9. Physics Newton's Law of Cooling expresses the relationship between thetemperature of a cooling object y and the time t elapsed since cooling began.This relationship is given by y = ae-kt + c, where c is the temperature of themedium surrounding the cooling object, a is the difference between the initialtemperature of the object and the surrounding temperature, and k is a constantrelated to the cooling object.a. The initial temperature of a liquid is 160°F. When it is removed from the heat,the temperature in the room is 76°F. For this object, k = 0.23. Find thetemperature of the liquid after 15 minutes.b. Alex likes his coffee at a temperature of 135°. If he pours a cup of 170°F coffeein a 72°F room and waits 5 minutes before drinking, will his coffee be too hotor too cold? Explain. For Alex's cup, k0.34.

Given y = ae-kt+ c where is the temperature , a is the difference between the intial temperature of…

9. Physics Newton's Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since cooling began. This relationship is given by y = ae-kt + c, where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constan related to the cooling object. a. The initial temperature of a liquid is 160°F. When it is removed from the heat the temperature in the room is 76°F. For this object, k = 0.23. Find the temperature of the liquid after 15 minutes. b. Alex likes his coffee at a temperature of 135°. If he pours a cup of 170°F coffe in a 72°F room and waits 5 minutes before drinking, will his coffee be too hot or too cold? Explain. For Alex's cup, k = 0.34.

9. Physics Newton's Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since cooling began. This relationship is given by y = ae-kt + c, where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constan related to the cooling object. a. The initial temperature of a liquid is 160°F. When it is removed from the heat the temperature in the room is 76°F. For this object, k = 0.23. Find the temperature of the liquid after 15 minutes. b. Alex likes his coffee at a temperature of 135°. If he pours a cup of 170°F coffe in a 72°F room and waits 5 minutes before drinking, will his coffee be too hot or too cold? Explain. For Alex's cup, k = 0.34.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter14: Heat And Heat Transfer Methods

Section: Chapter Questions

Problem 54PE: A glass coffee pot has a circular bottom with a 9.00-cm diameter in contact with a heating element...

See similar textbooks

Similar questions

. On a winter day, the air temperature is — 15°C, and the humidity is 0,001 kg/m3. (a) What is the relative humidity? (b) When this air is brought inside a building, it is heated to 20°C. If the humidity isn't changed, what is the relative humidity inside the building?
The Surface temperature of the Sun is about 5750 K. What is this temperature on the Fahrenheit scale?
(a) Suppose a meter Stick made of steel and one made of invar (an alloy of iron and nickel) are the same length at 0C. What is their difference in length at 22.0C ? (b) Repeat the calculation for two 30.0mlong surveyor's tapes.
On a nice winter day at the South Pole, the temperature rises to 60°F. What is the approximate temperature in degrees Celsius?
- (a) Compute the amount of heat needed to raise the temperature of 1 kg of water from its freezing point to its normal boiling point. (b) How does your answer to (a) compare to the amount of heat needed to convert 1 kg of water at 100° C to steam at 100°C?
You are looking to purchase a small piece of land in Hong Kong. The price is “only” 60,000 per square meter! The land title says the dimensions are 20m30m. By how much would the total price change if you measured the parcel with a steel tape measure on a day when the temperature was 20C above normal?
(a) What is the rate of heat conduction through the 3.00-cm-thick fur of a large animal having a 1.40m2 surface area? Assume that the animal’s skin temperature is 32.0C, that tile air temperature is 5.00C, and that fur has the same thermal conductivity as air. (b) What food intake will the animal need in one day to replace this heat transfer?
(a) Calculate the rate of heat conduction through house walls that are 13.0 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 120m2 and their inside surface is at 18.0C, while their outside surface is at 5.00C. (b) How many 1-kW room heaters would be needed to balance the heat transfer due to conduction?
Pressure cookers increase cooking speed by raising the boiling temperature of water above its value at atmospheric pressure. (a) What pressure is necessary to raise the boiling point to 120.0C ? (b) What gauge pressure does this correspond to?
A glass coffee pot has a circular bottom with a 9.00-cm diameter in contact with a heating element that keeps the coffee warm with a continuous heat transfer rate of 50.0 W (a) What is the temperature of the bottom of the pot, if it is 3.00 mm thick and the inside temperature is 60.0C ? (b) If the temperature of the coffee remains constant and all of the heat transfer is removed by evaporation, how many grams per minute evaporate? Take the heat of vaporization to be 2340kJ/kg.
em>. The volume of an ideal gas enclosed in a thin, elastic membrane in a room at sea level where the air temperature is 18°C is 8 10-3 m3 .If the temperature of the room is increased by 10°C, what is the new volume of the gas?
The temperature difference between the inside and the outside of a home on a cold winter day is 57.0F. Express this difference on (a) the (Celsius scale and (b) the Kelvin scale.