A 1.67-kg block of aluminum at 21.7°C is to be melted and reshaped. How much heat must flow into the block in order to melt it?

use the following values:
For copper:
c_copper=0.386 kJ/kg.K
T_fusion=1359 K
L_fusion=205 kg/K

For aluminum:
c_aluminum=0.900 kJ/kg.K
T_fusion=932 K
L_fusion=396 kg/K

Shouldn't the units of L (the latent heat of fusion) be kJ/kg? NOT kg/K

Check the problem again. Something is wrong with those numbers.