(Solved): 2. A two-stage, double-acting compressor is to deliver 90lb/min of air from 14.3psia and 90F to ...

2. A two-stage, double-acting compressor is to deliver $90\mathrm{lb}/\min$ of air from $14.3\mathrm{psia}$ and 90F to a final pressure of 185 psia. The normal barometer is 29.8in.Hg and the temperature is $80\mathrm{F}$. The pressure drop in the intercooler is 3psi and the temperature of the air at the exit of the intercooler is $90\mathrm{F}$, the speed is $210\mathrm{rpm}$ and $P{V}^{1.34}=C$ during compression and expansion. The clearance is $5\%$ for both cylinders. The temperature of the cooling water increase by 18F. Find (a) the volume of free air, (b) the discharge pressure of the low pressure cylinder for minimum work (c) the temperature at discharge from both low and high pressure cylinders, (d) the mass of cooling water to be circulated about each cylinder and through the intercooler, (e) the work, and (f) if, for the low pressure cylinder, L/D $=0.68$ and if both cylinders have the same stroke, what should be the cylinder dimensions? (60pts)