(Solved): A two-stage reciprocating air compressor is single-acting and has complete intercooling and pressur ...

A two-stage reciprocating air compressor is single-acting and has complete intercooling and pressure ratios are equal. The compressor delivers $12\mathrm{kg}/\min$. of air at $1,52\mathrm{MPa}$. Assume that intake free air conditions are $95\mathrm{kPa}$ and $15^{?}\mathrm{C}$, and that the compression and expansion processes are reversible and polytropic with index $n=1,3(?=1,4;\mathrm{R}=0,287\mathrm{kJ}/\mathrm{kg})$. a) Calculate the power required. $(54\mathrm{kW})$ b) Calculate the isothermal efficiency. $(84,87\%)$ c) Calculate the volume of free air delivered per minute. $(10,44{\mathrm{m}}^3/\min$.) d) Calculate the heat transferred in each cylinder and the heat transferred in the intercooler per second. $(Q=11,42\mathrm{kJ}/\mathrm{s})(21,82\mathrm{kJ}/\mathrm{s})$ e) Calculate the swept and clearance volumes for the L.P cylinder if the speed is $450\mathrm{r}/\min$. and clearance ratio for the LP cylinder is $4\%$. $\left(\mathrm{SV}=0,025{\mathrm{m}}^3;{\mathrm{C}}_{\mathrm{V}}=0,001{\mathrm{m}}^3\right)$