The rate of change of energy storage (in kW) in the wall is

Question

Statement for Linked answer Q01 & Q02

A wall is heated uniformly at a volumetric heat generation rate of 1 kW/m³. the temperature distribution across the 1m thick wall at a certain instant of time is given by

      T (X) = A + BX +CX²

Where A = 900⁰C,

           B = 200c/m and

           C = –50C/m²

The wall has an area of 10m² (as shown in the fig) and a thermal conductivity of 40W/mK.

1. The rate of heat transfer (in kW) into the wall (at x = 0)

      (a) 900                            (b) 450                         (c) 120                            (d) 80

 

       2 . The rate of change of energy storage (in kW) in the wall is

      (a) 130                            (b)  120                        (c) –10                            (d) 30