Question

need to prove that =sqrt(3kT/M)

Answer 1

is there any more info?

Answer 2

it's from kinetic molecular theory... i need to prove that \[<v>=\sqrt{3RT/M}\] where \\[R=k \times N _{a}\] and \[M= m _{0} \times N _{a}\]

Answer 3

Na -> avogadro's number, k->boldzmann constant

Answer 4

u knw that 3PV/M=Vrms^2 ?

Answer 5

\[3PV=Vrms ^{2}\]
\[Vrm ^{2}=3P divM/V\]
\[Vrms=\sqrt{3P/\rho}\]
\[V=\sqrt{3RT \Mw}\]
\[V=\sqrt{3KT/M}\]

Answer 6

any doubt in any step?

Answer 7

thanks no doubt :)

Answer 8

Huzzah, statistical mechanics. X3

Answer 9

yw :)

Answer 10

can anyone solve this i need its solution plz..
http://openstudy.com/study#/updates/4f433d23e4b065f388dc944e

Answer 11

\[E _{k} = (m v ^{2} /2) \]\[E _{k} = 3/2 kT\]
\[(m v ^{2} /2) \] = \[3/2 kT\]
\[mv ^{2}=3kt\] \[v=\sqrt{3kt/m}\]
i found another solution :)