9.2 Raoult's Law and Henry's
Chapter 9 The Behavior of Solutions 1 9.2 Raoult’s Law and Henry’s Law (1) Initially evacuated vessel at T liq. A (2) spontaneously evaporate until P in the vessel ° reaches the saturated vapor pressure of liq. A, p A, at T (3) a dynamic equilibrium established between the rate of evaporation of liq. A & the rate of condensation of vapor A. 2 9.2 Raoult’s Law and Henry’s Law • re(A) α the # of A atoms in the vapor phase, ° thus, rc(A) = kp A , and at equilibrium (9.1) • Similarly, pure liquid B (9.2) re(A) rc(A) liq. A 3 9.2 Raoult’s Law and Henry’s Law (A) the effect of the small addition of liquid B to liquid A Assume (1) the composition of the surface of the liquid = that of the bulk liquid, XA, (2) the sizes of A & B atoms comparable (9.3) (9.4) 4 9.2 Raoult’s Law and Henry’s Law • From (9.1) and (9.3) gives (9.5) and from (9.2) and (9.4) gives (9.6) • Raoult’s law: the vapor pressure exerted by a component i in a solution = (the mole fraction of i in the solution) X (the saturated vapor pressure of pure liquid i ) at T of the solution. 5 9.2 Raoult’s Law and Henry’s Law • Requirements: the intrinsic rates of evaporation of A and B ≠ f(comp. of the solution) i.e., the magnitudes of the A-A, B-B, and A-B bond energies in the solution are identical 6 9.2 Raoult’s Law and Henry’s Law (B) If A-B >> A-A and B-B and a solution of A in B is sufficiently dilute: A atom at the surface surrounded only by B, A in a deeper potential E well than are the A atoms at the surface of pure liq… difficult to be lifted to vapor, evaporation rate is decreased to re(A) to re’(A) 7 9.2 Raoult’s Law and Henry’s Law (9.7) re(A) > re’(A) (9.8) ’ (9.9) • A similar consideration of dilute solutions of B in A gives ’ (9.10) • (9.9),(9.10) : Henry’ law 8 9.2 Raoult’s Law and Henry’s Law Beyond a critical value of XA, re’(A) becomes composition- dependent.
[Show full text]