$1.$ A subsonic wind tunnel with an area ratio of $1/5.$ Assume that air density is standard sea level.

a$.$ If the test section speed is $44$ ft$/$s$,$ calculate the pressure difference between the settling chamber and the test section.

b$.$ If the pressure in the settling chamber is $2200$ lb$/$ft$2,$ calculate the pressure in the test section.

c$.$ The exit of the diffuser has an area that is $7$ times the size of the test section.

d$.$ Calculate the velocity at the exit of the diffuser.

e$.$ Calculate the pressure at the exit of the diffuser.