According to Newton's Law of Cooling, the rate at which a hot object cools down depends on certain factors, including the physical properties of the object and the difference between the object's temperature and the surrounding temperature. Catherine poured hot water into a ceramic cup and measured its temperature as it cooled down in a 64-degree room. Using Newton's Law of Cooling, a formula was found to model the temperature (in degrees Fahrenheit) of the water over time, t (measured in minutes): T=w(t)=64+104.1e^−0.051t What was the starting temperature of the heated water? Answer: degrees Fahrenheit According to the equation, what will be the temperature of the water at 180 seconds? [Give your answer correct to at least three decimal places.] Answer: degrees Fahrenheit According to the equation, when will the temperature of the water be 112 degrees Fahrenheit? [Give your answer correct to at least three decimal places.] Answer: t= minutes
Energy transfer
The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.
Molar Specific Heat
Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)
Thermal Properties of Matter
Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.
According to Newton's Law of Cooling, the rate at which a hot object cools down depends on certain factors, including the physical properties of the object and the difference between the object's temperature and the surrounding temperature.
Catherine poured hot water into a ceramic cup and measured its temperature as it cooled down in a 64-degree room. Using Newton's Law of Cooling, a formula was found to model the temperature (in degrees Fahrenheit) of the water over time, t (measured in minutes):
T=w(t)=64+104.1e^−0.051t
What was the starting temperature of the heated water?
Answer: degrees Fahrenheit
According to the equation, what will be the temperature of the water at 180 seconds?
[Give your answer correct to at least three decimal places.]
Answer: degrees Fahrenheit
According to the equation, when will the temperature of the water be 112 degrees Fahrenheit?
[Give your answer correct to at least three decimal places.]
Answer: t= minutes
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