Air flows into the supersonic intake shown below at $M_0=3,T_0=220K,$ and $20$ kPa $.$

The air is turned twice through angles of $15$ degrees by a center body causing two

oblique shock waves. Following the oblique shock waves the air is processed by a

normal shock wave at the shroud entrance. Find the conditions at state $,$

and $P_3).$

$M_0=3$

$T_0=220K$

$P_0=20$kPa