Parm B.

asked • 12/28/21

Find temperature with frequency and wavelength

A 1000-Hz sound wave is

found to have a wavelength

of 38 cm. What is the

temperature of the air

propagating this wave?

1 Expert Answer

By:

Yefim S. answered • 12/28/21

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v = λf = 0.38m·1000Hz = 380 M/s

v = √γRT/μ; γ = 1.4; R = 8.31 J/molK; μ· = 0.02897 kg/mol;.

T = v2μ/(γR) = 3802 ·0.02892/(1.4·8.31) = 359 K = 86° C

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Grigoriy S.

tutor
When we use capital T = 359 K , we mean absolute temperature. For temperature in degrees Celsius we use small t = 86° . It is incorrect to write the temperature in different units of measurements in one line using equality sign. Vot tak Efim!
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12/29/21

Yefim S.

You right, thank you
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12/29/21

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