Speed of Sound in Gases

IMPORTANT

Speed of Sound in Gases: Overview

This topic covers concepts such as Wave Velocity in Mediums, Speed of Sound Waves, Newton's Formula for Speed of Sound Waves in Gases, Laplace Correction of Newton's Relation, Pressure and Speed of Sound Wave, Humidity and Speed of Sound Wave, etc.

Important Questions on Speed of Sound in Gases

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The velocity of sound is directly proportional to the square root of the molecular mass of the gas.

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Two mono atomic ideal gases are having molecular masses 20 and 30 respectively. They are enclosed at same temperature using separate containers. The ratio of the speed of sound in gas 1 to that in gas 2 is 23.

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Consider two mono atomic ideal gases 1 and 2. They are having molecular masses M1 and M2respectively. They are enclosed at same temperature using separate containers. What is the ratio of the speed of sound in gas 1 to that in gas 2?

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The velocity of sound is independent of the molecular mass of the gas.

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Will the velocity of sound depend upon the molecular mass of the gas? 

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Sound travels fastest in

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The velocity of sound in air is independent of change in

MEDIUM
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The speed of the sound in Oxygen O2 at a certain temperature is 460 m s-1. The speed of the sound in Helium He at the same temperature will be (assume both the gasses to be ideal)

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The speed of longitudinal waves in a solid bar is given by

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What is the correct expression for the speed of the longitudinal waves?

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What was the Laplace correction for the speed of longitudinal wave in an ideal gas?

HARD
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Derive the Newton's formula for the speed of a longitudinal wave in an ideal gas.

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Why the sound waves travel faster in solids and liquids than gases?

MEDIUM
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A tuning fork sends out waves of wavelength 68.75 cm and 3 m in air and hydrogen gas respectively. If the velocity of sound in air is 330 m s-1, find the velocity of sound in hydrogen. Also, find the frequency of the tuning fork

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A student plotted the following four graphs representing the variation of velocity of sound in a gas (at constant temperature) with the pressure P. Which one is correct?

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The pressure wave, P=0.01sin1000t-3xN m2 , corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is 0°C . On some other day when temperature is T , the speed of sound produced by the same blade and at the same frequency is found to be 336 m s1 . Approximate value of T is:

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Estimate the speed of sound in air at standard temperature and pressure. The mass of 1 mole of air is 29.0×10-3 kg.

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Higher humidity of air means _____ saturation.

(Choose from: quick/slow)

MEDIUM
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In which season is the quantity of moisture in the air high? 

HARD
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The velocity of sound in hydrogen at 0°C is 1200 m s-1. When some amount of oxygen is mixed with hydrogen, the velocity decreases to 500 m s-1. Given that the density of oxygen is 16 times that of hydrogen. The ratio of H2 to O2 by volume in this mixture is n. The value of integer just before n is