Solved

Newton's Law of Cooling States That the Temperature of an Object

Question 27

Multiple Choice

Newton's Law of Cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object itself and the temperature of its surroundings (typically the ambient temperature) . Suppose the ambient temperature is 72°F and the rate constant is 0.1 per minute.Suppose the temperature of the object is initially 107°F. What is the solution to the initial-value problem comprised of the differential equation for the temperature of the object, T(t) , at any time t and the initial condition T(0) = 107?


A) Newton's Law of Cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object itself and the temperature of its surroundings (typically the ambient temperature) . Suppose the ambient temperature is 72°F and the rate constant is 0.1 per minute.Suppose the temperature of the object is initially 107°F. What is the solution to the initial-value problem comprised of the differential equation for the temperature of the object, T(t) , at any time t and the initial condition T(0)  = 107? A)   B)   C)   D)   E)
B) Newton's Law of Cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object itself and the temperature of its surroundings (typically the ambient temperature) . Suppose the ambient temperature is 72°F and the rate constant is 0.1 per minute.Suppose the temperature of the object is initially 107°F. What is the solution to the initial-value problem comprised of the differential equation for the temperature of the object, T(t) , at any time t and the initial condition T(0)  = 107? A)   B)   C)   D)   E)
C) Newton's Law of Cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object itself and the temperature of its surroundings (typically the ambient temperature) . Suppose the ambient temperature is 72°F and the rate constant is 0.1 per minute.Suppose the temperature of the object is initially 107°F. What is the solution to the initial-value problem comprised of the differential equation for the temperature of the object, T(t) , at any time t and the initial condition T(0)  = 107? A)   B)   C)   D)   E)
D) Newton's Law of Cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object itself and the temperature of its surroundings (typically the ambient temperature) . Suppose the ambient temperature is 72°F and the rate constant is 0.1 per minute.Suppose the temperature of the object is initially 107°F. What is the solution to the initial-value problem comprised of the differential equation for the temperature of the object, T(t) , at any time t and the initial condition T(0)  = 107? A)   B)   C)   D)   E)
E) Newton's Law of Cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object itself and the temperature of its surroundings (typically the ambient temperature) . Suppose the ambient temperature is 72°F and the rate constant is 0.1 per minute.Suppose the temperature of the object is initially 107°F. What is the solution to the initial-value problem comprised of the differential equation for the temperature of the object, T(t) , at any time t and the initial condition T(0)  = 107? A)   B)   C)   D)   E)

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions