A lagged stick of cross section area 1cm2 and length 1 m is initially at a temperature of 10°C. It is then kept between 2 reservoirs of temperature 100°C and 0°C. Specific heat capacity is 10 J/kg°C and linear mass density is 2 kg/m. Find

(a) Temperature gradient along the rod in steady state.
(b) Total heat absorbed by the rod to reach steady state.