How Do You Rearrange the Speed of Sound Equation to Solve for M in Gas?

AI Thread Summary
To rearrange the speed of sound equation for gas, start with v = sqrt[(gamma * R * T) / M]. Squaring both sides gives v² = (gamma * R * T) / M. Next, multiply both sides by M to get M * v² = gamma * R * T. Finally, divide both sides by v² to isolate M, resulting in M = (gamma * R * T) / v². This corrects the initial attempt and provides the proper formula for M.
cseet
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Hi all,

can you pls show me how you rearrange the speed of sound in gas equation from the original equation of:

v (sound) = sqr of [(gamma * R * T) / M]

I would like to find M, I tried to rearrange it to the following:

M = sq of [(gamma * R * T) / v]

pls kindly correct me with these.

thanks
cseet
 
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cseet said:
Hi all,

can you pls show me how you rearrange the speed of sound in gas equation from the original equation of:

v (sound) = sqr of [(gamma * R * T) / M]

I would like to find M, I tried to rearrange it to the following:

square both sides (in algebra you try to treat each side the same way)

v2 = (gamma * R * T) / M

multiply each side by M (doing the same thing to RHS and LHS is fair)

M * v2 = (gamma * R * T)

divide both sides by v2

M = (gamma * R * T)/ v2
 
thanks marcus

thanks Marcus, you're a gem!
cseet
 
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