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Question

The temperature at 12 noon was 10oC above zero. If it decreases at the rate of 2oC per hour until midnight, at what time would the temperature be 8oC below zero? What would be the temperature at midpoint?

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Solution

Given, 12 noon temperature was 10oC above zero.

T(12pm)=10oC

It decreases at the rate of 2oC per hr until 12 am

dTdt (12pm to 12am) =2oC

T(t)=2t+T0

T0=10oC

8o=2t+10o

2t=18o

t=9

It means at 9 pm, the temperature is 8oC

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