Table 1.
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 |
Note that the volume changes upon addition of solid (NH4)2SO4.
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.
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.