Suppose that 0.1 kg of liquid copper is super-cooled to by 250k where it is allowed to nucleate and solidify adiabatically(no heat is lost to the surroundings).

calculate how much copper will solidify until until the temperature recalesces to its melting point of 1356k.

the specific heats of of solid and liquid copper in j/k. mol are： c_ps = 22.64 + 5.86×10-3t = 31.4, c_pl=31.4 where t is in degrees kelvin.

the heat of fusion of copper is 13.2 kj/mol and its molecular weight is 0.0635 kg/mol

how much supercooling would be necessary in order to solidify the entire sample adiabatically?