anyone can help it will be great? A fast-food restaurant wants a special container to hold tea. the restaurant wishes to quickly cool the tea from 100 degrees C and keep the liquid between 43 degree C and 55 Degrees C as long as possible. The restaurant has three containers
1. the Hot Cup Company has a container that reduces the temperature of a liquid from 100 Degrees C to 38 Degrees in 30 minutes by maintaining a constant temperature of 21 Degree C
2. the Warm Cup Company has a container that reduces the temperature of a liquid from 100 Degrees C to 43 Degrees in 25 minutes by maintaining a constant temperature of 16 Degree C
3. the Boiling Cup Company has a container that reduces the temperature of a liquid from 100 Degrees C to 49 Degrees in 20 minutes by maintaining a constant temperature of 18 Degree C
You need to recommend which container the restaurant should purchase:
Use Newton's law of cooling to find a function relating the temperature of the liquid over the time for each container. U(t)=T+(U0 - T) e^tk
1. the Hot Cup Company has a container that reduces the temperature of a liquid from 100 Degrees C to 38 Degrees in 30 minutes by maintaining a constant temperature of 21 Degree C
2. the Warm Cup Company has a container that reduces the temperature of a liquid from 100 Degrees C to 43 Degrees in 25 minutes by maintaining a constant temperature of 16 Degree C
3. the Boiling Cup Company has a container that reduces the temperature of a liquid from 100 Degrees C to 49 Degrees in 20 minutes by maintaining a constant temperature of 18 Degree C
You need to recommend which container the restaurant should purchase:
Use Newton's law of cooling to find a function relating the temperature of the liquid over the time for each container. U(t)=T+(U0 - T) e^tk