Question

Question 21 As part of his summer job at a restaurant, Jimmy learned to cook up a big pot of soup late at night before closing time, so that there would be plenty of soup to feed customers the next day. The soup had just boiled at 100°C and the surrounding temperature is constantly at 5°C. However, the temperature of the soup up to 60 C in ten minutes if Jimmy stir the soup occasionally dT k(T-7) Hint/ Petunjuk : Newton's Law of Cooling, dt where, T is the temperatu re of the object, T, is the surroundin g temperatu re, k is a constant of proportion ality, (a) By separating the variables of Newton's Law of Cooling equation, show that the general solution to the equation is T- Ae +5 Find and state the particular solution for the temperature (T) and minutes (t) after it is placed in a sink full of cold water (b) c) How long should the soup be ready so that Jimmy could put it in the fridge with temperature 20 C? (d) What will the temperature of the soup be after 1 hour? (e) Based on particular solution in (b), sketch a graph for t-0,10,34,60 minutes.

Answer 1

T-1s Aus au 1- 5e 55 k

iu (3 -0 054 L 80 = 95じ O 54 t f= 34 muudel a5e TI与