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Trigonometry
Question

Cooling soup Suppose that a cup of soup cooled fr...

Cooling soup Suppose that a cup of soup cooled from \(90 ^ { \circ } C\) t \(60 ^ { \circ } C\) after \(10\) min in a room whose temperature was \(20 ^ { \circ } C\) . Ust Newton's Law of Cooling to answer the following questions.

a. How much longer would it take the soup to cool to \(35 ^ { \circ } C\) ?

b. Instead of being left to stand in the room, the cup of \(90 ^ { \circ } C\) soup is put in a freezer whose temperature is \(- 15 ^ { \circ } C\) . How long will it take the soup to cool from \(90 ^ { \circ } C\) to \(35 ^ { \circ } C\) ?

Answer

\(\text { (a) } 17.5 min \text { (b) } 13.26 min\)

Solution
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