Carbon dioxide enters an adiabatic nozzle at 1200 K with a velocity of 75 m/s and leaves at 400 K. Assume constant specific heats at room temperature. Determine the Mach number at the inlet. The gas constant of carbon dioxide is R = 0.1889 kJ/kg·K and k = 1.288. The Mach number at the inlet is

Question

Riley Good

Chemistry

21 November, 21:26

Carbon dioxide enters an adiabatic nozzle at 1200 K with a velocity of 75 m/s and leaves at 400 K. Assume constant specific heats at room temperature. Determine the Mach number at the inlet. The gas constant of carbon dioxide is R = 0.1889 kJ/kg·K and k = 1.288. The Mach number at the inlet is

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Baylee Nichols · Answer 1

The Mach number at the inlet is 0.14

Explanation:

Mach number = v/a

v = 75 m/s

a = sqrt (kRT)

k = 1.288

R = 0.1889 kJ/kg. K = 0.1889*1000 = 188.9 J/kg. K

T = 1200 K

a = sqrt (1.288*188.9*1200) = sqrt (291963.84) = 540.34 m/s

Mach number = 75m/s : 540.34m/s = 0.14