A diatomic, adiabatically compressible fluid having the molecular mass of 16 is flowing through a nozzle at a temperature of 20 °C. If the velocity of the fluid is 430 m s⁻¹, the Mach Number is
Options:
(A) 0.93
(B) 0.97
(C) 1.03
(D) 1.07
Official Answer Key:
A
Step-by-Step Solution & Explanation
Speed of sound, c = √(γRT), with R (specific) = R̄/M = 8314/16 = 519.6 J/kg·K, γ=1.4 (diatomic), T=293 K. c = √(1.4×519.6×293) = √(213,180) = 461.7 m/s. Mach number = v/c = 430/461.7 = 0.93.
Section 2: Farm Machinery
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