a.
Find the amount of chemical in the lungs before breathing .
a.
Answer to Problem 13E
The amount of chemical in the lungs before breathing is
Explanation of Solution
Given :
It is given in the question that the volume of the lungs is V , the amount breathed in and out is W and the ambient concentration is
Concept Used:
In this we have to use the concept of a model of gas exchange in the lungs.
Calculation:
Initial concentration of chemical in lungs before breathing is;
= volume of lungs (V)
=
=
=
Conclusion:
b.
Find the amount of chemical breathed out.
b.
Answer to Problem 13E
The amount of chemical breathed outis
Explanation of Solution
Given :
It is given in the question that the volume of the lungs is V , the amount breathed in and out is W and the ambient concentration is
Concept Used:
In this we have to use the concept ofa model of gas exchange in the lungs.
Calculation:
The amount of chemical breathed out is given by,
=the amount breathed out(W)
=
=
=
Conclusion:
c.
Find the amount of chemical in the lungs after breathing out .
c.
Answer to Problem 13E
The amount of chemical in the lungs after breathing outis
Explanation of Solution
Given :
It is given in the question that the volume of the lungs is V , the amount breathed in and out is W and the ambient concentration is
Concept Used:
In this we have to use the concept ofa model of gas exchange in the lungs.
Calculation:
The amount of chemical in the lungs after breathing out is given by,
={the volume of the lungs(V)- the amount breathed out(W)}
Conclusion:
d.
Find the amount of chemical breathed in .
d.
Answer to Problem 13E
The amount of chemical breathed in is
Explanation of Solution
Given :
It is given in the question that the volume of the lungs is V , the amount breathed in and out is W and the ambient concentration is
Concept Used:
In this we have to use the concept of a model of gas exchange in the lungs.
Calculation:
The amount of chemical in the lungs after breathing in is given by,
={the volume of the lungs(V)-the amount breathed in(W)}
Conclusion:
e.
Find the amount of chemical in the lungs after breathing in.
e.
Answer to Problem 13E
The amount of chemical in the lungs after breathing in is
Explanation of Solution
Given :
It is given in the question that the volume of the lungs is V , the amount breathed in and out is W and the ambient concentration is
Concept Used:
In this we have to use the concept ofa model of gas exchange in the lungs.
Calculation:
The amount of chemical in the lungs after breathing in,
=[ {the volume of the lungs(V)- the amount breathed out(W) }
Conclusion:
f.
Find the concentration of chemical in the lungs after breathing in.
f.
Answer to Problem 13E
The concentration of chemical in the lungs after breathing in is 2 mmol/L.
Explanation of Solution
Given :
It is given in the question that the the volume of the lungs is V , the amount breathed in and out is W and the ambient concentration is
Concept Used:
In this we have to use the concept ofa model of gas exchange in the lungs.
Calculation:
The concentration of chemical in the lungs after breathing in= (total amount / total volume)
So, The amount of chemical in the lungs after breathing in,
=[ {the volume of the lungs(V)- the amount breathed out(W) }
And, we know that total volume of lungs is =
So, The concentration of chemical in the lungs after breathing in =
= 2 mmol/L
Conclusion:
2 mmol/L
g.
Compare this result with the result of using the general lungs discrete-time dynamical system (equation
g.
Answer to Problem 13E
The comparison is shown below and we easily compare it by seeing general lungs discrete − time system to the result.
Explanation of Solution
Given :
It is given in the question that the the volume of the lungs is V , the amount breathed in and out is W and the ambient concentration is
Concept Used:
In this we have to use the concept ofa model of gas exchange in the lungs.
Calculation :
step | In this question | In discrete-time dynamical |
a. The amount of chemical in the lungs before breathing | ||
b. The amount of chemical breathed out | ||
c. The amount of chemical in the lungs after breathing out | ||
d. The amount of chemical breathed in | ||
e. The amount of chemical in the lungs after breathing in | ||
f. The concentration of chemical in the lungs after breathing in |
Conclusion :
The comparison is shown above.
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Chapter 1 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
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