At STP, the pressure of air is and its density is . Taking , calculate the percentage…

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

Problem

At STP, the pressure of air is

1.013\times10^{5}\,\text{Pa}

and its density is

1.29\,\text{kg\,m}^{-3}

. Taking

\gamma = 1.4

, calculate the percentage by which Newton’s predicted speed of sound differs from Laplace’s value for air at

0^{\circ}\text{C}

. (a)

28.6\%

(b)

15.4\%

(c)

18.3\%

(d)

9.8\%