3. Dye for our new line of blue jeans is being blended in a mixing tank. The desired color of blue is produced using a concentration of 1500 ppm blue dye, with a minimum acceptable concentration of 1400 ppm. At 9 A.M. today the dye injector plugged, and the dye flow was interrupted for 10 min, until we realized the problem and unclogged the nozzle. For how many minutes was the flow leaving the mixer off-specification (< 1400 ppm)? How many gallons of off-spec dye were made? See Fig. P5-15. Water 20 gal/min Concentrated dye injector 20 gal/min aqueous dye for jeans (1500 ppm blue dye) V= 100 gal FIGURE P5-15

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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.1DP
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3.
Dye for our new line of blue jeans is being blended in a mixing tank. The desired color of
blue is produced using a concentration of 1500 ppm blue dye, with a minimum acceptable
concentration of 1400 ppm. At 9 A.M. today the dye injector plugged, and the dye flow was
interrupted for 10 min, until we realized the problem and unclogged the nozzle. For how
many minutes was the flow leaving the mixer off-specification (< 1400 ppm)? How many
gallons of off-spec dye were made? See Fig. P5-15.
Water
20 gal/min
20 gal/min aqueous dye for jeans
(1500 ppm blue dye)
Concentrated
dye injector
V= 100 gal
FIGURE PS-15
4.
A thermocouple junction of area A, mass m, heat capacity C, and emissivity e is located in
a furnace that normally is at T C. At these temperatures convective and conductive heat
transfer to the junction is negligible compared with radiative heat transfer. Determine the
linearized transfer function between the furnace temperature T, and the junction temperature
To. For the case
m = 0.1 g
C = 0.12 cal/(g • °C)
e = 0.7
A = 0.1 cm?
Transcribed Image Text:3. Dye for our new line of blue jeans is being blended in a mixing tank. The desired color of blue is produced using a concentration of 1500 ppm blue dye, with a minimum acceptable concentration of 1400 ppm. At 9 A.M. today the dye injector plugged, and the dye flow was interrupted for 10 min, until we realized the problem and unclogged the nozzle. For how many minutes was the flow leaving the mixer off-specification (< 1400 ppm)? How many gallons of off-spec dye were made? See Fig. P5-15. Water 20 gal/min 20 gal/min aqueous dye for jeans (1500 ppm blue dye) Concentrated dye injector V= 100 gal FIGURE PS-15 4. A thermocouple junction of area A, mass m, heat capacity C, and emissivity e is located in a furnace that normally is at T C. At these temperatures convective and conductive heat transfer to the junction is negligible compared with radiative heat transfer. Determine the linearized transfer function between the furnace temperature T, and the junction temperature To. For the case m = 0.1 g C = 0.12 cal/(g • °C) e = 0.7 A = 0.1 cm?
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