This exercise uses Newton's Law of Cooling. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time t is given by T(t) = 62 + 142e−0.05t where t is measured in minutes and T is measured in °F. (a) What is the initial temperature of the soup? °F (b) What is the temperature after 10 min? (Round your answer to one decimal place.) °F (c) After how long will the temperature be 100°F? (Round your answer to the nearest whole number.)

This exercise uses Newton's Law of Cooling. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time t is given by T(t) = 62 + 142e−0.05t where t is measured in minutes and T is measured in °F. (a) What is the initial temperature of the soup? °F (b) What is the temperature after 10 min? (Round your answer to one decimal place.) °F (c) After how long will the temperature be 100°F? (Round your answer to the nearest whole number.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 33P: At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air...

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At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?
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Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature To is f(t) = To +Ce-kt, where C and k are constants. A cup of coffee with temperature 135°F is placed in a freezer with temperature 0°F. After 10 minutes, the temperature of the coffee is 60°F. Use Newton's Law of Cooling to find the coffee's temperature after 20 minutes. |°F. After 20 minutes the coffee will have a temperature of (Round to the nearest integer as needed.)
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A vertical glass tube of length L = 1.5m is half filled with a liquid at 20.7 C. How much will the height of the liquid column change when the tube is heated to 37.2 °C? Take aglass = 1.27x 10:5/K and Bliquid = 3.78x 105/K. Number 1.5E-4 Units My´answer is incorrect. Please show me how to get the correct answee. Piease explain the steps cleaRly and neatlys Showine; all equations and numbers to use, Thomnk you !!