Student Exploration Bohr Model Introduction

Name: ______________________________________ Date: ________________________ Student Exploration: Bohr Model: Introduction Vocabulary: absorption spectrum, Bohr model, electron volt, energy level, laser, orbital, photon Prior Knowledge Questions When light passes through a gas, certain wavelengths of the light are absorbed. The result is a unique absorption spectrum. Two examples are shown below. The colors covered______________ by the vertical 1. What colors of light are absorbed by hydrogen gas? _________________ black lines are the colors absorbed by hydrogen gas. _________________________________________________________________________ The colors covered by the vertical 2. What colors of light are absorbed by helium gas? __________________________________ black lines are the colors absorbed by helium gas. _________________________________________________________________________ Gizmo Warm-up In 1913, Niels Bohr proposed that the unique spectral lines created by different elements were related to the way electrons were arranged around the nucleus. The Bohr Model: Introduction Gizmo™ explores this connection. The laser shown in the Gizmo can emit photons, or particles of light, at a variety of wavelengths. The energy of a photon, measured in electron volts (eV), is inversely proportional to its wavelength. Photons that pass through the gas are detected by the photon detector at right. 1. With the Energy (eV) set to 1 eV, click Fire. Did the photon go straight through the gas in It went straight throught the gas. the tube, or was it absorbed by the gas? _________________________________________ The photon was 2. Set the Energy (eV) to 4 eV, and click Fire. What happened this time? ___ _____________ absorbed by the gas. _________________________________________________________________________ Activity A: Absorption spectra  On the SIMULATION pane, select Lamp.  Check that Gas A is selected. Introduction: The smaller the wavelength of a photon, the greater its energy. We can see photons with wavelengths between 700 nanometers (red) and 400 nanometers (violet), corresponding to energies between 1.8 and 3.1 eV. Question: What does the absorption spectrum of an element indicate about its electron configuration? 1. Record: Click Fire. The lamp emits photons of 1 eV, 2 eV, and so on up to 20 eV. The EL Photon Detector Display shows the photons that pass directly through the gas. Any missing photons were absorbed by the gas before being reemitted at various angles. 4, 7, 13, and 19. Which photon energies were absorbed by Gas A? ____________________________ _____ 2. Observe: Select the Laser on the left and the ORBITALS tab on the right. Set the Energy (eV) to 4 eV. The atom model at right, called the Bohr model, shows the nucleus of the atom as a dark blue dot. Colored rings surrounding the nucleus represent the orbitals that the electron (red dot) can follow. The variable “n” represents the orbital number. The electron changed orbitals temporarily Click Fire and watch closely. What happens? _____________________________________ when more energy was added, then it returned to its original orbital once the _________________________________________________________________________ extra energy: left. 3. Analyze Click Fire again. This time, focus on the colors of the photons that enter and exit the atom. Blue A. What color is the incoming 4-eV photon? __________________________________ It changes orbitals B. What happens to the electron when the photon is absorbed? ___________________ ___________________________________________________________________ Blue C. What color is the emitted photon? ________________________________________ It goes back to its D. What happens to the electron when the photon is emitted? ____________________ original orbital ___________________________________________________________________ E. If necessary, turn on Show energy of emitted photon(s). What is the energy of the 4 eV emitted photon? ______________________________________________________ (Activity A continued on next page) Activity A (continued from previous page) 4. Predict: What do you think will happen if you fire a 7-eV photon at the atom of Gas A? How The electron will go to further away orbitals. about a 13-eV or a 19-eV photon? _________________ ____________________________ _________________________________________________________________________ _________________________________________________________________________ 5. Gather data: Test your predictions with the Gizmo and fill in the table below. (The first row has been filled in for you.) Photon energy Effect on electron Energy of emitted photon(s) 4 eV Electron moves up to n = 2 and then back down to n = 1. 4 eV 7 eV Electron moves up to n=3 and then back down to n=1 13 eV Electron moves up to n=4 and then back down to n=1 19 eV Electron moves up to n=5 and then back down to n=1 4 eV and 3 eV 4 eV and 9 eV 4 eV and 15 eV 6. Analyze: Find the total energy of each set of emitted photons. How does each sum relate to Yes, it is just divided the energy of the absorbed photon? ____________________________________________ _________________________________________________________________________ 7. Explore: With the Energy (eV) set to 19 eV, click Fire six times. Record the energy of the emitted photons each time. Record the results of each trial below. Trial Energy of emitted photons Trial Energy of emitted photons 1 3 eV, 4 eV, 6 eV and 6 eV 4 3 eV, 4 eV, 6 eV and 6 eV 2 6 eV and 13 eV 5 3 eV, 4 eV, 12 eV 3 eV, 4 eV, 6 eV and 6 eV 6 4 eV and 15 eV 3 8. Analyze: When an electron moves from a higher orbital to a lower one, does it always follow No, it can divide the energy used to take it to the higher orbital the same path? Explain. _____________________________________________________ in different ways. _________________________________________________________________________ Activity B: Energy levels  Select the ENERGY LEVELS tab.  Check that Gas A is selected. Introduction: When an electron absorbs a photon, it gains energy, causing it to move to a higher orbit. Because each possible orbit is associated with a specific amount of energy, the orbits are known as energy levels. Each element has a unique set of energy levels. Question: How are energy levels related to absorption spectra? 1. Record: By convention, an energy of 0 eV is assigned to the energy level that is infinitely far from the nucleus. As a result, each energy level is assigned a negative energy value. The energy levels for Gas A are shown on the graph. What is the energy of each level? -20 n = 1: ______ -16 n = 2: ______ -13 n = 3: ______ -7 n = 4: ______ -1 n = 5: ______ 2. Calculate: How much energy would an electron have to gain to move from n = 1 to n = 4? 13 eV _________________________________________________________________________ The electron 3. Test: Set the Energy (eV) to this level and click Fire. What happened? ________________ moved to the energy level n=4 _________________________________________________________________________ 4. Make connections: Recall that Gas A absorbs photons with the following energies: 4 eV, 7 eV, 13 eV, and 19 eV. How do these values relate to the energy level diagram? Test your ideas using the Gizmo. They each move the electron up to the next energy level without going above _________________________________________________________________________ the _________________________________________________________________________ needed energy amount. _________________________________________________________________________ 5. Record: Each element has a unique configuration of energy levels. Select Gas B and record the energy of each energy level for this gas. -19 n = 1: ______ -14 n = 2: ______ -13 n = 3: ______ -8 n = 4: ______ -2 n = 5: ______ 6. Predict: Based on these energy levels, which photons do you expect Gas B to absorb? 5 eV, 6 eV, 11 eV, and 17 eV _________________________________________________________________________ (Activity B continued on next page) Activity B (continued from previous page) 7. Test: Select the Lamp and click Fire. Which photons were absorbed by Gas B? 5 eV, 6 eV, 11 eV, and 17 eV _________________________________________________________________________ 8. Record: Select Gas C and click Fire. Which photons were absorbed by Gas C? 3 eV, 8 eV, 11 eV, and 16 eV _________________________________________________________________________ 9. Apply: Select the Laser. Based on the data you collected, draw an energy levels graph for Gas C. When you have finished, select the ENERGY LEVELS tab to check your answer. Fill in the actual graph on the right. (Hint: In Gas C, the first energy level is -18 eV.) Predicted Actual 10. Practice: For Mystery A and Mystery B, you are not given the actual energy level diagram. Use the EL Photon Detector Display to infer the energy level diagrams for each mystery element. (Hint: For each mystery gas, assume the first energy le el is -20 eV.) n=5 n=5 n-4 n=3 n=2 n=4 n=3 n=2 n=1 Mystery A n=1 Mystery B