An aluminium rod (̑ = 2.7 ×10³ kg/m³) has a radius of 0.01m and an initial length of 2 m at a temperature of 20°C. Heat is added to raise its temperature to 90°C. Its coefficient of linear expansion is α = 25 × 10⁻⁶/°C, the specific heat is cal = 900J/kg°C, and a thermal conductivity of k = 200J/s·m°C.
(a) What is the mass of the aluminium rod?
(b) What is the amount of heat added to the rod?
(c) What is the new length of the rod?
(d) If we were to use this rod to transfer heat between two objects one side being at 20°C and the other side at 90°C, what would the rate of heat transfer be?