If the elephant were to snorkel in salt water, which is more dense than freshwater, would the maximum depth at which it could snorkel be different from that in freshwater? (a) Yes—that depth would increase, because the pressure would be lower at a given depth in salt water than in freshwater; (b) yes—that depth would decrease, because the pressure would be higher at a given depth in salt water than in freshwater: (c) no, because pressure differences within the submerged elephant depend on only the density of air; not the density of the water; (d) no, because the buoyant force on the elephant would be the same in both cases.
If the elephant were to snorkel in salt water, which is more dense than freshwater, would the maximum depth at which it could snorkel be different from that in freshwater? (a) Yes—that depth would increase, because the pressure would be lower at a given depth in salt water than in freshwater; (b) yes—that depth would decrease, because the pressure would be higher at a given depth in salt water than in freshwater: (c) no, because pressure differences within the submerged elephant depend on only the density of air; not the density of the water; (d) no, because the buoyant force on the elephant would be the same in both cases.
If the elephant were to snorkel in salt water, which is more dense than freshwater, would the maximum depth at which it could snorkel be different from that in freshwater? (a) Yes—that depth would increase, because the pressure would be lower at a given depth in salt water than in freshwater; (b) yes—that depth would decrease, because the pressure would be higher at a given depth in salt water than in freshwater: (c) no, because pressure differences within the submerged elephant depend on only the density of air; not the density of the water; (d) no, because the buoyant force on the elephant would be the same in both cases.
Part A
m
2πkT
) 3/2
Calculate the integral (v) = f vƒ (v)dv. The function f(v) describing the actual distribution of molecular speeds is called the Maxwell-Boltzmann distribution,
=
ƒ(v) = 4π (· v²e-mv²/2kT
. (Hint: Make the change of variable v² =x and use the tabulated integral foxne
integer and a is a positive constant.)
Express your answer in terms of the variables T, m, and appropriate constants.
-ax dx
n!
-
an+1
where n is a positive
(v)
=
ΕΠΙ ΑΣΦ
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