density the mediumtemperature the medium

The resources treated the topic fairly simplified although. Is there much more to this?

Does the number of moles the molecules, the dimension of molecules and other factors also matter or is the rate of sound purely established by this two determinants (to an level that would permit a formula to it is in made)?




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The rate of sound is discovered (both mathematically and experimentally) to be: $$ v = sqrtfracPmu$$ . Let"s know this formula a little, it relies on pressure straight (although to $1/2$ power) means if we increase the pressure the speed will be boosted because more pressure means that molecules space hitting the wall surfaces of container strongly and hence are more energetic. If us make suitable assumption that molecules have the right to have only the kinetic energy and no potential energy then it"s a basic thing come conclude that more pressure method molecules room travelling much faster (therefore hitting the walls more often and strongly) and also therefore communicates or transfers the disturbance (that"s what sound is) much more quickly.

The denominator $mu$ is the mass density ( you deserve to write it together $ ho$ and simply interpret it as density), all it tells us that exactly how bulky our particles are, if they space bulkier then it would be harder to move them and hence the carry of disturbance will certainly be slower due to the fact that our disturbance will reason only a small acceleration in them. Therefore, our rate is inversely proportional come th square root of $mu$.

Now, let"s view your point

I review in multiple resources that the rate of sound depends on:

1.density of tool 2.temperature of medium .

The resources treated the topic reasonably simplified although. Is there an ext to this?

See, the density method mass every unit volume, i.e. How bulky space particles in one unit volume of the medium. If they room bulkier, climate they will move slowly.

There are legislations for gases and also which said pressure directly to temperature choose

Ideal Gas Law $PV = NkT$ .

Van der Waals Eqaution $(P + fracan^2V^2)(V-nb) = nRT$ .

For the solids, the equation changes a little, it i do not care $$ v = sqrtfracTmu$$ whereby $T$ is the stress under i beg your pardon the solid is kept. Raising the tension increases the volume which subsequently decreases the density and also hence the sound travels faster. With the increase in temperature, the heavy expands and hence the thickness goes down, therefore the wave rate goes up.

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