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Air is expanded isentropically from \( M = 2 \) to \( M = 3 \). The static temperature ratio \( T_2/T_1 \) is nearest to

  • A.1.556
  • B.0.213
  • C.0.500
  • D.0.643

Answer: D

Since the stagnation temperature is constant, the ratio is the inverse ratio of the two stagnation-to-static factors: \( (1 + 0.2 \times 4)/(1 + 0.2 \times 9) = 1.8/2.8 = 0.643 \). The gas has cooled by more than a third simply by being accelerated.

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