You are in a room where the temperature is 73°F, and you have made a fresh a cup of hot tea, with an initial temperature

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You Are In A Room Where The Temperature Is 73 F And You Have Made A Fresh A Cup Of Hot Tea With An Initial Temperature 1 (54.35 KiB) Viewed 35 times

You Are In A Room Where The Temperature Is 73 F And You Have Made A Fresh A Cup Of Hot Tea With An Initial Temperature 2 (33.86 KiB) Viewed 35 times

You are in a room where the temperature is 73°F, and you have made a fresh a cup of hot tea, with an initial temperature of 210°F. After waiting for exactly 2 minutes, the temperature of the tea is 169°F. The tea must cool to a temperature of 110°F before you can safely drink it. Using Newton's Law of Cooling, determine how many minutes you must wait before you may safely start drinking your tea, starting from when the tea was first made. Express your answer as a decimal that is within 0.005 of the true value. Newton's Law of Cooling The rate at which the temperature of an object changes is directly proportional to the difference between the temperature of the object and the temperature of its surroundings. Warning! Only round your final answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your final answer wrong. (This is true in general, not just in this problem.)

Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the mixture flows out at the rate of 3 gallons per minute, how many pounds of salt will remain in the tank after 22 minutes if 33 pounds of salt are in the mixture initially? (Give your answer correct to at least three decimal places.) Warning! Only round your final answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your final answer wrong. (This is true in general, not just in this problem.)