$(40$ points$)$ Liquid water at $26C$ and $10$ bar is fed to a boiler and converted at constant pressure to saturated steam.

Assume that the kinetic energy of the entering liquid is negligible and that the steam is discharged through a $15-cm$ inner diameter pipe.

Determine the heat input $)$ required to produce $20,000\frac{m^3}{h}$ of steam at the exit conditions.

Determine the temperature $(C)$ of the steam leaving the boiler.

Would the required heat input increase, decrease, or stay the same if the diameter of the output pipe increased? Justify your answer in one sentence.

Would the output temperature increase, decrease, or stay the same if the diameter of the output pipe increased? Justify your answer in one sentence.