A long hot mechanically polished stainless steel sheet (c p = 450 J/kgK, = 7900 kg/m

Question:

A long hot mechanically polished stainless steel sheet (c_p = 450 J/kg∙K, ρ = 7900 kg/m³) is being conveyed at 2 m/s through a water bath to be cooled. The 0.5-m-wide and 5-mm-thick stainless steel sheet has a temperature of 125°C as it enters the water bath. The length of the sheet submerged in water is 1 m as it is being conveyed through the water bath. As the hot sheet enters the water bath, boiling would occur at 1 atm. In order to prevent thermal burn on people handling the sheet, it must exit the water bath at a temperature below 45°C. Is the rate of heat that could be removed from the stainless steel sheet in the water bath sufficient to cool it to below 45°C as it leaves the water bath?