A two$-$stage alternative compressor that rotates at $1850$ rpm sucks air at $17\backslash$deg C and $0\mathrm{.}98$ bar and discharges it at $10\mathrm{.}5$

bar to a $350$ litre accumulator pond. The low pressure cylinder $($BP$)$ has a stroke of $50$mm

and a diameter of $85$ mm and sucks $500$ litres$/$min$.$ Mechanical performance is $93\%.$ The Compression Processes.

and expansion are polytropic in both stages, but with n$=1\mathrm{.}25$ in stage BP n$=1\mathrm{.}35$ in high pressure $($AP$).$ For maximum efficiency conditions, determine:

$($a$)$ BP cylinder dead space volume,

$($b$)$ Compressed air mass flow in BP cylinder $($kg$/$min$)$

$($c$)$ Volumetric flow of air sucked into the AP cylinder $($liters$/$min$)$

d$)$ Volumetric flow of air discharged into the accumulator pond $($liters$/$min$)$

e$)$ Heat to be extracted between stages BP and AP

f$)$ Mechanical power required by the compressor $($kW$)$

g$)$ Maximum air temperature

h$)$ How many minutes will it take

to fill the accumulator pond with compressed air, if initially

Are you in ambient air?