as I see the system
total heat load (30MMBTU/hr) Q = sensible heat Qs + latent heat Ql
latent heat corresponds to the production of steam by vaporization; massflow balance is :
m1 (water kg/h at inlet) =m2 (kg/h steam) + m3 (water kg/h at outlet)
So heat balance should be: Q = m3 x Cp x (T_v - T_inlet) + m2 x h_v x Delta_W
Delta_W = change of vapour content ; I think this should be put to 1 but not sure
T_v = Temperature of vaporization at 60psig (steam tables).
Then basically knowing 'h_v, T_v, T_inlet' you are looking for m2 and m3 ; knowing the hours you can calculate back the amount of steam generated _ do you agree ?
This how I see the problem; I may have misunderstood the question; anyhow if someone can point out any flaw in this, thanks.
Sorry for using S.I units.
Therefore I think the question cant be answered without knowing the total flow of water at inlet ; the rated capacity of the heat exchanger that is down could be used
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