Lesson 8a: solid/liquid equilibrium of NH4NO3
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Content
The model is used to determine the deliquescence relative humidity of
NH4NO3 for a series of different temperatures.
Part 1
The deliquescence point is obtained by calculating the water uptake
of NH4NO3 as a function of relative
humidity at a series of fixed temperatures. First, for 273.15 K:
1st Calculation |
- Select "Graph" as the form of output, and then enter the values
and options under the following headings:
- Ambient Conditions
- (1) Temperature = 273.15
- (2) Select "Relative humidity" as the variable. Start Value
= 0.45 (i.e., 45%), End Value = 0.80 (i.e., 80%),
Number of points = 50.
- Ionic Composition in Moles
- Ammonium = 1.0, Nitrate = 1.0.
- Trace Gases
- Check the NH3 and HNO3 boxes
to prevent the model from trying to partition these gases
into the vapour phase.
- Solid Phases
- There are no entries under this heading.
- Click on the "Run" button at the end of the page to do the
calculation.
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Note: the above should be entered on the
variable "relative humidity, or total water" parametric calculations page of
Model II (https://www.aim.env.uea.ac.uk/aim/model2/mod2rhw.php).
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Viewing and Interpreting the Results
A page will appear which enables you to plot various quantities
against each other, by choosing the X and Y variables, their ranges, and scales (linear or log10)
from the lists on the left hand side. Instructions, and details of
the variables, are given in the right frame.
First, plot the number of "moles of H2O(aq)" to find out at what relative humidity
the salt first begins to take up water, i.e., deliquesces:
1st Graph: select the variables and enter
the options as given below. |
X Variable: "relative humidity"
Range: leave blank
Scale: linear (the default)
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Y Variable: "moles of H2O(aq)"
Range: leave blank
Scale: linear (the default)
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Click on the "Draw the Graph" button at the end of the
page, and the plot will appear in the right frame.
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At this rather low temperature we see that the deliquescence point
lies at about 76% relative humidity. The amount of water taken up
at this relative humidity is 3.8 moles, giving a salt molality of
(1/3.8) × 1000/18.0152 = 14.6 mol kg-1.
Part 2
Next, repeat the calculation and plot from Part 1 at
both 298.15 K and 323.15 K and determine the deliquescence points and salt
concentrations at these higher temperatures.
At 298.15 K the deliquescence relative humidity and water uptake are about
62% and 2.1 moles, respectively. The molality of the salt in the
saturated solution is therefore (1/2.1) × 1000/18.0152 = 26.4 mol kg-1.
At the highest temperature, 323.15 K, the deliquescence relative
humidity is only 47%; and the 1.3 moles of water taken up give a solution
molality of (1/1.3) × 1000/18.0152 = 42.7 mol kg-1.
Interpreting the Results
From these results we see, first of all, that the deliquescence relative humidity
of NH4NO3 decreases very rapidly with increasing
temperature, more so than for any other common atmospheric compound. Why is this?
We recall first of all that the deliquescence point corresponds to the solid salt
being in equilibrium with its saturated aqueous solution. Consequently, the
concentrations we calculated above are the same as the solubilities of solid
NH4NO3(s) in water at the three temperatures. These vary
greatly: from only 14.6 mol kg-1 at 273.15 K to
42.7 mol kg-1 at 323.15 K. The equilibrium relative
humidity (equivalent to the water activity) above a salt solution decreases
with concentration. That is why the deliquescence relative humidity is so
low at 323.15 K compared to 273.15 K: the solubility of the salt is much higher
and the concentration of the saturated aqueous solution almost 3× greater.
Also, remember from Lesson 7 that the water activity coefficient of aqueous NH4NO3 solutions
has only a small dependence upon temperature. This confirms that the effects of
solution non-ideality are small for a single strong electrolyte, and that the primary influence controlling the
deliquescence relative humidity is the variation of the solubility of the solid
salt with temperature.
Proceed to Lesson 8b to learn
how the deliquescence properties of ammonium sulphate vary with temperature,
or return to the
main page for this lesson.