At a temperature of 27.0ºC, what is the speed of longitudin…

Physics Wave and Sound Mix MCQ (Single Correct)

At a temperature of 27.0ºC, what is the speed of longitudinal waves in

hydrogen (molar mass 2.02 g/mol)? ,

helium (molar mass 4.00 g/mol)? and

argon (molar mass 39.9 g/mol)? with the speed in air at the same temperature.

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Text Solution

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The correct answer is:

CHECK THE SOLUTION.

Using Eq. v = (speed of sound in an ideal gas),

= 1.32 × 10 3 m/s

v He =

= 1.02 × 10 3 m/s

v Ar =

= 323 m/s.

At T = 300.15 K gives v air = 348 m/s, and so = 3.80 v air , v He = 2.94 v air and v Ar = 0.928 v air .

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