Name: Date: Heats of Reaction In this experiment you will determine and compare the quantity of heat energy released in three exothermic chemical reactions. Go to http://chemcollective.org/vlab/138 Reaction 1: Solid sodium hydroxide dissolved in water to form an aqueous solution of ions NaOH (s) → Na+(aq) + OH-(aq) + x1 kJ Reaction 2: Solid sodium hydroxide reacts with an aqueous solution of hydrogen chloride to form water and an aqueous solution of sodium chloride. NaOH (s) + H+(aq) + Cl-(aq) → H2O(i) + Na+(aq) + Cl-(aq) + x2 kJ Reaction 3: An aqueous solution of sodium hydroxide reacts with an aqueous solution of hydrogen chloride to form water and an aqueous solution of sodium chloride. Na+(aq) + OH-(aq) + H+(aq) + Cl-(aq) → H2O(l) + Na+(aq) + Cl-(aq) + x3 kJ In order to accurately measure the heat released in each reaction, we will be using a calorimeter (a styrofoam cup). The change in temperature that occurs for each reaction will be used to calculate the energy released in kilojoules per mole of sodium hydroxide use. We can assume for our calculations that any heat transferred to the styrofoam and surrounding air will be negligible. We can also assume that the specific heat of water is 4.18 J/goC. Specific heat can be calculated using the formula q = mcΔT q = -ΔH Procedure Reaction 1 a. In the glassware menu, take out a 50 ml graduated cylinder and a styrofoam cup. From the tools menu, take out the scale. From the chemical stockroom, move the distilled water and solid NaOH onto the workbench. b. Transfer 50 mL of distilled water to the styrofoam cup. To do this, drag the carboy of water onto the graduated cylinder. (Before you release the mouse button, the cursor will show a plus sign and a transfer text bar will appear. Enter 50.0 mL and click on pour. You will notice that the graduated cylinder reads 50.0 mL. c. Weigh about 1 g of solid sodium hydroxide pellets, NaOH(s), directly into the styrofoam cup and record its mass to the nearest 0.01 g. To do this, place the styrofoam cup on the balance so it registers a mass, then click the “Tare” button. Drag the NaOH button onto the styrofoam cup. (When you release the mouse, the bottle will be tipped to show that it is in pour mode.) Next type “1.00’ g into the transfer bar and then click pour. Note that the balance now reads the mass of the transferred NaOH. You may now take the cup off of the scale and remove the scale from the workbench. d. Click on the graduated cylinder, record its temperature and then drag it onto the styrofoam cup. (When you release the mouse, the graduated cylinder will be tipped to show that it is in pour mode.) Enter 50.0 in the transfer bar and then click pour. Record the highest temperature. Reaction 2 a. Take the 0.5 M HCl from the strong acids cabinet and a styrofoam cup and 50 mL graduated cylinder from the glassware menu and place them on the workbench. The procedure for Reaction 2 is the same as for Reaction 1 except that 50 mL of 0.5 M hydrochloric acid solution is used in place of the water. After measuring 50.0 mL of the HCl solution into the graduated cylinder, proceed as before with steps b through d of the procedure. Reaction 3 a. Take out another graduated cylinder, a fresh styrofoam cup, the 1.0 M HCl and the 1.0 M NaOH. (If you are running out of room, you may remove the previous chemicals). Measure 25.0 mL of 1.0M hydrochloric acid solution into the styrofoam cup. Pour an equal volume (25 mL) of 1.0 M sodium hydroxide solution in the clean graduated cylinder. b. Record the temperature of each solution to the nearest 0.1oC. Pour the sodium hydroxide solution into the styrofoam cup and record the high temperature obtained during the reaction. Analysis Observations Reaction 1: NaOH (s) → Na+(aq) + OH-(aq) + x1 kJ Mass of the system / Mass of the surroundings 50mL = 50g / 1g Initial Temperature 25°C Final Temperature 30.3°C Heat Released (q) Q = mcΔT Q = (50g)(4.18J/g°C)(30.3 - 25) Q = 1107.7J Q = 1.1077kJ Moles of NaOH n = m/M N = 1g/39.997g/mol n = 0.025 mol Molar Heat of Reaction (ΔH) ΔHsys = -Qsurroundings nΔHsol = -Q ΔHsol = -Q/n ΔHsol = -1107.7J/0.025 ΔHsol = -44308J ΔHsol = -44.308kJ/mol Reaction 2: NaOH (s) + H+(aq) + Cl-(aq) → H2O(i) + Na+(aq) + Cl-(aq) + x2 kJ Mass of the system / Mass of the surroundings 50mL = 50g / 1g Initial Temperature 25°C Final Temperature 36.97°C Heat Released (q) Q = mcΔT Q = (50g)(4.18 J/g°C)(36.97-25) Q = 2501.73J Q = 2.50173kJ Moles of NaOH n = m/M n = 1g/39.997g/mol n = 0.025mol Molar Heat of Reaction(ΔH) ΔHsys = -Qsurroundings nΔHsol = -Q ΔHsol = -Q/n ΔHsol = -2501.73J/0.025 ΔHsol = -100069.2 ΔHsol = -100.0692kJ/mol Reaction 3: Na+(aq) + OH-(aq) + H+(aq) + Cl-(aq) → H2O(l) + Na+(aq) + Cl-(aq) + x3 kJ Mass of the system / Mass of the surroundings 25 mL = 25g / 25mL = 25g Initial Temperature 25°C Final Temperature 31.67°C Heat Released (q) Q = mcΔT Q = (25g)(4.18J/g°C)(31.67-25) Q = 697.015J Moles of NaOH n = m/M n = 25g/39.997g/mol n = 0.62mol Molar Heat of Reaction (ΔH) ΔHsys = -Qsurroundings nΔHneut = -Q ΔHneut = -Q/n ΔHneut = -697.015J/0.62mol ΔHneut = -1,124.22 ΔHneut = -1.12422kJ/mol 2. Write the ionic equation for Reactions 1, 2 and 3. Consider the heat given off in your reactions; add variables to your equations to represent the heat given off in kJ/mol. Reaction 1: NaOH (s) → Na+(aq) + OH-(aq) + x1 kJ Reaction 2: NaOH (s) + H+(aq) + Cl-(aq) → H2O(i) + Na+(aq) + Cl-(aq) + x2 kJ Reaction 3: Na+(aq) + OH-(aq) + H+(aq) + Cl-(aq) → H2O(l) + Na+(aq) + Cl-(aq) + x3 kJ Insert overall net ionic equation here Reaction 1: NaOH(s) → Na^(+)(aq) + OH^(-)(aq) + 44.31 kJ/mol Reaction 2: NaOH(s) + H^(+)(aq) → H2O(l) + Na^(+)(aq) + 100.07 kJ/mol Reaction 3: OH^(-)(aq) + H^(+)(aq) → H2O(l) + 1.12 kJ/mol 3. The energy x1 in Reaction 1 represents the energy of the solution for one mole of NaOH(s). Look at the net ionic equations for Reactions 2 and 3 and make a similar statement concerning the significance of x2 and x3. The energy x2 in reaction 2 represents the energy of the solution for one mole of NaOH(s). The energy x3 in reaction 3 represents the energy of the solution for one mole of NaOH(aq). 4. Find the difference between the value of x2 and the sum of x1 and x3. Account for any similarity or difference. = x2 - (x1 + x3) = 100.07kJ/mol - (44.31kJ/mol + 1.12kJ/mol) = 100.07kJ/mol - (45.43kJ/mol) = 54.64kJ/mol The difference between the value of x2 and the sum of x1 and x2 is 54.64kJ/mol 5. Suppose that you had used 4.00 g of NaOH(s) in Reaction 1. What would be the number of Joules released in the reaction? What effect would this have on x1? Q = mcΔT Q = (50g)(4.18J/g°C)(30.3 - 25) Q = 1107.7J Q = 1.1077kJ n = m/M N = 4g/39.997g/mol n = 0.1mol ΔHsys = -Qsurroundings nΔHsol = -Q ΔHsol = -Q/n ΔHsol = -1107.7J/0.1 mol ΔHsol = -11077J ΔHsol = -11.077kJ The number of Joules released in the reaction would be -11.077kJ instead of the original -44.308 Joules that were being released. Discussion 1. Look up Hess’ Law and discuss how this experiment is an example of this law at work. Hess’ law states that the total enthalpy change is equal to the sum of all stages or steps to get to that reaction in between. Reaction 1: NaOH(s) → Na^(+)(aq) + OH^(-)(aq) + 44.31 kJ/mol Reaction 2: x 1 NaOH(s) + H^(+)(aq) + Cl^(-)(aq) → H2O(l) + Na^(+)(aq) + Cl^(-)(aq) + 100.07 kJ/mol Reaction 3: x-1 Na^(+)(aq) + OH^(-)(aq) + H^(+)(aq) + Cl^(-)(aq) → H2O(l) + Na^(+)(aq) + Cl^(-)(aq) + 1.12 kJ/mol NaOH(s)→ Na^(+)(aq) ΔH = -100.07 kJ/mol → OH^(-)(aq) ΔH = 1.12kJ/mol ΔH = 98.95kJ The value of ΔH for reaction 3 is supposed to be around 50kJ which would then be able to give us the correct value for the first equation. This experiment is an example of Hess’ law at work since Reaction 2 and 3 equations are steps to get the first reaction and adding them up is supposed to give you the total enpalthy change of reaction 1. 2. If you were doing this experiment in the real world, what are some major sources of error that could have occurred? A source of error that could occur is that your equipment is not good enough quality so it might not be able to measure the most accurate values such as your thermometer not being able to get the most accurate temperature. Another source of error could be that your cup is not as well insulated and as a result, the surrounding would not only include the water or solution inside the cup, but the outside air as well which would give you the wrong result as there would be heat transfer between the air which you do not want. Finally, a source of error could be that the equipment is not cleaned properly and has other substances on it which could react with the substances inside of the cup and would also give you an inaccurate result.