A container having volume $282.7 \mathrm{~cm}^{3}$ and total surface area $245 \mathrm{~cm}^{2}$ is completely filled with milk whose initial temperature is $25^{\circ} \mathrm{C}$. The continually stirred milk container is suddenly exposed to a steam bath at $100^{\circ} \mathrm{C}$. The overall heat transfer coefficient between steam and milk is $1136 \mathrm{~W} \mathrm{~m}^{-2} \mathrm{~K}^{-1}$. The properties of milk are: specific heat capacity $=3.9 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1},$ thermal conductivity $=0.54 \mathrm{~W} \mathrm{~m}^{-1} \mathrm{~K}^{-1}$ and density $=1030 \mathrm{~kg} \mathrm{~m}^{-3}$. Neglecting thermal resistance and heat capacity of container walls, the necessary time required in seconds to heat milk up to the temperature of $85^{\circ} \mathrm{C},$ will be________________
A container having volume $282.7 \mathrm{~cm}^{3}$ and total surface area $245 \mathrm{~cm}^{2}$ is completely filled with milk whose initial temperature is $25^{\circ} \mathrm{C}$. The continually stirred milk container is suddenly exposed to a steam bath at $100^{\circ} \mathrm{C}$. The overall heat transfer coefficient between steam and milk is $1136 \mathrm{~W} \mathrm{~m}^{-2} \mathrm{~K}^{-1}$. The properties of milk are: specific heat capacity $=3.9 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1},$ thermal conductivity $=0.54 \mathrm{~W} \mathrm{~m}^{-1} \mathrm{~K}^{-1}$ and density $=1030 \mathrm{~kg} \mathrm{~m}^{-3}$. Neglecting thermal resistance and heat capacity of container walls, the necessary time required in seconds to heat milk up to the temperature of $85^{\circ} \mathrm{C},$ will be________________