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PSPM SP015



                     PSPM 2005/2006  SF017/2  No. 7

               10.


                                          80 C       M             N          20 C




                                                        FIGURE 12.3

                     Two  metallic  rods  M  and  N  with  similar  length  and  cross-sectional  area  are  joined
                     together  and  insulated.  At  steady  state,  the  temperatures  at  their  ends  are  shown  in
                     FIGURE  12.3.  The  thermal  conductivity  of  M  is  twice  that  of  N.  Calculate  the
                     temperature at their adjoint end.                                              [3 m]




                     PSPM 2007/2008  SF017/2  No. 7

               11.  How much heat flows through a sheet of copper 1.2 m × 0.8 m of thickness 3.0 mm for
                     1 hour if the temperatures of the surfaces are 30  C and 28 C respectively? (Given
                                                              -1
                                                                  -1
                     thermal conductivity of copper = 401 W m  K .)                                 [4 m]




                     PSPM 2011/2012  SF016/2  No. 8(b)

               12.  An  insulated  spherical  glass  bulb  of  radius  2.5  cm,  thickness  0.4  mm  whose  outer
                     surface temperature is 30 C dissipates 55 W of heat.

                                                                                    -1
                                                                                -1
                                                                                         -1
                     (a)  Given  the  thermal  conductivity  of  glass  is  0.84  J  s   m   C .  Calculate  the
                          temperature of the inner surface of the bulb.                             [3 m]

                     (b)  Sketch  a  labelled  temperature  against  distance  graph  of  the  heat  conduction
                          through the bulb.                                                         [2 m]




                     PSPM 2013/2014  SF016/2  No. 8(b)(i)

                                                                                2
               13.  Calculate the heat  transferred in  24 hours through  a 2.4 m   metal  sheet of thickness
                     1 cm when the temperature difference between the surfaces is 0.5 C. Given the thermal
                                                                      -1
                                                                  -1
                     conductivity coefficient of the metal is 16 W m K .                            [2 m]




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