(a) Explain why in a gas of N molecules, the number of molecules having speeds in the finite interval u to u u is N N f uu uf(u) du (b) If u is small, then f (u) is approximately constant over the interval and N N f (u) u For oxygen gas (O2, molar mass 32 0 g mol) at T 300 K, use this approximation...

IDENTIFY fvdv is the probability that a particle has a speed between v and vdv Eq1832 gives fv V ...

(a) Explain why in a gas of N molecules, the number of molecules having speeds in the...

Question:

(a) Explain why in a gas of N molecules, the number of molecules having speeds in the finite interval u to u + Δ u is Δ N = N f uu + Δuf(u) du.
(b) If Δ u is small, then f (u) is approximately constant over the interval and Δ N = N f (u) Δ u. For oxygen gas (O2, molar mass 32.0 g/mol) at T = 300 K, use this approximation to calculate the number of molecules with speeds within Δ u = 20 m/s of ump' Express your answer as a multiple of N.
(c) Repeat part (b) for speeds within Δ u = 20 m/s of 7ump.
(d) Repeat parts (b) and (c) for a temperature of 600 K.
(e) Repeat parts (b) and (c) for a temperature of I50 K.
(f) What do your results tell you about the shape of the as a function of temperature? Do your conclusions agree with what is shown in Fig. 18.26? Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...