(a)
Interpretation:
The reason corresponding to the fact that the vapor pressure of a liquid increases as the radius of the droplet decreases is to be stated. The implications for condensation process and for atmospheric processes like raindrop formation are to be stated.
Concept introduction:
The Kelvin equation is given by an expression shown below.
Where,
•
•
•
•
•
•
•
Answer to Problem 22.27E
The vapor pressure of a liquid increases as the radius of the droplet decreases because value of natural log (
Explanation of Solution
The Kelvin equation is given by an expression shown below.
Where,
•
•
•
•
•
•
•
In the above equation, when the radius (in the denominator) of droplet decreases, the overall right hand side fraction will increase. Therefore, the value of natural log (
The vapour pressure of the initial droplet is very large during the condensation and the formation of raindrop. This leads to the increase in the rate of evaporation and makes the formation of droplet difficult. Therefore, the formation of droplets will be very slow.
The vapor pressure of a liquid increases as the radius of the droplet decreases because value of natural log (
(b)
Interpretation:
The vapor pressure of a droplet of water is to be predicted.
Concept introduction:
The Kelvin equation is given by an expression shown below.
Where,
•
•
•
•
•
•
•
Answer to Problem 22.27E
The vapor pressure of a droplet of water is
Explanation of Solution
The Kelvin equation is given by an expression shown below.
Where,
•
•
•
•
•
•
•
The molar volume of water is calculated by the density formula shown below.
It is known that the density of water is
Substitute the density of water in equation (2).
Therefore, the molar volume of water is
The radius of droplet, temperature and vapor pressure of bulk water are given as
Substitute the value of
The conversion of joule into erg is shown below.
The conversion of nm into cm is shown below.
The conversion of L into cm is shown below.
The above expression is solved as follow.
Therefore, the vapor pressure of a droplet of water is
The vapor pressure of a droplet of water is
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Chapter 22 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
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