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An oil with a flow rate of $1000\:kg/h$ is to be cooled using water in a double-pipe counter-flow heat exchanger from a temperature of $70^{\circ}C$ to $40^{\circ}C$. Water enters the exchanger at $25^{\circ}C$ and leaves at $40^{\circ}C$. The specific heats of oil and water are $2\:kJ\:kg^{-1}\:K^{-1}$ and $4.2\:kJ\:kg^{-1}\:K^{-1}$, respectively. The overall heat transfer coefficient is $0.2\:kW\:m^{-2}\:K^{-1}$. The minimum heat exchanger area (in $m^{2}$) required for this operation is __________
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