5. The temperature of a brick when it comes out of the furnace is 1,200 C. The temperature of the surrounding is 20 C, and after 10 minutes the brick temperature is 700 C. a) Using Newton's law of cooling where the change in temperature of an object over time is given by, dT dt = k(T - Ts) where T is temperature of the object, t is time, k is the rate constant and T's is the temperature of the surroundings. Find the equation for the temperature of the brick T(t). (2 marks) b) If the brick should be at least 40 'C before handling, how long should we wait? (starting from the time it comes out of the furnace)