Calculate Air Temperature for 4th of July Fireworks Using Speed of Sound Formula

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Test On Monday...please help!

Homework Statement


My home is exactly 7.8 km from the Stadium where the 4th of July fireworks are held. The time difference between when I see a flash and when I hear the corresponding sound is 22.4073542085608 s. What is the temperature (in degrees Celsius) of the air?


Homework Equations


Vsound = sqrt (GAMMA * R * T) / M


The Attempt at a Solution


T = 20 degrees Celsius + 273 = 293
V = 7800/22.4073542085608 = 348.1 m/s

T = Vsound^2 * M / GAMMA * R

But I don't know M, GAMMA, or R?
 
on Phys.org
BuBbLeS01 said:
The time difference between when I see a flash and when I hear the corresponding sound is 22.4073542085608 s.
With 16 significant figures, whoever devised this problem has a sense of humor. :rolleyes:

Nonetheless...

R is a universal constant; gamma and M are constants specific to air. Read all about it here: http://hyperphysics.phy-astr.gsu.edu/hbase/sound/souspe3.html#c1"

Astronuc beat me to it!
 
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lol I know I love the 16 sig figs. So I understand that...but she showed us this way...
T = ((vsound - 331 m/s) / 0.6 m/s) °C
= ((348.1 m/s - 331 m/s) / 0.6 m/s) °C
= 28.5 °C

And I am don't know where she got that equation and some of the numbers from?
 
BuBbLeS01 said:
And I am don't know where she got that equation and some of the numbers from?
The link I provided derives that exact equation.
 
oh yea I am sorry I didn't scroll down.
 
can someone please help me?
 

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