Which relation correctly gives the speed of sound in an ideal gas in terms of the gas…

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

Problem

Which relation correctly gives the speed

v

of sound in an ideal gas in terms of the gas constant

R

, absolute temperature

T

, molar mass

M

and ratio of specific heats

\gamma

? (a)

v = \sqrt{\dfrac{R T}{\gamma M}}

(b)

v = \gamma \sqrt{\dfrac{R T}{M}}

(c)

v = \sqrt{\dfrac{(\gamma-1) R T}{M}}

(d)

v = \sqrt{\dfrac{\gamma R T}{M}}