A 25d kg iron stove contains 5 kg wood and 1 kg of air. All the masses are at room temperature, 20 degrees C and pressure 101 k Pa. The wood now burns and heats all the mass uniformly, releasing 1500W. Neglect any air flow and changes in mass of wood or heat losses. Find the rate of change of the temperature (dT/dt) and estimate the time it will take to reach a temperature of 75 degrees C. Assume the iron, the wood as well as the air, c(iron) = 0.42J/(kg degreeC), c(wood) = 1.38 kJ/(kg degree C), cair = 0.717 kJ/(kf degreeC).