Discussion
The speed of sound at a static air temperature of 233 K, taking \( a = 20.05\sqrt{T} \ \mathrm{m/s} \), is approximately
Answer: D
Correct answer: 306 m/s
\[ a = 20.05\sqrt{T} = 20.05 \times \sqrt{233} = 20.05 \times 15.26 = 306\ \text{m/s.} \] The speed of sound depends on temperature alone, not on pressure or density, which is why it falls with altitude through the troposphere and then holds constant through the isothermal layer above the tropopause. 340 m/s is the sea level standard value at 288 K.
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