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For the same expansion from \( M = 2 \) to \( M = 3 \), the static pressure ratio is nearest to

  • A.0.213
  • B.0.643
  • C.0.500
  • D.0.361

Answer: A

Stagnation pressure is conserved through an isentropic expansion, so the ratio is \( (1.8/2.8)^{3.5} = 0.643^{3.5} \). Taking logarithms, \( 3.5 \times \ln 0.643 = -1.546 \), so the ratio is \( 0.213 \). Pressure falls far more steeply than temperature, as the exponent of 3.5 implies.

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