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Question Number 25974 by Mr eaay last updated on 17/Dec/17

A cowbell coffee at 85°C is placed in a  freezer at 0°C.The temperature of the  coffee decreases exponentially;so that  after 5 minutes it is 30°C.  i.)What is the temperature after 3minute?  ii)how long will it take for the temperature  to drop to 5°C?

$${A}\:{cowbell}\:{coffee}\:{at}\:\mathrm{85}°{C}\:{is}\:{placed}\:{in}\:{a} \\ $$$${freezer}\:{at}\:\mathrm{0}°{C}.{The}\:{temperature}\:{of}\:{the} \\ $$$${coffee}\:{decreases}\:{exponentially};{so}\:{that} \\ $$$${after}\:\mathrm{5}\:{minutes}\:{it}\:{is}\:\mathrm{30}°{C}. \\ $$$$\left.{i}.\right){What}\:{is}\:{the}\:{temperature}\:{after}\:\mathrm{3}{minute}? \\ $$$$\left.{ii}\right){how}\:{long}\:{will}\:{it}\:{take}\:{for}\:{the}\:{temperature} \\ $$$${to}\:{drop}\:{to}\:\mathrm{5}°{C}? \\ $$

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