Question

Suppose that a cup of soup cooled from 90C to 50C after 25 minutes in a...

Suppose that a cup of soup cooled from 90C to 50C after 25 minutes in a room whose temperature was 20C. Use Newton's law of cooling to answer the following questions.

a. How much longer would it take the soup to cool to 30C? (in minutes)

b. Instead of being left to stand in the room, the cup of 90C soup is put in the freezer whose temperature is -15C. How long will it take the soup to cool from 90C to 30C?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A loaf of bread is removed from an oven at 350◦F and cooled in a room...
A loaf of bread is removed from an oven at 350◦F and cooled in a room whosetemperature is 70◦F. If the bread cools to 210◦F in 20 minutes, how much longer willit take the bread to cool to 150◦F.
A plate is removed from an oven at temperature of 50◦C and placed in a large...
A plate is removed from an oven at temperature of 50◦C and placed in a large room at 20◦C . After 5 minutes the temperature of the plate is 40◦C . How much longer will it take to reach 30◦ ? So far I think I have only learnt about Newton's Law of Cooling, so if the answer could be relative to that formula that would be helpful in my understanding.
Water is boiled and is put to cool. The temperature of the air in the room...
Water is boiled and is put to cool. The temperature of the air in the room is rising linearly in relation to the function T(t)=30+0.01t, where t is minutes and T is Celsius. Suppose this satisfies Newton's Law of Cooling: the change of temperature of the water is proportional to the difference of the water temperature and the room’s ambient temperature. We take the water's temperature 10 minutes after and find that it's 81*C. Graph and explain T. Establish and...
Suppose you should make tea and that you pour 3.4dl of boiling water into a cup....
Suppose you should make tea and that you pour 3.4dl of boiling water into a cup. You want to drink your tea at a temperature of 55 ° C and therefore plan to put ice cubes in the boiling water so that the temperature is right. You take ice cubes from the freezer where the temperature is 18 ° C. The ice cubes weigh 15 g. How many ice cubes should you put in your tea water? Suppose the teacup...
Newton's Law of Cooling tells us that the rate of change of the temperature of an...
Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the differential equation dTdt=k(T−A)dTdt=k(T-A), where TT is the temperature of the object after tt units of time have passed, AA is the ambient temperature of the object's surroundings, and kk is a constant of proportionality. Suppose that a cup of coffee begins at 179179 degrees and,...
Newton's law of cooling/heating states that the time rate of change of temperature of a cooling/heating...
Newton's law of cooling/heating states that the time rate of change of temperature of a cooling/heating object is proportional to the difference between the temperature of the object and the ambient temperature of the medium where the object resides. If we let Ta represent the ambient temperature and T represent the temperature of the object then a DE representing this situation is dT/dt=k(T−Ta) where k<0. When a coil of steel is removed from an annealing furnace its temperature is 684...
CASE PROBLEM 4A: Katrina Wants Relief from the Open-Office Plan. Katrina has been working as a...
CASE PROBLEM 4A: Katrina Wants Relief from the Open-Office Plan. Katrina has been working as a business development planner at Gold Medal, a telecommunications company, for three years. Gold Medal sells telephone and Internet services to residential and commercial customers. Considering that the telecommunications business is intensely competitive, business development is essential to Gold Medal. Another reason that business development is essential at Gold Medal is that large numbers of customers are dropping their landline telephones and shifting to mobile....
Liebeck v. McDonalds Restaurants: The Original Coffee Product Liability Case James M. Dedman, IV Back in...
Liebeck v. McDonalds Restaurants: The Original Coffee Product Liability Case James M. Dedman, IV Back in 1994, Stella Liebeck v. McDonalds Restaurants became one of the most talked about lawsuits in American history. To this day, that New Mexico state court case is an essential component of any tort reform debate or discussion of litigation lore. At that time, and to this day, the thought of a fast food drive-thru customer spilling coffee on herself in her vehicle and later...
Chemical Reactions Types and Their Equations Making Heat with Chemical Reactions Have you ever wondered how...
Chemical Reactions Types and Their Equations Making Heat with Chemical Reactions Have you ever wondered how an instant heat pack works? A disposable heat pack works by a chemical reaction that combines iron in the package with oxygen from the air when the outer packaging is removed producing iron oxide. You have probably seen the product of this reaction in what is commonly called rust. The reaction releases heat, which allows the pack to reach a sufficient temperature that is...
Write a Python 3 program called “parse.py” using the template for a Python program that we...
Write a Python 3 program called “parse.py” using the template for a Python program that we covered in this module. Note: Use this mod7.txt input file. Name your output file “output.txt”. Build your program using a main function and at least one other function. Give your input and output file names as command line arguments. Your program will read the input file, and will output the following information to the output file as well as printing it to the screen:...