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Table 1.

Saturated solutions of ammonium sulfate in water at several temperatures

Temp (°C) Grams (NH4)2SO4 required to saturate 1000 g of H2O a,b Grams (NH4)2SO4 added per liter of saturated solution c Moles (NH4)2SO4 in 1000 g of H2O Percentage by weight Molarity of saturated (NH4)2SO4 solution Apparent specific volume in saturated solution c VG/1000 c
0 706.86 514.72 5.35 41.42 3.90 0.5262 0.271
10 730.53 525.05 5.53 42.22 3.97 0.5357 0.281
20 755.82 536.34 5.73 43.09 4.06 0.5414 0.290
25 766.80 541.24 5.82 43.47 4.10 0.5435 0.294
30 777.55 545.88 5.91 43.85 4.13 0.5458 0.298
a

Note that the volume changes upon addition of solid (NH4)2SO4.

b

The degree of saturation is usually considered to be that which is calculated for the addition of a saturated solution without allowing for a volume change upon mixing. For example, 1 volume of water plus 1 volume of saturated (NH4)2SO4 is considered to yield a solution that is 0.5 (50%) saturated. According to this convention, the volume (V) of saturated (NH4)2SO4, which has to be added to 100 ml of solution of initial saturation S1 to produce a final saturation S2 is given by the equation: V=100(S2-S1)/(1-S2), where S1 and S2 are expressed as fractions of the saturated solution. For example, if S1=0.5 and S2=0.7, then V=66.67 ml.

c

When preparing more concentrated solutions of (NH4)2SO4, it is more economical and often more convenient to add the solid salt instead of a stock solution of saturated (NH4)2SO4. The weight in grams, X, to be added to 100 ml of solution of saturation S1 to yield a solution of saturation S2 may be calculated as follows: X=0.1G(S2-S1)/(1-(VG/1000)S2), where G=grams of (NH4)2SO4 in 1000 ml of saturated solution, and V=apparent specific volume of (NH4)2SO4 in a saturated solution. Values of G, V, and VG/1000 at different temperatures are given in columns 3, 7, and 8, respectively. For example, if S1 = 0.5 and S2=0.7, at 0°C, G=514.72 and VG/1000=0.271, then X=20.2 g.