Concept explainers
Interpretation: The amount of nitrogen gas released in litres is to be calculated.
Concept introduction:
The solubility of gas depends upon the pressure of a gas.
The relation between solubility and pressure of a gas is expressed as follows:
Here,
Answer to Problem 36QP
Solution:
Explanation of Solution
Given: The solubility of
in blood is
The total volume of blood in body is
In liquid, the solubility of a gas is directly proportional to the pressure of the gas, which is expressed as follows:
Here,
Substitute
for
for
So, the Henry’s law constant is
At
Substitute
for
for
So, the concentration of nitrogen in blood is
At
The number of moles of nitrogen in blood is given as follows:
Substitute
for
and
for
in equation (2) as follows:
At
The number of moles of nitrogen in blood is given as follows:
Substitute
for
and
for
in equation (3) as follows:
The amount of nitrogen released in number of moles is calculated as follows:
The ideal gas equation is represented as follows:
Here,
is the pressure,
is the volume,
is the number of moles of nitrogen,
is the gas constant, and
is the temperature.
Substitute
for
for
for
for
in equation (4) as follows:
The amount of nitrogen gas released in litres is
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Chapter 13 Solutions
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