A heat brick is heated and then allowed to cool. In 2 hours, the brick transfers 82000J of energy to the surroundings.
The mass of the brick is 2kg.
The specific heat capacity of the brick is 600 J/kg°C.
The brick is heated to an initial temperature of 150°C.
Calculate the temperature of the brick after 2 hours.

(Include working out)

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.