SOLUTION: A hot bar of iron at 1100 degrees Fahrenheit is quenched in oil at 350 degrees. After 2 minutes, the temperature of the iron is 750 degrees.
(a) Find the value for k in Newton's
Algebra.Com
Question 1176052: A hot bar of iron at 1100 degrees Fahrenheit is quenched in oil at 350 degrees. After 2 minutes, the temperature of the iron is 750 degrees.
(a) Find the value for k in Newton's Law of Cooling. Round your answer to the nearest thousandth.
k= ?
(b) What will the temperature of the iron be after 10 minutes? Round your answer to the nearest degree.
? degrees Fahrenheit
(c) How long will it take for the iron to reach 400 degrees? Round your answer to the nearest tenth of a minute.
? minutes
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
T(t)=Ts+(To-Ts)*e^(-kt)
at 2 minutes
750=350+(1100-350)*e^(-k*2)
400=750*e^(-2k)
(8/15)=e^(-2k)
ln both sides
-0.6286=-2k
k=0.3143
-
at 10 minutes e^(-kt)=e^(-3.143)=0.04315
(750)*0.04315 = 32.36 degrees, so the temperature will be 382 degrees F.
-
at 400 degrees
400=350+(750*e^(-0.3143t)
(1/15)=e^(-0.3143t)
ln both sides
-2.708=-0.3143t
t=8.6 minutes.
RELATED QUESTIONS
A hot bar of iron at 1100 degrees Fahrenheit is quenched in oil at 350 degrees. After 2... (answered by ewatrrr)
A frozen tenderloin initially has a temperature of 29 degrees Fahrenheit. It is left to... (answered by stanbon)
Celsius to Fahrenheit. Water freezes at 0 degrees C or 32 degrees F and boils at 100... (answered by rfer)
After an oven is turned on, its temperature T, is represented by the equation
T = 420 - (answered by ewatrrr)
The temperature, T, in degrees Fahrenheit, in a car's radiator during the first 4 minutes (answered by vleith)
A cup of coffee is heated to 160 degrees Fahrenheit and placed in a room that maintains a (answered by solver91311)
Ice forms at a temperature of 0 degrees celsius, which corresponds to a temperature of 32 (answered by Alan3354)
The speed of sound in air s, in ft/s, is given by the formula s=1005+1.1t, where t is the (answered by rfer)
Police arrive at a murder scene at 2:00 AM and immediately record the body’s temperature... (answered by ewatrrr)