Niiickname
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That's true but there are nuances in the question that suggest why you average:The question is asking for quality of the steam. This should be your hint that it is saturated steam being withdrawn. The second equation is the equation for enthalpy of saturated steam that takes into account the quality of the steam.i.e.: h=hf+x(hfg)
The key to this problem is that the mixture enthalpy (h, in the above equation) is the average of the water and steam inlet enthalpies.
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