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Unformatted text preview: pm 'd 1 .020 '3 [m
a» \lal—t ‘HAB‘ lV Fluid *er Problem 1: Intravenous infusions are usually driven by gravity by hanging the ﬂuid bottle at sufﬁcient height to counteract the blood pressure in the vein and to force the ﬂuid into the body. The higher the bottle is raised, the higher the ﬂow rate of the ﬂuid will be. 5, (a) If it is observed that the ﬂuid and the blood pressures balance each other when the
bottle is 1.2 m above the arm level, determine the gage pressure of the blood. _ 6 (b) If the gage pressure of the ﬂuid at the arm level needs to be 20 kPa for sufﬁcient ﬂow 7‘ rate, determine how high the bottle must be placed. Take the density of the ﬂuid to be 1020 kg/m3. bo'l'He ‘5 Problem 2: A well-stirred tank of volume V= 2 In3 shown in ﬁgure below is initially ﬁlled with brine, in
which the initial concentration of sodium chloride at t = 0 is co = 1 kg/m3. Subsequently, a
ﬂow rate of Q = 0.01 m3/s of pure water is fed steadily to the tank, and the same ﬂow rate of
brine leaves the tank through a drain. Additionally, there is an ample supply of sodium
chloride crystals in the bottom of the tank, which dissolve at a uniform rate of m = 0.02 kg/s.
It is reasonable to suppose that the volume of brine in the tank remains constant. :6 (a) Derive an expression for the subsequent concentration of sodium chloride 0 in terms of
\ co, m, t, Q, and V. \r, (b) Make a sketch of c versus t and label the main features. to (c) Assume an inexhaustible supply of crystals, what will the concentration c of sodium
chloride in the tank be at t = 0, 10, 100, and 00 seconds? Carefully deﬁne the system on which you perform a transient mass balance. 9’ Inlm A— our y/ CROOSe 4he $ds+¢m 1° ev‘cluola ‘H‘e :sd‘el 59H" V 1 m3
Kn ﬁhe 4onlc- Tkm I '—
pevf'olm a “3k- b’b‘cﬁ Q3 : 1 h: IM (3'- msSL 5°” - ‘ Separate variables X 7" ...
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This note was uploaded on 04/17/2009 for the course CHBI chbi301 taught by Professor S.k during the Spring '09 term at Kalamazoo Valley Community College.
- Spring '09