Preheating Air by Steam for Use in a Dryer. An air stream at 32.2°C is to be used in a dryer and is first preheated in a steam heater, where it is heated to 65.5°C. The air flow is 1000 kg mol/h. The steam enters the heater saturated at 148.9°C, is condensed and cooled, and leaves as a liquid at 137.8°C. Calculate the amount of steam used in kg/h.

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Question:

Preheating Air by Steam for Use in a Dryer. An air stream at 32.2°C is to be used in a dryer and is first preheated in a steam heater, where it is heated to 65.5°C. The air flow is 1000 kg mol/h. The steam enters the heater saturated at 148.9°C, is condensed and cooled, and leaves as a liquid at 137.8°C. Calculate the amount of steam used in kg/h.

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Answer:[tex]m_w  = 449.04 kg/hr[/tex]Explanation:Given data:air stream temp 32.2 degree celciussteam heater is at 65.5 degree celciusflow of air 1000 kg mol/hwe know that [tex]C _{AIR}[/tex] = 29.2 Kj/KG-MOLSaturated stream is at 148.9 and from steam table hg is 2745.12 kJ/kgsaturated water us 148.9 degree  and from steam table hf = 627.46 kJ/kgthen cooled to saturated water with temperature 137.8 degree celcius and hf = 579.71 kJ/kgfrom energy balanced [tex]mC\Delta T \for\ air  = mC\Delta H [/tex][tex]1000\times 29.2\times (65.5 -32.2) = m_w\times (2745.12 - 579.71)[/tex]solving for m_w [tex]m_w  = 449.04 kg/hr[/tex]

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