GATE XE (Engineering Sciences) 2024 - Question 83

Section: Thermodynamics | Type: NAT | Marks: 2

Air (assumed as an ideal gas) with a mass flow rate of 2.5⁡kg/s enters a horizontal nozzle at 350⁡K, 350⁡kPa with a velocity of 3⁡m/s. The air exits the nozzle at a pressure of 101.5⁡kPa and temperature 305⁡K with a Mach number of 9 7 . Assuming steady state operation and constant properties given in the data, the ratio of inlet area to exit area required to satisfy the exit condition is ___________ (rounded off to one decimal place). Use the following data: 𝛾= 1.4, 𝑐𝑝= 1.011⁡kJ/kg.K, ⁡⁡𝑅= 0.287⁡kJ/kg.K

Answer: 49.0 to 51.0