Speed of Sound in Air

Newton's formula + Laplace correction.

Concept

Speed of Sound in Air is a foundational idea in this chapter. The defining relationship is:

$v = \sqrt{\gamma P/\rho}$

Newton's formula (isothermal) ⇒ 280 m/s; corrected (adiabatic) ⇒ 332 m/s.

Worked Application

Apply the formula to a typical problem from your textbook. Identify the knowns, plug into the equation, and check that the units work out. Always sanity-check the magnitude before accepting an answer.

Common Confusions

• Confusing the variables in the formula — re-read the symbol definitions in the chapter.
• Forgetting unit conversions (cm vs m, g vs kg).
• Ignoring sign conventions where direction matters.

Key Takeaways

• Master the formula $v = \sqrt{\gamma P/\rho}$ and one canonical example.
• See the chapter index for full derivations, traps and exam-grade problems.