Question

Calculate the velocity of sound at 27°C in air saturated with water vapor. Given, the velocity of sound in dry air at 0°C is 332 m/sec and saturated vapor pressure at 27°C is 11.2 mm Hg? [Ans 352 m/sec]

Answer 1

Answer:

Speed of sound in saturated vapor pressure is 350 m/s

Explanation:

As we know that the vapor is saturated so we have

$f = 0.0112$

now we know that

$c_m = c_d\sqrt{\frac{P}{P - 0.385 f}}$

here we know that

$c_d = c\sqrt{\frac{T_1}{T_0}}$

$c_d = 332\sqrt{\frac{300}{273}}$

$c_d = 348.03$

now from above equation we have

$c_m = 348.03\sqrt{\frac{0.76}{0.76 - 0.385(0.0112)}}$

$c_m = 350 m/s$

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Topic : Speed of sound in air

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