Lesson 2b: deliquescence of a dry salt aerosol |
To answer this question we calculate the amount of solid
NH4NO3 in
the system across a range of relative humidities.
Select this link
to open the data input page for variable "relative humidity, or total water"
calculations using Model III
1st Calculation |
|
Note: the above should be entered on the
variable "relative humidity or total water" parametric calculations page of
Model III |
1st Graph: select the variables and enter the options as given below. | |
X Variable: "relative humidity" Range: leave blank Scale: linear (the default) |
Y Variable: "moles NH4NO3" Range: leave blank Scale: linear (the default) |
Click on the "Draw the Graph" button at the end of the page, and the plot will appear in the right frame. |
Notice that the moles of solid salt in the system drops to zero at about 61% relative humidity in a sharp transition. This is called the deliquescence point, and the value of the relative humidity at this point is the Deliquescence Relative Humidity or "DRH".
Next, plot the amount of liquid water in the system:
2nd Graph: select the variables and enter the options as given below. | |
X Variable: "relative humidity" Range: leave blank Scale: linear (the default) |
Y Variable: "moles of H2O(aq)" Range: leave blank Scale: linear (the default) |
Click on the "Draw the Graph" button at the end of the page, and the plot will appear in the right frame. |
As expected, we see that there is no liquid water below about 61% relative humidity where the system contains only solid NH4NO3(s). Immediately above 61% relative humidity we see that there are about 2.1 moles of liquid water. Here system exists as a completely aqueous solution, because we saw in the previous graph that there is no solid NH4NO3 above the deliquescence point. The moles of liquid water increase at higher relative humidities, showing that the ammonium nitrate solution is becoming more dilute, as we would expect.
The deliquescence relative humidity of a single salt is the relative humidity at which the salt takes up water and dissolves into it. This quantity is a function only of temperature for a single salt, but not for mixtures of salts, as will be shown in a later lesson.
The DRH can be looked at in another way: it is the equilibrium relative humidity above an aqueous solution that is saturated with respect to the solid it contains. Thus the concentration of the solution at the deliquescence point is the same as the solubility of the salt at that temperature. In this example the molality of the NH4NO3 at that point is - by inspection of the graphs - equal to 1.0/2.1 × (1000/18.0152) = 26.4 mol kg-1. You can verify this by plotting the molality of NH4+ or NO3− ions in the system against the relative humidity.
Proceed to Lesson 2c to learn more about the relationship between deliquescence point and salt solubility, or return to the main page for this lesson.