Chemistry 122 [Tyvoll] Fall 2007 Practice Problems Using Henry’s Law (not to be turned in) 1. If 27 g of acetylene, C2H2, dissolves in 1.00 L of acetone at 1.0 atm pressure, (a) what is the Henry’s law constant and (b) what is its solubility in acetone if the partial pressure of C2H2 is 12.5 atm? Solution. Begin with Henry’s Law: Sgas = KHPgas (a) Substituting, 27.0 g C2H2/1.00 L = 27.0 g/L = KH(1.0 atm) so, KH = (27.0 g/L)/( 1.0 atm) = 27.0 g/Latm (b) Sgas = KHPgas = (27.0 g/Latm)(12.5 atm) = 337.5 = 338. g/L 2. The solubility of CO2 in water is 0.161 g/100 mL at 20 0C and a partial pressure of CO2 of 760 mmHg. What partial pressure of CO2 is necessary in a soft drink canning process in order to allow the solubility of CO2 to equal 0.886 g/100 mL? Solution. Again, begin with Henry’s Law: Sgas = KHPgas (a) Sgas = KHPgas Since we have two sets of “conditions,” we can write S1/S2 = (KHP1/ KHP2) or, canceling KH, S1/S2 = (P1/P2) where, here, S2 > S1, so P2 > P1 @ (0.161 g/100 mL)/( 0.886 g/100 mL) = (760 mmHg)/(P2) or, P2 = (760 mmHg){(0.886 g/100 mL)/(0.161 g/100 mL)} = 4182 mmHg P2 = 4.18 x 103 mmHg