(a) Water is heated to a boiling point temperature 100°C. It is then removed from the burner and kept in a room of 30°C temperature. Assuming that there is no change in the room temperature and the temperature of the hot water is 90°C after 3 minutes, (b) (c) 100°C (d) Figure 1 write the expression of the water temperature, T at any time, t. calculate the water temperature after 5 minutes. determine the duration in which water will cool down to 50°C. sketch the graph of the water temperature for 0 ≤ t ≤ 30 minutes.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 1
(a)
Water is heated to a boiling point temperature 100°C. It is then removed from the burner and
kept in a room of 30°C temperature. Assuming that there is no change in the room temperature
and the temperature of the hot water is 90°C after 3 minutes,
(b)
(c)
100°C
SUVIL
(d)
Figure 1
write the expression of the water temperature, T at any time, t.
calculate the water temperature after 5 minutes.
determine the duration in which water will cool down to 50°C.
sketch the graph of the water temperature for 0≤t≤ 30 minutes.
Transcribed Image Text:Question 1 (a) Water is heated to a boiling point temperature 100°C. It is then removed from the burner and kept in a room of 30°C temperature. Assuming that there is no change in the room temperature and the temperature of the hot water is 90°C after 3 minutes, (b) (c) 100°C SUVIL (d) Figure 1 write the expression of the water temperature, T at any time, t. calculate the water temperature after 5 minutes. determine the duration in which water will cool down to 50°C. sketch the graph of the water temperature for 0≤t≤ 30 minutes.
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