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Air at \( 100 \) kPa and \( M = 2 \) expands to \( M = 3 \). The static pressure afterwards is

  • A.64.3 kPa
  • B.36.1 kPa
  • C.50.0 kPa
  • D.21.3 kPa

Answer: D

The static pressure ratio for this expansion is 0.213, so \( 100 \times 0.213 = 21.3 \) kPa. Nearly four fifths of the pressure has been given up in exchange for one unit of Mach number, and none of it has been lost to entropy: the stagnation pressure is untouched.

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