at 188C before it is finally refrigerated back to4C. To save energy and money, the plant installs a regeneratorthat has an effectiveness of 82 percent. If the cost of naturalgas is $1.30/therm (1 therm = 105,500 kJ), determine howmuch energy and money the regenerator will save this companyper year and the annual reduction in entropy generation.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
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In a dairy plant, milk at 4C is pasteurized continuously
at 72C at a rate of 12 L/s for 24 hours a day and 365
days a year. The milk is heated to the pasteurizing temperature
by hot water heated in a natural-gas-fired boiler that has an
efficiency of 82 percent. The pasteurized milk is then cooled
by cold water at 188C before it is finally refrigerated back to
4C. To save energy and money, the plant installs a regenerator
that has an effectiveness of 82 percent. If the cost of natural
gas is $1.30/therm (1 therm = 105,500 kJ), determine how
much energy and money the regenerator will save this company
per year and the annual reduction in entropy generation.

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