Please calculate the following using the data below and the test results in the attached image $(2$ stage compressor$)$:

$1.$ Isentropic horsepower $($Isen$.$ HP$).$

$2.$ Isothermal horsepower $($Iso$.$ HP$).$

$3.$ Isentropic Efficiency $($Isen$.$ Eff$)$

$4.$ Isothermal efficiency $($Iso Eff$).$

$5.$ Volumetric efficiency $($Vol Eff$).$

APPARATUS:

Note: Motor: Hascon $220$V$,50$Hz$,3$HP$,2\mathrm{.}2$ KW$,8\mathrm{.}91$A$,1430$RPM

Air compressor: $1$st stage SB$10/90$ bore $65$mm$,$ stroke $44$mm $($twin cylinders, $90$ degree phase shift$)$

$2$nd stage SA$1/36$ bore $51$mm$,$ stroke $42$mm$.$

Data

Airbox orifice $=15$mm

Atmospheric pressure,P$=1033$bar$=1\mathrm{.}033$kg$/$cm$^2$

Inclined manometer slope$=1$:$5$

Air box diameter$=300$mm