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A normal shock at \( M_1 = 2 \) stands in air at \( 250 \) K. The static temperature downstream is nearest to

  • A.250 K
  • B.540 K
  • C.300 K
  • D.422 K

Answer: D

The temperature ratio at Mach 2 is 1.688, so \( 250 \times 1.688 = 422 \) K. Note that the stagnation temperature, which is \( 250 \times 1.8 = 450 \) K on both sides, is unchanged by the shock; only the split between thermal and kinetic energy has moved.

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