dense gas makes sound travel faster?

[murfettie]

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but on BR physics pg 6 book 2 in sound.
there is this eq
v = sqrt (constant*pressure/density)

so from this eq, it seems if density goes up, v goes down?
but conceptually, i understand that if you got more molecules in dense air, they can vibrate then return to their originally state quickly and pass it on quickly as well. Ie: solid passes sound at the fastest velocity..

i'm a little confused.
thanks.

the question is from BR class hand-out.

 

[Phantastic]

Yes, the density will slow the speed of the wave. Usually however, an increase in density comes with a proportionally greater increase in modulus of elasticity(?), and will therefore the net effect is to increase the speed of the wave.

I believe that's how it's been explained in other threads.

 

[MLT2MT2DO]

Yes, the density will slow the speed of the wave. Usually however, an increase in density comes with a proportionally greater increase in modulus of elasticity(?), and will therefore the net effect is to increase the speed of the wave.

I believe that's how it's been explained in other threads.

This is correct...the wave disperses a medium, the greater the modulus of elasticity the quicker the medium is restored. That is how I understand it

 

[pineappletree]

I asked the EXACT same thing a few weeks ago

I know that it helps to deduce it and all, but I kinda wish the BR book would explain that

 

[Don Draper]

Seems like another case of BR jumping into the deep end when its unnecessary.