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

[cseet]

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

 

[marcus]

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

 

[cseet]

thanks marcus

thanks Marcus, you're a gem!
cseet