Is the speed of sound affected when it travels threw different temperatures of air

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 G.Bourne           Is the speed of sound affected when it travels threw              18/12/01

                                            different temperatures of air

Background knowledge

            The speed of propagation of sound in dry air at a temperature of 0° C is 331.6 m/sec. If the temperature is increased, the speed of sound increases; thus, at 20° C, the velocity of sound is 344 m/sec. Changes in pressure at controlled density have virtually no effect on the speed of sound. The velocity of sound in many other gases depends only on their density. If the molecules are heavy, they move less readily, and sound progresses through such a medium more slowly. Thus, sound travels slightly faster in moist air than in dry air, because moist air contains a greater number of lighter molecules. The velocity of sound in most gases depends also on one other factor, the specific heat, which affects the propagation of sound waves.

             When a tuning fork is held over a tube, a standing wave pattern is formed in the tube. Under the right conditions constructive interference will occur at the opening to cause resonance. This is a very noticeable rise in the amplitude, or loudness, of the sound that is caused by the addition of two waves in phase with each other. One of the waves is traveling down the tube and the other is traveling back up the tube.                                                         In a closed end tube, like the ones used in this lab, there is a zero amplitude point at the closed end. For resonance to occur, a node (total destructive interference) must be located at the closed end, and an anti-node (total constructive interference) must be located at the open end. The most obvious condition to satisfy these requirements is to have ¼ of a wave in the tube. This means that the tube must be ¼ of the wavelength for the first position of resonance. The next tube length at which resonance will occur is ½ a wavelength away, or ¾ of the total wavelength. This relationship is generalized below.

L = (1/4)λ, (3/4)λ, (5/4)λ, ...,(n/4 

where n = odd integer

The wavelength of a certain frequency is twice the distance between any two resonance lengths.

The equation given above might lead you to calculate the wavelength simply as four times the length of the first resonance point, but this will give you a poor result. The anti-node of the wave falls slightly outside of the tube; just how far depends on the wavelength and tube diameter. To avoid the use of a correction factor, just calculate the wavelength as twice the difference between two resonance points.

Once you know the wavelength you can calculate the wave velocity. You already know the general equation for velocity of any wave:

V = fλ

To check your answer, calculate the wave velocity with the following equation:

V = 331.4 + 0.6T(oc)

According to this equation, sound travels at 331.4m/s at zero degrees Celsius. For every degree raise in temperature, the velocity increases by 0.6m/s.                              

Prediction              .                                                        

            I predict that the velocity of sound will increase the hotter air becomes because the density is being altered if the air is very hot then there will be a high density. The air molecules expand when heated and the air molecules become lighter. Sound can travel much quicker in lighter molecules.

so that at temperature C = F,

the speed of sound is m/s = ft/s = mi/hr.

 that at temperature C = F,

the speed of sound is m/s = ft/s = mi/hr                                                  at temperature C = F,

the speed of sound is m/s = ft/s = mi/hr.

Plan

I am going to collect evidence, which will be first-hand. I have carried out preliminary work about the best way of collecting data. In the experiment the factors which will vary is the temperature of the air which will be inside an air column, the frequency of the sound, I am going to measure the first and second resonance position, which will be three times as long as the first resonance.  

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1) Collect three-resonance tube, fill one tube with ice cold water, one with water at room temperature, and another one with boiling water.

2) Collect three different frequency tuning fork, a 1000mm measuring stick, and three open-ended air columns for each of the resonance tubes.

I am going to collect evidence by;

1) Taking the temperature inside the air column, and recording it.

2) Hitting the tuning the fork against a hard surface to make it vibrate then holding above the tube which ...

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