Compute the derivative of the velocity of sound with respect to the absolute temperature [re: eqn 1], and show that the differentials dv and dT obey the relation dv 1 dT [2] V 2 T Use this result to compute the percentage change in the velocity of sound when the temperature changes from 0 to 27°C. If the speed of sound is 331 m.s at 0°C what is it approximately at 27°C?

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Compute the derivative of the velocity of sound with respect to
the absolute temperature [re: eqn 1], and show that the
differentials dv and dT obey the relation
dv
1 dT
[2]
%3D
V
2 T
Use this result to compute the percentage change in the velocity
of sound when the temperature changes from 0 to 27°C. If the
speed of sound is 331 m.s at 0°C what is it approximately at
27°C?
Transcribed Image Text:Compute the derivative of the velocity of sound with respect to the absolute temperature [re: eqn 1], and show that the differentials dv and dT obey the relation dv 1 dT [2] %3D V 2 T Use this result to compute the percentage change in the velocity of sound when the temperature changes from 0 to 27°C. If the speed of sound is 331 m.s at 0°C what is it approximately at 27°C?
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