Quantitative Changes in Equilibrium systems Reminders: -temperature affects K -we are only looking at closed systems -Large K = lots of products; K= 1 is equilibrium, small K = lots of reactants Reaction Quotient (Q) -used if concentrations are known and want to know if system is at equilibrium or which direction the reaction will proceed in if not at Eq -To find Q: substitute current concs. into equilibrium law equation and solve -Q is like K but concs aren’t necessarily at equilibrium If: 1. Q = K 2. Q > K 3. Q < K system is at Equilibrium reaction must shift to reverse (left/reactants) to get to Eq reaction must shift to forward (right/products) to get to Eq Example #1: Calculating equilibrium concentrations from knowns: Sulfur trioxide is a compound used in the production of sulfuric acid. It is produced by reacting sulfur dioxide with oxygen according to the following equation: Calculate the equilibrium concentration of oxygen if 1.50mol/L sulfur dioxide and 3.50mol/L sulfur trioxide are found in an equilibrium mixture of this system at 600 K. K for the reaction at this temperature is 4.30. Example #2: Calculating equilibrium concentrations from initial concentrations (ice table!!) When hydrogen reacts with fluorine, hydrogen fluoride is formed according to the following equation: The equilibrium constant K is 1.5 x 102 at SATP. Calculate the concentrations of all entities at equilibrium if 4.00mol of hydrogen, 4.00mol of fluorine and 6.00mol of HF are initially placed into a 2.00L reaction vessel. Example #3: Calculating equilibrium concentrations when K is very small (imperfect squares) Nitrosyl chloride, NOCl decomposes to form nitrogen monoxide and chlorine gas according to the following equation: At 35 Celsius, Keq is 1.60 x 10-5 . Calculate the concentration of all entities at equilibrium if 0.80mol NOCl is placed in an evacuated 2.00L container at this temperature and allowed to reach equilibrium. Example #4: Calculating equilibrium concentrations involving a Quadratic equation. When hydrogen and iodine are placed in a closed container at 440 Celsius, they react to form hydrogen iodide. At this temperature, the equilibrium constant, K is 49.7. Determine the concentrations of all entities at equilibrium if 4.00mol of hydrogen and 2.00 mol of iodine are placed in a 2.00 L reaction vessel.