4. The one-particle speed distribution, Ø₁(u) is given by an expression $1 ₁(v) = 4π =4(2mm) Derive an expression for (i) most probable speed. (mp) (ii) ensemble average speed. (iii) root mean square speed. 3/2 v²e-mu²/2kT 2k (iv) compare these three speed values. 8kT MIT (v) mean inverse speed. V
4. The one-particle speed distribution, Ø₁(u) is given by an expression $1 ₁(v) = 4π =4(2mm) Derive an expression for (i) most probable speed. (mp) (ii) ensemble average speed. (iii) root mean square speed. 3/2 v²e-mu²/2kT 2k (iv) compare these three speed values. 8kT MIT (v) mean inverse speed. V
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Transcribed Image Text:4. The one-particle speed distribution, Ø₁(u) is given by an expression
$1
₁(v) = 4π
=4(2mm)
Derive an expression for
(i) most probable speed. (mp)
(ii) ensemble average speed.
(iii) root mean square speed.
3/2
v²e-mu²/2kT
2k
(iv) compare these three speed values.
8kT
MIT
(v) mean inverse speed.
V
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