According to Newton’s Law of Cooling, if an object at temperature T is immersed in a medium having a
constant temperature M, then the rate of change of T is proportional to the difference of the temperature T - M, which gives the differential equation
$${dT \over dt} = k(M - T)$$
where k is a real constant.

Question

According to Newton’s Law of Cooling, if an object at temperature T is immersed in a medium having a
constant temperature M, then the rate of change of T is proportional to the difference of the temperature T - M, which gives the differential equation
$${dT \over dt} = k(M - T)$$
where k is a real constant.

anonymous · Answer

Blood plasma is stored at 40°F (degrees Fahrenheit). Before the plasma can be used it must be heated to 90°F. When the plasma is taken from storage and placed in an oven at 100° it will take 50 minutes for the plasma to warm to 90°. Assume that Newton’s Law of Cooling applies and that the cooling constant k is independent of M, the temperature of the oven. How long will it take the plasma to warm if the oven temperature is set to 120°F? Give your answer correct to the nearest minute.

experimentx · Answer

integrate the above equation, and put the vlalues ot determinte the constant ... use those values to find the answer.

experimentx · Answer

also don't forget to put t=0 for initial temperature and evaluate the constant of integration.