Atomic Theory and Structure: Review Solutions and Test Topics 1. Atomic Theory Development For each scientist, name (if applicable) and draw his atomic model’ Democritus (ca 400 BC) and John Dalton (1803) - smallest fundamental part of nature. Would look like a small sphere. Dalton also stated that atoms combined in whole number ratios, that atoms were indivisible (did not know about fission) and that atoms of the same element were alike (did not know about isotopes) 2. “plum-pudding model” The model had an atom filled with a positive mass (the pudding) with negative electrons scattered throughout (the plums). Nagaoka (1904) – “Saturnian Model” The model had a very large nucleus filled with the positively charged mass surrounded by a ring of negative electrons. Rutherford (1911) – Following the results of his Gold-foil experiment, Rutherford’s model had a very tiny nucleus that contained all the positive mass while the electrons were scattered throughout the relatively massive electron cloud. Rutherford concluded that an atom was “mostly empty space.” Bohr (1913) – Similar to Rutherford’s model, but Bohr had filled the electron cloud with a series of concentric rings (orbits) containing the electrons. We know the rings as energy levels. Fill in the blanks. 11 5 3. Thompson (1903) – B 3 p = Ti 2 48 22 5 16 n = 48 – 22 = 26 n = 32 – 16 = 16 e = 5–3=2 e = 22 – 2 = 20 e = 16 + 2 = 18 35 17 36 17 Cl S 2 p = n = 11 – 5 = 6 Which atom is most likely to be radioactive and why? n p 32 16 p = 22 37 17 Cl 18 17 19 17 35 Cl 36 Cl 37 Cl Cl 20 17 1 Furthest from 1 , so most likely to be radioactive 4. Define half-life. The time required for ½ of a radioactive sample to decay . 5. A radioactive sample has a half-life of 20.0 s. How long will it take a 50.0 g sample to decay to less than 5.0 g? 50.0 g half life 25.0 g half life 12.5 g half life 6..25 g half life 3.125g (now less than 5.0 g) So, four half-lives are needed, or 4 x 20.0 s = 80.0 s 6. A radioactive sample has a half-life of 0.50 yr. After 3 yrs what amount of the original sample remains? 3 yrs Total time is 3 yrs, with each half-life being 0.5 yrs, so we get 0.5 yrs 6 half lives . So if we cut something in half six times, we would go from 100% down to 1.56%. or from 1.00 to a fraction of 0.00156 or from 1 1 1 1 2 2 1 4 3 1 8 4 1 16 5 1 32 6 1 64 1 1 to 1 th 64 . Atomic Theory and Structure: Review Solutions and Test Topics 7. List the five types of radioactive decay. Write the symbol for the radioactive particle. Briefly describe the decay. Types of radioactive decay 4 , Alpha Particle, 2 He o , 223 87 Fr 4 2 He 219 + 85 At Beta Decay, o 32 15 (n p + e-), positive He nucleus ejected from the nucleus 0 1 high energy e- is ejected from the nucleus e 32 P 10 e + 16 S o , Gamma Rays high energy photon emitted as nucleus moves from excited to lower energy state 232 90 Th * 132 90Th + (*=excited state) 0 o Positron Emission, 1 e positive particle ejected from nucleus (p 1 0 n+ 0 1 30 30 e ), 15 Si P 10 e + 14 e- falls into nucleus combining with a proton and forming a neutron, o EC-electron capture Tl + 10 e 202 80 Hg 202 81 8. Complete the following equations. Note: Atomic mass (top #) and atomic number (bottom #) must be the same on both sides of the arrow. Note: The atomic number (bottom #) determines which symbol to write; except when the value is zero, 0, in which case it could be n or , so in that case look at the atomic mass (top #) 1. 202 81 + 0 1 2. 223 87 4 2 3. 30 15 P 0 1 4. 232 90 Th * 5. 32 15 P Tl Fr e 202 80 He + 219 85 + 30 14 232 90 Th + 0 * 0 0 1 e + 32 16 e Hg At Si S Topics for test include: Nucleus Central portion of the atom, positively charged and contains the mass . Electron cloud The bulk of the space of an atom, mostly empty, negatively charged. Basic Subatomic Particles electron proton neutron Note that for an individual atom, the number of protons and neutrons never changes in ordinary reactions. The number of electrons can change, which effects the charge of the atom, but the nucleus does not change. negative charge (–) positive charge (+) neutral ( ) located in electron cloud located in nucleus located in nucleus 0u 1u 1u Atomic Theory and Structure: Review Solutions and Test Topics Atomic Mass, Y the sum of the protons and neutrons. p + n e.g. an atom with 6 protons and 7 neutrons has an atomic mass of 13 Atomic Number, Z The number of protons. This defines the element. For example carbon always has 6 protons, but is known to have 6 neutrons (Y=12) or 7 neutrons (Y=13) or 8 neutrons (Y=14) See isotopes below. Isotope Atoms with the same number of protons (same element), but with different number of neutrons. Percent Abundance the percentage of one isotope for an element Average Atomic Mass, Yavg a weighted average of all known isotopic masses for an element Yavg Y1 Y2 where X = percent abundance as a decimal Y1 and Y2 are isotopic masses Charge Some particles emit an electric force creating a field of force around the particle. This field attracts opposite fields while repelling similar fields. These fields are positive (+) or negative (-). The absence of the field is neutral ( ). Ion a charged atom or molecule Cation positive ion, lost electrons Anion negative ion, gained electrons To calculate charge atom – number of excess protons or electrons. e.g. if an atom contains 6 protons and 7 electrons, thus 6 + charges and 7- charges with a net of 1charge Radioactivity the release of energy and/or particles resulting from an unstable nucleus There is no set rule for stability, but from experiment stability is based on the neutron to proton ration, the further the value of np is from 1, the more likely the isotope is radioactive. 12 6 13 6 C n p C = 66 7 6 14 6 C 8 6 furthest from 1, so most likely radioactive Nuclear Transformations a change in the number of protons and /or neutrons in the nucleus as a result of radioactive decay Half-life The time it takes for half of a sample of a radioactive isotope to decay. For example, the half-life of 32P is 14 days. So after 14 days a 50 g sample of 32 P is now 25 g of 32P and 25 g of 32S. (see beta decay below) Types of radioactive decay 4 o , Alpha Particle, 2 He positive He nucleus ejected from the nucleus , o Beta Decay, 0 1 Fr 24 He + 219 85 At high energy e- is ejected from the nucleus (n p + e-), e o , Gamma Rays 32 15 32 P 10 e + 16 S high energy photon emitted as nucleus moves from excited to lower energy state 232 90 Th * 132 90Th + (*=excited state) 0 o Positron Emission, 1 e positive particle ejected from nucleus (p o EC-electron capture 223 87 1 0 n+ 0 1 30 30 e ), 15 Si P 10 e + 14 e- falls into nucleus combining with a proton and forming a neutron, Tl + 10 e 202 80 Hg 202 81
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