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Airida [17]
4 years ago
15

Calcula la velocidad del sonido en el aire a 40ºC(313ºK) y una atmosfera de presión (masa molecular del aire M=0,0288kg/mol)

Physics
1 answer:
FromTheMoon [43]4 years ago
4 0

Answer: 355.66 m/s

Explanation:

Since sound is a mechanical wave, its speed varies with the medium and its properties, such as its temperature.

So, if we want to calculate the speed of sound V in air at 40 \° C=313 K we can use the following equation that relates V with the temperature:

V=\sqrt{\frac{\gamma R T}{M}} (1)

Where:

\gamma=1.4 is the Heat capacity ratio for air

R=8.314 J/mol.K is the Universal Gas constant  

T=313 K is the air temperature in Kelvin

M=0.0288 kg/mol is the air molar mass

V=\sqrt{\frac{(1.4)(8.314 J/mol.K)(313 K)}{0.0288 kg/mol}} (2)

Finally:

V=355.66 m/s This is the speed of sound at 313 K

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