A fictional metal of atomic weight 27 has a density of 3000 Kg m-3. The heat of fusion is 4 x 105 J kg-1 at the melting point (900 K), and at the boiling point (1300 K) the heat of vaporization is 1.20 x 107 J kg-1. Forthesolid,cp canbegivenby750+0.5TinJKg-1 K-1 andintheliquidcp is1200JKg-1 K-1 independent of temperature. (a) Draw a curve of temperature versus time as 10 g of this metal are heated at a constant rate of 1 W from 300 to 1200 K. (b) Determine the amount of heat necessary to cause this temperature change.