Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes the bar is removed and instantly transferred to the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.9° C?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Two large containers A and B of the same size are
filled with different fluids. The fluids in containers A
and B are maintained at 0° C and 100° C,
respectively. A small metal bar, whose initial
temperature is 100° C, is lowered into container A.
After 1 minute the temperature
of the bar is 90° C. After 2 minutes the bar is
removed and instantly transferred to the other
container. After 1 minute in container B the
temperature of the bar rises 10°. How long,
measured from the start of the entire process, will it
take the bar to reach 99.9° C?
Transcribed Image Text:Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes the bar is removed and instantly transferred to the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.9° C?
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