A small water droplet of diameter \(D=100 \mu \mathrm{m}\) and temperature \(T_{\mathrm{mp}}=0^{\circ} \mathrm{C}\) falls on a nonwetting metal surface that is at temperature \(T_{s}=-15^{\circ} \mathrm{C}\). Determine how long it will take for the droplet to freeze completely. The latent heat of fusion is \(h_{s f}=334 \mathrm{~kJ} / \mathrm{kg}\).

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Air Water droplet Nonwetting metal, T D. Tmp