Question

4. A 0.500 kg piece of copper at an initial temperature of 20.0°C is placed in a water bath and the temperature of the metal is raised to 100.0°C. Note: The specific heat capacity of copper is 385J/kg K and the latent heat of fusion is 2.07x1057/kg. a. How much heat was required to raise the temperature of the copper? b. How much more heat would be required to raise the copper to its melting point? C. How much heat would be required to completely melt the piece of copper, from an initial temperature of 100.0°C? d. The piece of copper in (a) is then placed in a thermally isolated container, called a calorimeter, containing 1.00 kg of water initially at 20.0°C. What is the equilibrium temperature of the copper/water system?

Answer 1

Sal Mass of Copper (m) = o.sookg Initial temperature E 2oc => Ti = 293.k. temprature is raised to = looc Tot = 373'k Heat Capacity of copper (C) = 385 JI Kg.K. latent heat of fusion Cho = 2.07 x vkg. Heat required to raise the temprature H = mc AT (0.5)(385)(373-293) = o.s) (385) (80) Sils,400 I 1.54 xlot b) Melting point of copper 108sc > I = 1358k Harz melT-TO Heat sequired (n = 10.5)(385) (1358-203) =10.5)(385) (1092) Haz 2.102 X163 To completely melt the copper from Ti = \oos > Ti=33.K. Heat = mcc7-373) + mlo = 10.5) 985)5985) +6.5)(207xos) 2.931010 ]

= حمد = 293k. In a temprature of Copper Ic 373k. Given that tembrature of Waten: 200. heat capacity of water Co= 4.182 x10 II kg.K. id the equilibrium tembrature =T. No heat is last then Heat givenby Capban = Heat absarbed Water mce Te-T) (0.5) (385) (373-T) mwcw (T-Tw) = |(4182)(1-293) 71802 - 192.5T=4182-1225326 1297128 -4374.5 I a » T = 296.52 k 23.52 cl