The boiling point of water is 100 °C. The temperature of water in a kettle is 36 °C. If the water
in the kettle is heated such that its temperature goes up by 4 °C every minute, find:
(a) the temperature of water in the kettle after 10 minutes.
(b) the time taken for the water in the kettle to boil
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Answer:
Given ,
Thetemperature rises 4° per minute
to find,
a) temp. of water after 10 minutes
initial temperature = 36°C
Rate of increase = 4°/ minute
Time = 10 minute
Final temperature = 36°+(4×10)
= 36°+40°
=76°C
b) time taken for water to boil
Final temperature = 100° ( required for water to boil)
Initial temperature= 36°
Rate of increase = 4°c/ minute
final tempt. = initial temperature + (rate × time)
You will find after deriving formulae that
time =( initial + final )/rate of change
time taken = (100+36)/4
= 136/4
= 34
there fore time = 34 minutes
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