Biomedical Engineering Reference
In-Depth Information
which gives
2
4
3
5
¼
2
4
3
5
B
1
B
2
B
3
B
4
B
5
8
:
84
2259
:
15
0
004
1870
380
:
:
3
and
u
ð
t
Þ
e
45:84
t
e
0:94
t
þ
e
0:18
t
þ
e
1:1
t
þ
e
0:91
t
q
3
¼
0
:
004
2259
:
15
8
:
84
380
:
3
1870
7.9 EXERCISES
1.
Determine the number of
Na
þ
and
K
þ
ions inside a cell with a volume of 1 nL and
concentrations given in Table 7.2.
2.
Suppose the concentrations of
K
þ
are 20, 52, and 158 mM/L, respectively.
Determine the number of ions in a cell of 2 nL.
3.
A cell with a volume of 1.5 nL contains 2
Na
þ
,
Cl
, and
10
14
molecules of
K
þ
and 1
10
13
molecules of
:
5
Na
þ
. What is the concentration for each ion?
4.
Two compartments, with volumes
V
2
, are separated by a thin membrane, and solute
moves from one compartment to the other by diffusion. If an amount z of solute is dumped
into compartment 1 at
V
1
and
0, then find the concentration in each compartment.
5.
Two compartments, with volumes
t
¼
V
2
, are separated by a thin membrane, and solute
moves from one compartment to the other by diffusion. If an amount z of solute is dumped
into compartment 2 at
V
1
and
0, then find the concentration in each compartment.
6.
Two compartments, with equal volumes of 0
t
¼
0572 cm
3
, are separated by a thin membrane,
and solute moves from one compartment to the other by diffusion. If all of the solute is
initially dumped into one compartment, then find the transfer rate if the time constant equals
27
:
10
3
s
1
:
7.
A system is given by two compartments separated by a thin membrane, and solute moves
from one compartment to the other by diffusion. The volume of compartment 1 is 0
:
1cm
3
and
10
3
s
1
. Suppose 3 g of solute is dumped
into compartment 2. Solve for the concentration in both compartments.
8.
A system is given by two compartments separated by a thin membrane, and solute moves
from one compartment to the other by diffusion. Suppose the volume of compartment 1
equals 0
compartment 2 is 0
:
3cm
3
. The transfer rate is 2
:
0
0572 cm
3
and is twice as large as compartment 2. If 100 g of solute is dumped into
compartment 2, then solve for the concentration in both compartments for an arbitrary
transfer rate
:
).
9.
A system is given by two compartments separated by a thin membrane, and solute moves
from one compartment to the other by diffusion. The volume of compartment 1 is 0
K
(where the solution is expressed in terms of
K
0572 cm
3
:
0286 cm
3
. Suppose 100 M of solute is dumped into compartment 2,
and compartment 2 is 0
:
u
ð
t
Þ
cm
3
.
e
0:015
t
and the concentration response for compartment 2 is
c
2
ð
t
Þ¼
1165
:
67
þ
2331
:
3
(a) Find the transfer rate. (b) Solve for the concentration in compartment 1.
