The melting temperature of pure titanium = 1668°c, its density = 4.5 g/cm^3, specific heat = 0.544 j/gºc, and heat of fusion = 419 j/g. assume specific heat has the same value for solid and molten metal. the pouring temperature for titanium is 1800°c, and the starting temperature = 25°c. estimate the (a) energy for heating unit mass (1 g pure titanium) to pouring temperature and (b) total energy to heat 80 kg of the metal.

A) 1384.6 J/g

b)110.768 MJ

Explanation:

Given data:

density of titanium =  4.5 g/cm^3

specific heat = 0.544 J/g degree C

heat of fusion = 419 J/g

Pouring temperature for titanium = 1800 degree  C

Initial temperature  =  25 degree C

a) eneegy for heating unit mass is given as

   = 1384.6 J/g

b) Total energy to heat 80 kg metal

we know  for one unit  1384.6 J/g energy is required

therefore for 80 kg , energy required is

   = 110768000 J

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