Question

A small droplet, $V_{drop} = 0.1 \text{ cm}^3$ of molten silver is cooled until it solidifies via a homogeneous nucleation-and-growth process. Calculate the amount of undercooling required to initiate the onset of solidification (i.e., the temperature at which at least one viable homogeneous nuclei forms in the volume of the droplet). Melting point of silver is 1083°C; interface energy is $\gamma_{s/l} = 1.8 \times 10^{-5} \text{ J/cm}^2$; density is $\rho = 8.96 \text{ g/cm}^3$; molecular weight is 63.5 g/mole; and $\Delta H^0_{solidification} = -13.0 \text{ KJ/mole}$.

          A small droplet, $V_{drop} = 0.1 \text{ cm}^3$ of molten silver is cooled until it solidifies via a homogeneous nucleation-and-growth process. Calculate the amount of undercooling required to initiate the onset of solidification (i.e., the temperature at which at least one viable homogeneous nuclei forms in the volume of the droplet). Melting point of silver is 1083°C; interface energy is $\gamma_{s/l} = 1.8 \times 10^{-5} \text{ J/cm}^2$; density is $\rho = 8.96 \text{ g/cm}^3$; molecular weight is 63.5 g/mole; and $\Delta H^0_{solidification} = -13.0 \text{ KJ/mole}$.

A small droplet, Vdrop = 0.1 cm^3 of molten silver is cooled until it solidifies via a homogeneous nucleation-and-growth process. Calculate the amount of undercooling required to initiate the onset of solidification (i.e., the temperature at which at least one viable homogeneous nuclei forms in the volume of the droplet). Melting point of silver is 1083°C; interface energy is γs/l = 1.8 × 10^-5 J/cm^2; density is ρ = 8.96 g/cm^3; molecular weight is 63.5 g/mole; and Δ H^0solidification = -13.0 KJ/mole.

Added by Lisa C.

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