Problem 1
a)
A mixture enters from the top of a 2 m
3
tank at 5 kg/sec, and is simultaneously
withdrawn at 3 kg/sec through a pipe at the bottom of the tank. The tank was initially
halffull of the same mixture. This process is:
(A)
continuous, transient
(B) semibatch, transient
(C) batch,
steadystate
(D) continuous, steadystate
(E) depends on the mixture composition
b)
When a burn patient comes into the emergency room, they are immediately connected
to an IV bag to replace fluids. Initially you must administer fluids at a high rate to
replenish the fluids lost in the accident, and once the patient is stabilized you will
administer at the same rate that the patient is losing fluids through evaporation from the
skin. If you are interested in writing an accounting balance to determine the rate of IV
fluid replacement during the initial period (immediately after arriving at the hospital),
(i)
Is the system
open
or
closed? (circle one)
(ii)
Is the system
steady state
or
transient
?
(iii)
Should an
algebraic,
differential,
or
integral
balance be written on the system? (explain why below)
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c)
A liquid flows through a pipe of inner diameter (
D
) 3 inches at a velocity (
u
) of 0.005
ft/sec. Its density (
ρ
) is 0.8 g/cm
3
and its viscosity (
μ
) is 0.5 centipoise (cP). The
dimensionless Reynolds number (
Re
=
Du
/
μ
) is approximately:
(A) 92
(B)
186
(C)
1503
(D) 11,288
(E) cannot be calculated
Additional Information:
1 m = 39.37 in. = 3.281 ft
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 Summer '08
 Staff
 Methane, reactor output stream, xA Sugar balance, xS Cell balance

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