Why speed of sound increase in moist air but decreases in moist hydrogen?
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The speed of sound through air is given by the following formula:
Vsound=γRTM−−−−√Vsound=γRTM
Where,
R = Universal Gas Constant = 8.314 J/mol KT = Absolute TemperatureM = Molecular mass of the gas in kg/mol ≈≈ 28.95 gm/mol for O2O2 and N2N2 containing air.γγ = Adiabetic constant for the gas = 1.4 for air that mostly contains the diatomic O2O2 and N2
Going by the formula, we can say the following:
Moisture content in the air would be expected to increase the speed of sound slightly because the molecular weight of water vapor is 18 gm/mol compared to 28.95 gm/mol for dry air. A revised average molecular weight could be calculated based on the vapor pressure of water in the air.Also, the assumption of an adiabatic constant of γγ= 1.4 used for dry air is based upon the diatomic molecules N2N2 and O2O2 and does not apply to water molecules. So the detailed modeling of the effect of water vapor on the speed of sound would have to settle on an appropriate value of γγ to use. For non-critical back-of-the-envelope calculations, γγ = 1.4 will suffice.
So, to sum up, speed travels faster through moist and/or hotter air.
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The speed of sound through air is given by the following formula:
Vsound=γRTM−−−−√Vsound=γRTM
Where,
R = Universal Gas Constant = 8.314 J/mol KT = Absolute TemperatureM = Molecular mass of the gas in kg/mol ≈≈ 28.95 gm/mol for O2O2 and N2N2 containing air.γγ = Adiabetic constant for the gas = 1.4 for air that mostly contains the diatomic O2O2 and N2
Going by the formula, we can say the following:
Moisture content in the air would be expected to increase the speed of sound slightly because the molecular weight of water vapor is 18 gm/mol compared to 28.95 gm/mol for dry air. A revised average molecular weight could be calculated based on the vapor pressure of water in the air.Also, the assumption of an adiabatic constant of γγ= 1.4 used for dry air is based upon the diatomic molecules N2N2 and O2O2 and does not apply to water molecules. So the detailed modeling of the effect of water vapor on the speed of sound would have to settle on an appropriate value of γγ to use. For non-critical back-of-the-envelope calculations, γγ = 1.4 will suffice.
So, to sum up, speed travels faster through moist and/or hotter air.
Pls mark it as brainliest
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Answer:
The speed of sound through air is given by the following formula:
Vsound=γRTM−−−−√Vsound=γRTM
Where,
R = Universal Gas Constant = 8.314 J/mol KT = Absolute TemperatureM = Molecular mass of the gas in kg/mol ≈≈ 28.95 gm/mol for O2O2 and N2N2 containing air.γγ = Adiabetic constant for the gas = 1.4 for air that mostly contains the diatomic O2O2 and N2
Explanation:
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