General orrganic and biological chemistry structures off liffe 5th by karen timberlake10 worked examples

Sample Problem 10.1 Factors That Affect the Rate of Reaction Indicate whether the following changes will increase, decrease, or have no effect on the rate of reaction: a increasing the temperature b increasing the number of reacting molecules c adding a catalyst Solution a A higher temperature increases the kinetic energy of the particles, which increases the number of collisions and makes more collisions effective, causing an increase in the rate of reaction b Increasing the number of reacting molecules increases the number of collisions and the rate of the reaction c Adding a catalyst increases the rate of reaction by lowering the activation energy, which increases the number of collisions that form product Study Check 10.1 How does using an ice blanket on a patient affect the rate of metabolism in the body? Answer Lowering the temperature will decrease the rate of metabolism General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.2 Reaction Rates and Equilibrium Complete each of the following with equal or not equal, faster or slower, change or not change: a Before equilibrium is reached, the concentrations of the reactants and products b Initially, reactants placed in a container have a _ rate of reaction than the rate of reaction of the products c At equilibrium, the rate of the forward reaction is _ to the rate of the reverse reaction Solution a Before equilibrium is reached, the concentrations of the reactants and products change b Initially, reactants placed in a container have a faster rate of reaction than the rate of reaction of the products c At equilibrium, the rate of the forward reaction is equal to the rate of the reverse reaction Study Check 10.2 Complete the following statement with change or not change: At equilibrium, the concentrations of the reactants and products _ Answer At equilibrium, the concentrations of the reactants and products not change General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.3 Writing Equilibrium Constant Expressions Write the equilibrium constant expression for the following reaction: Solution Step Write the balanced chemical equation Step Write the concentrations of the products as the numerator and the reactants as the denominator Step Write any coefficient in the equation as an exponent General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.3 Writing Equilibrium Constant Expressions Continued Study Check 10.3 Write the equilibrium constant expression for the following reaction: Answer General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.4 Calculating an Equilibrium Constant The decomposition of dinitrogen tetroxide forms nitrogen dioxide What is the numerical value of Kc at 100 °C if a reaction mixture at equilibrium contains 0.45 M N2O4 and 0.31 M NO2? Solution Step State the given and needed quantities Step Write the Kc expression for the equilibrium General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.4 Calculating an Equilibrium Constant Continued Step Substitute equilibrium (molar) concentrations and calculate Kc Study Check 10.4 Calculate the numerical value of Kc if an equilibrium mixture contains 0.040 M NH3, 0.60 M H2, and 0.20 M N2 Answer Kc = 27 General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.5 Calculating Concentration Using an Equilibrium Constant For the reaction of carbon dioxide and hydrogen, the equilibrium concentrations are 0.25 M CO 2, 0.80 M H2, and 0.50 M H2O What is the equilibrium concentration of CO(g)? Solution Step State the given and needed quantities Step Write the Kc expression for the equilibrium and solve for the needed concentration General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.5 Calculating Concentration Using an Equilibrium Constant Continued We rearrange Kc to solve for the unknown [CO] as follows: Multiply both sides by [CO2][H2] Divide both sides by [H2O] Step Substitute the equilibrium (molar) concentrations and calculate the needed concentration General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.5 Calculating Concentration Using an Equilibrium Constant Continued Study Check 10.5 When the alkene ethene (C2H4) reacts with water vapor, the alcohol ethanol (C2H5OH) is produced If an equilibrium mixture contains 0.020 M C2H4 and 0.015 M H2O, what is the equilibrium concentration of C2H5OH? At 327 °C, the Kc is 9.0 × 103 Answer [C2H5OH] = 2.7 M General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.6 Using Le Châtelier’s Principle Methanol, CH3OH, is finding use as a fuel additive Describe the effect of each of the following changes on the equilibrium mixture for the following reaction: 2CH3OH(g) + 3O2(g) a b c d e 2CO2(g) + 4H2O(g) + 1450 kJ adding more CO2 adding more O2 increasing the volume of the container increasing the temperature adding a catalyst Solution a When the concentration of the product CO2 increases, the equilibrium shifts in the direction of the reactants b When the concentration of the reactant O2 increases, the equilibrium shifts in the direction of the products c When the volume increases, the equilibrium shifts in the direction of the greater number of moles of gas, which is the products d When the temperature is increased for an exothermic reaction, the equilibrium shifts in the direction of the reactants to remove heat e When a catalyst is added, there is no change in the equilibrium mixture General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc Sample Problem 10.6 Using Le Châtelier’s Principle Continued Study Check 10.6 Describe the effect of each of the following changes on the equilibrium mixture for the following reaction: 2HF(g) + Cl2(g) + 357 kJ 2HCl(g) + F2(g) a adding more Cl2 b decreasing the volume of the container c increasing the temperature Answer a When the concentration of the reactant Cl2 increases, the equilibrium shifts in the direction of the products b There is no change in equilibrium mixture because the moles of reactant are equal to the moles of product c When the temperature for an endothermic reaction increases, the equilibrium shifts to remove heat, which is in the direction of the products General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake © 2016 Pearson Education, Inc  ... reactants and products _ Answer At equilibrium, the concentrations of the reactants and products not change General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen C Timberlake... N2O4 and 0.31 M NO2? Solution Step State the given and needed quantities Step Write the Kc expression for the equilibrium General, Organic, and Biological Chemistry: Structures of Life, 5/e Karen. .. sides by [CO2][H2] Divide both sides by [H2O] Step Substitute the equilibrium (molar) concentrations and calculate the needed concentration General, Organic, and Biological Chemistry: Structures