Discussion
At the tropopause the air temperature is about \( 216.7 \) K. The speed of sound there is nearest to
Answer: D
Applying \( a = \sqrt{\gamma R T} \) gives \( \sqrt{1.4 \times 287 \times 216.7} = \sqrt{87\,070} = 295.1 \) m/s. Equivalently, since the speed of sound goes as the square root of temperature, \( 340.2 \times \sqrt{216.7/288} = 340.2 \times 0.867 = 295 \) m/s. This is why a jet cruising at a fixed Mach number flies more slowly in true airspeed as it climbs into colder air.
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