The exit area of the nozzle in cm² is

Home » Thermodynamics » Thermodynamics Miscellaneous » Question

Direction: Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm². The specific heat of air c is 1008 J/kgK

The exit area of the nozzle in cm² is

1. 90.1
2. 56.3
3. 4.4
4. 12.9

Correct Option: D

From continuity equation, we get
ρ₁ A₁ V₁ = ρ₂ A₂ V₂

∴	P₁	× A₁V₁ =	P₂	× A₂V₂
	RT₁		RT₂

⇒ A₂ =	P₁T₂	×	V₂	× A₁	300 × 484	×	10	× 80 = 12.9 cm²
	P₂T₁		V₂		500 × 100		180