The density of air in kg/m³ at the nozzle exit is

Given: T₁ = 400 K, P₁ = 300 kPa,
P₂ = 50 kPa, R = 0.289 kJ/kgK
v = 1.4, A₂ = 0.005 m²
Process from entrance to exit is isentropic process, therefore

T₁	=		P₂		^γ-1/_γ
T₂			P₁

⇒ t₂ = 400		50		^0.4/1.4	= 239.5 K
		P₁

From the perfect gas equation,

ρ =	P
	RT

ρ₂ =	P₂	=	50	= 0.727 kg/m³
	RT₂		0.287 × 239.5