help me in this problem about sound please

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- anonymous

help me in this problem about sound please

- katieb

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- anonymous

##### 1 Attachment

- Astrophysics

Ok, lets do a first, did you attempt it?

- Astrophysics

\[T_{15} = 288.15 K~~~\text{and}~~~T_0 = 273.15K\] and you need to find \[\frac{ T_{15} }{ T_0 }\] at this point it's plug and chug

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- Astrophysics

Hey, are you there?

- anonymous

hey! , I'm sorry for the delay.. I was studying :( . I think that nobody was going to answer me u_u . Are you there?

- Astrophysics

Hey, did you try the problem?

- anonymous

hey, I don't know what equation i have to use . :(

- Michele_Laino

I think that we have to use this equation for the sound speed v_S:
\[\Large {v_S} = \sqrt {\frac{{\gamma RT}}{M}} \]
where R is the gas constant, \gamm is the ratio C_p/C_v between specific heats at constant pressure and volume, and M is the mass of a mole of our gas

- Michele_Laino

so we can write:
\[\Large \frac{{{v_S}\left( {{T_{15}}} \right)}}{{{v_S}\left( {{T_0}} \right)}} = \sqrt {\frac{{{T_{15}}}}{{{T_0}}}} = \sqrt {\frac{{288.15}}{{273.15}}} = ...\]

- Astrophysics

We need to use \[v_{sound} = \sqrt{\frac{ \Gamma RT }{ M }}\]
where gamma is a constant, R is gas constant, M is molecular mass of gas, and T is absolute temperature is what I can find as far as the second problem goes http://hyperphysics.phy-astr.gsu.edu/hbase/sound/souspe3.html
for the third problem it seems we will need to know the doppler effect.

- Astrophysics

Yes exactly @Michele_Laino haha!

- Michele_Laino

:) @Astrophysics we gave the answer at the same time

- Astrophysics

I was looking for the relationship as I could not recall it, but I knew it has to do with a gas constant from chemistry and it was the same one you seem to have used!

- Michele_Laino

yes! you are right!

- Astrophysics

:)

- Michele_Laino

- anonymous

thank you guys @Michele_Laino @Astrophysics .. i really appreciate your help.

- Astrophysics

Np :)

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