The speed of sound in dry air at (with ) is

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The speed of sound in dry air at

300\,\text{K}

(with

\gamma=1.40

) is

340\,\text{m\,s}^{-1}

. The air is then heated to

360\,\text{K}

, and because of increased humidity its ratio of specific heats falls to

\gamma=1.33

. What is the new speed of sound in the air? (a)

388\,\text{m\,s}^{-1}

(b)

331\,\text{m\,s}^{-1}

(c)

363\,\text{m\,s}^{-1}

(d)

372\,\text{m\,s}^{-1}