Two containers A and B contain different liquids which are kept at a constant temperature. The temperature of the liquid in containers A and B are 0° C and 100° C, respectively. A metal bar at 100° C is initially put into container A. After one minute, the temperature of the metal drops to 90° C. а. Determine the temperature of the metal after two minutes in container A b. After two minutes, the metal is transferred to container B. One minute later, the temperature of the metal increases by 10° C. Determine the total time required from the start of the process for the metal to reach 95° C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Two containers A and B contain different liquids which are kept at a
constant temperature. The temperature of the liquid in containers A
and B are 0° C and 100° C, respectively. A metal bar at 100° C is initially
put into container A. After one minute, the temperature of the metal
drops to 90° C.
Determine the temperature of the metal after two minutes in
container A
b. After two minutes, the metal is transferred to container B. One
minute later, the temperature of the metal increases by 10° C.
Determine the total time required from the start of the process for
the metal to reach 95° C.
Transcribed Image Text:2. Two containers A and B contain different liquids which are kept at a constant temperature. The temperature of the liquid in containers A and B are 0° C and 100° C, respectively. A metal bar at 100° C is initially put into container A. After one minute, the temperature of the metal drops to 90° C. Determine the temperature of the metal after two minutes in container A b. After two minutes, the metal is transferred to container B. One minute later, the temperature of the metal increases by 10° C. Determine the total time required from the start of the process for the metal to reach 95° C.
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