A solid cube of mass m at a temperature
θ0 is heated at a constant rate. It becomes liquid at temperature
θ1 and vapour at temperature
θ2 . Let
s1 and
s2 be specific heats in its solid and liquid states respectively. If
Lf and
Lv are latent heats of fusion and vaporisation respectively, then the minimum heat energy supplied to the cube until it vaporises is