Answer to Question #294064 in Differential Equations for iman munaim

Question

1)The rate of cooling of a liquid in a room is given by the differential equation dP/dt =-k(P-P0),where is the temperature of the room. Show that P = Ae^-kt + P0,where is the cooling rate constant and is the integral constant.

A hot coffee at is left in a room at 20°C

(a) Find the cooling equation using this value.

(b) It is found that after 20 minutes in the room, the temperature of coffee has decreased by 20°C. Determine the temperature of coffee after 30 minutes.

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