Deposition onto the crystal in the previous problem also involves the release of latent heat of fusion in the amount of \(6 \mathrm{~kJ} / \mathrm{mole}\). The thermal conductivity and heat capacity of the solution can be taken to be that of water while the thermal conductivity and heat capacity of the solid is \(2 \mathrm{~W} / \mathrm{m} \mathrm{K}\) and \(850 \mathrm{~J} / \mathrm{kg} \mathrm{K}\). Assuming a uniform temperature inside the crystal and a stagnant solution, estimate that temperature as a function of time assuming the uniform growth rate of the previous problem. At what size does the assumption of uniform internal temperature fail if the starting temperature at \(1 \mathrm{~mm}\) is \(35^{\circ} \mathrm{C}\) and the solution temperature is held constant at \(25^{\circ} \mathrm{C}\) ?