Unit Eight: Heat

As you come in, The Materials: Pick up the unit calendar, assessment plan, and practice packet at the front of the room. Grab your calculator, paper, and pencil for notes. The Plan: Notes: Heat Guided Practice: Heating Curve of Water Graph and Questions from Practice Packet Textbook Practice: #25 (353), PP10.2 (329), #48 (355), #22-23 (514) Practice Packet: “11Thermochemistry” Section 11.3 #1,2 and 4 Calorimetry Worksheets #1-3 The Assessment: Wednesday – Heating/Cooling Curve Quiz (24 points) Musical Theme: MOTOWN MONDAY!

Heat is NOT Temperature. What is temperature? A measure of the average kinetic energy of the particles of a sample; how fast the particles are moving Common temperature units are Fahrenheit, Celsius, and Kelvin. We’ll use Celsius.

Heat is ENERGY that FLOWS. Heat energy flows from areas of high energy to areas of low energy. Often, the high energy causes particles to move quickly which leads to high temperature. The areas of low energy normally contains slowly moving particles. Therefore, heat energy is related to temperature. Heat flows from areas of high temperature to areas of low temperature. Heat will continue to flow until all areas have reached an EQUAL temperature.

The amount of heat that flows can be measured. What units are used to measure heat? calories Calories (nutritional calories) Joules J = 1 cal 1000 cal = 1 Cal

Learning How to Calculate Heat Flow Heat flow in PHYSICAL CHANGES Phase changes involve a flow of heat that can be measured. Solid to liquid to gas Melting & Evaporation Gas to liquid to solid Freezing & Condensation

Heating Curve of Water Endothermic graph

Conceptual Understanding The graph shows heat continually flowing into this sample of water. Solid = heat in causes particles to increase in speed (ΔTemp) Melting = heat in causes intermolecular forces to weaken Liquid = heat in causes particles to increase in speed (ΔTemp) Boiling = heat in causes intermolecular forces to break Gas = heat in causes particles to increase in speed (ΔTemp)

Quantitative Understanding Two Equations Used to Calculate Heat Flow q = mcΔT q = molΔH You must be able to recognize a change in temp vs. a change in heat content.

Putting It All Together Diagonal Lines: show heat causing changes in temperature q = mcΔT Plateaus: Show heat causing changes in heat content that weaken/break intermolecular forces without affecting temperature q = molΔH

The Calculation A 5.0 gram sample of water at -40C is heated to 140C. How much heat is required? Calculate ONE segment at a time. Watch the units carefully. Add the five segments together in the end. Let’s use the constants listed on the front of your practice packet.

What if…? What if the question had said, “A 5.0 gram sample of water at 140C is cooled to -40C. How much heat is released?” What would the graph look like? How would the calculation be different for each segment? Would the graph be endothermic or exothermic?

What if…? Answers What if the question had said, “A 5.0 gram sample of water at 140C is cooled to -40C. How much heat is released?” What would the graph look like? The graph would start at 140C and have a negative slope to 40C. How would the calculation be different for each segment? The numbers would NOT change at all. However, the changes in temperature and heat content should be negative. Would the graph be endothermic or exothermic? The graph shows heat being lost or released out of the sample so it is exothermic.

What if you had to draw your own graph? A 3.6 gram sample of water is cooled from 75C to -5C. How much heat is released? Draw the x-axis (time) and y-axis (temp). Mark the highest and lowest temperatures on the y-axis. Mark the phase change temperatures that will occur within the temperature range on the y-axis. Draw the line segments from starting to ending temperature. Be sure to show plateaus at the phase change temps.

Check your work. Time Temperature A 3.6 gram sample of water is cooled from 75C to -5C. How much heat is released?

Suggested Homework Solve the Heating Curve of Water calculations on the first page of your practice packet. Give each answer to 4 sig figs. NOTE: The questions will take you step-by-step through the process.

Check your HW: Heating Curve of Water Question 1: We’ll answer as we go through the segments. Question 2: (3.1g)(2.1J/gC)(0C- - 20C) = 130.2J Question 3: (0.17mol)(6.01kJ/mol) = 1.022kJ Question 4: (3.1g)(4.18J/gC)(100C-0C)= 1296J Question 5: (0.17mol)(40.7kJ/mol) = 6.919kJ Question 6: (3.1g)(1.7J/gC)(130C-100C) = 158.1J Question 7: 9525J or 9.525kJ

Heating Curve Jig-Saw Goal 1: With a small group, draw a heating or cooling curve to represent a sample. Calculate the heat required to make the temperature/phase changes on the curve. Everyone is responsible for the graph, calculations, and explaining the process. Goal 2: In a new small group, explain your graph and calculations. Learn about the graphs and calculations for five more samples. Goal 3: Return to your desk to draw and calculate a curve independently. Select answers in I-Respond.

Goal 1 Group Instructions 1)Assign each group member a number (1-4). 2)Draw the heating or cooling curve to reflect your sample. 3)Calculate the heat flow described in your question and curve. 4)Answer the following questions: a)Is the sample undergoing endothermic or exothermic heat flow? b)Will the q value be positive or negative? c)Will the ΔH value be positive or negative? 5)Discuss the curve and calculations as a group until ALL members are comfortable explaining them to another student. 10 minute time limit

Goal 2 Group Instructions 1)Open your Goal 2 folder and pull out the six heating or cooling curve examples. 2)Draw and discuss calculations of Curve 1. (5 minute)5 minute 3)Draw and discuss calculations of Curve 2. (5 minute)5 minute 4)Draw and discuss calculations of Curve 3. (5 minute)5 minute 5)Draw and discuss calculations of Curve 4. (5 minute)5 minute 6)Draw and discuss calculations of Curve 5. (5 minute)5 minute 30 minute time limit

Independent Heating Curve Question (10 minute time limit) A sample of 4.9 grams of water is cooled from 114°C to -8°C. Give your answers to four sig figs. ∆H fusion = 6.02 kJ/mol ∆H vap = 40.6 kJ/mol C solid = 2.03 J/g°C C liquid = J/g°C C vapor = 1.7 J/g°C

Is the sample undergoing endothermic or exothermic heat flow? A.) endothermic B.) exothermic

Will the q value be positive or negative? A.) positive B.) negative

Will the ΔH value be positive or negative? A.) positive B.) negative

How much heat is lost in the gas segment of the graph? A.) J B.) J C.) J D.) J

How much heat is lost in the condensation segment of the graph? A.) -11,040 J B.) 11,040 J C.) J D.) J

How much heat is lost in the liquid segment of the graph? A.) J B.) J C.) J D.) J

How much heat is lost in the freezing segment of the graph? A.) J B.) J C.) -1,637 J D.) J

How much heat is lost in the solid segment of the graph? A.) J B.) J C.) J D.) J

Calculate the total heat required to make the temperature change from 114C to -8C. A.) J B.) J C.) -12,250 J D.) -14,920 J

Phase Diagram A phase diagram gives the conditions of temperature and pressure at which a substance exists as solid, liquid, and gas. Each of the three regions represents a pure phase (not a mix). Each line represents the temp & pressure conditions where the phases exist in equilibrium and phase changes occur. Triple point: set of conditions in which all phases exist in equilibrium

If you had a bottle of X in your closet, what state of matter would it be in? At what temperature and pressure will all three phases exist together? If I have a bottle of X at 45 atm and 100C, what will happen if I raise the temperature to 400C? Why can’t the substance be boiled at 200C? Don’t forget to practice the phase diagram questions in your packet!

Specific Heat Capacity c= Amount of heat required to raise 1 g of the substance by 1 degree Celsius. (J/gC) Specific to a substance; can be used to identify substances as a result Example 10.4 A 1.6g sample of a metal that has the appearance of gold requires 5.8 J of energy to change its temperature from 23°C to 41°C. Is the metal pure gold? c of Au = J/gC. Specific Heat WS (Practice Packet) 1. A g piece of iron absorbs J of heat energy, and its temperature changes from 25°C to 175°C. Calculate the heat capacity of iron. q = m c Δ T

Specific Heat Capacity in Other Calculations Example 14.1 Calculate the energy required to melt 8.5 g of ice at 0°C. Example 14.2 Calculate the energy (in kJ) required to heat 25 g of liquid water from 25°C to 100°C and change it to steam at 100°C. Section Review Question 7 Calculate the energy required to change 1.00 mol of ice at -10°C to water at 15°C. Water c = J/g°C ∆H fusion = 6.02 kJ/mol ∆H vaporization = 40.6 kJ/mol

A rectangular aquarium, 37.4 cm by 30.7 cm by 67.7 cm, is filled with water at 13.5C. How much energy is required to raise the temperature of the water to 22.3C? (1cm 3 = 1 mL = 1 gram; c H2O = 4.18J/gC) A.) 1,375 J B.) 324,918 J C.) 2, 859, 278 J D.) Not enough information to calculate

How much heat does a 23.0 g ice cube absorb as its temperature increases from -17.4°C to 0.0 °C ? The specific heat of ice is 2.1 J/gC. A.) J B.) 1,673 J C.) 84.0 J D.) Not enough information

A sample of an unknown metal has a mass of g. As the sample cools from 90.5 °C to 25.7 °C, it releases 7020J of energy. What is the specific heat of the sample? A.) J/gC B.) J/gC C.) J/gC D.) J/gC

1. True or false. Temperature increases as a sample of silver melts. A.) True B.) False

2. Calculate the heat required to vaporize 6.5g of gold. The specific heat capacity of gold is J/gC. The ΔH fus is 12.5 kJ/mol, and the ΔH vap is kJ/mol. A.) kJ B.) kJ C.) kJ D.) kJ

3. What are the temperature and pressure coordinates of the triple point? A.) 50 atm & 350C B.) 90 atm & 750C C.) 40 atm & 400 C D.) 22 atm & -10C

Heat Exchange Between Two Substances So far, I’ve just told you that heat is added or released from a substance. I haven’t included where the heat is coming from or going. Example: A 25.0 g sample of pure iron at 85°C is dropped into 75 g of water at 20°C. What is the final temperature of the water-iron mixture? What direction will heat flow in this example? Fe to H 2 O or H 2 O to Fe? When will the heat stop flowing? When we know about BOTH parties involved in heat flow, we can calculate many variables.

Understanding Heat Flow Between Two Substances Heat will ALWAYS flow from hot to cold. Heat will ALWAYS stop flowing when the same final temperature is reached. If the system is insulated, the amount of heat lost by the hot substance will equal the amount of heat gained by the cold substance. q lost + q gained = 0

Insulated Heat Exchange In analytical chemistry labs, a calorimeter is used to insulate heat exchange situations. We’ll assume that any exchanges calculated in here are insulated in a calorimeter. Therefore, q lost by the hot substance will equal the q gained by the cold substance. q lost + q gained = 0

Calculating Heat Flow Between Two Substances A 25.0 g sample of pure iron at 85°C is dropped into 75 g of water at 20°C. What is the final temperature of the water-iron mixture? (c Fe = 0.45 J/gC; c H2O = 4.18J/gC) q lost + q gained = 0 q Fe + q H2O = 0 (mcΔT) Fe + (mcΔT) H2O = 0

Another Example Chemistry Thermo WS of Practice Problems 16. The specific heat capacities of Hf and ethanol are 0.146J/gC and 2.45J/gC, respectively. A piece of hot Hf weighing 15.6 g at a temperature of 160.0C is dropped into 125 g of ethanol that has an initial temperature of 20.0C. What is the final temperature that is reached, assuming no heat loss to the surroundings?

A Third Example A sample of silver with a mass of 63.3 g is heated to a temperature of 111.4ºC and placed in a container of water at 17ºC. The final temperature of the silver and the water is 19.4°C. Assuming no heat loss, what mass of water was in the container? The specific heat of water is J/gºC, and the specific heat of 0.24 J/gºC.

Heat Stoichiometry So far, we’ve been analyzing temperature changes and calculating the heat involved in these PHYSICAL changes. Now, we are going to transition back to chemical changes...chemical reactions. Look at the reaction described below: 2S + 3O 2 --> 2SO 3 ∆H = kJ Analyze the reaction: 1.Is heat absorbed or released? 2.What conversion factors could be written to include the heat?

Understanding the Equation 2S + 3O 2 --> 2SO 3 ∆H = kJ 2S + 3O 2 --> 2SO kJ ∆H tells if the reaction is endothermic or exothermic. + = endo; - = exo ∆H can be used as a conversion factor with the coefficients from the equation. 2 mole S = kJ lost 3 mole O 2 = kJ lost 2 mole SO 3 = kJ lost ∆H can also be written in the equation. - = exo = product + = endo = reactant

Calculations Using ∆H As A Conversion Factor How much heat will be released when 6.44 g of sulfur reacts with excess O 2 according to the equation above? 2S + 3O 2 --> 2SO 3 ∆H = kJ Since you have a chemical reaction, you have to use stoichiometry. Label the equation according to the question. Write the given and draw the chart. Change grams to moles LIKE ALWAYS. Use a ratio from the equation to convert moles to energy.

Stoichiometry Practice Solve the 12-2 Practice Problems in your packet.