CHEM 0110 Chapter 7: Chapter 7 Notes Waves, Quantum Numbers, Orbitals Etc.

The wavelength-frequency product gives the velocity (speed) the wave travels (propagates) through space. The velocity of light traveling through a vacuum which has been measured to be 2.998 x 10" m s . is recognized as a fundamental constant of the universe, and is represent by the symbol, c. These three terms are combined to give the relationship:いAv. Thus, the velocity of light, c, is the product of the wavelength and frequency. Electromagnetic radiation wavelengths range from 10 m to 101s m with corresponding frequencies of 10 to 10 cycles per second (cps). Recall the wavelength-frequency product is a constant with the values 2.998 x 10°m s. The names associated with specific wavelength/frequency ranges are given in the following illustration. This listing is known as the electromagnetic spectrum. ACTIVITY # 3: RELATIONSHIP BETWEEN FREQUENCY AND WAVELENGTH To practice wavelength-frequency calculations, c-λ v, complete the following table, showing work with units in the right most column. Convert given frequency to wavelength or given wavelength to frequency. Take the value for the speed of light, c, to be 2.998 x 10 ms ,show a calculation string, include dimensions, reporting the final value to the proper number of significant figures Spectral Region Wavenlength Frequency Show Calculation String λ in meters A in meters vin s or -is-or x-ray 6.0 x 10m Blue light 4.5 x 107m Infrared 4.1 x 10 cps Microwave 7.3 x10 cps Radio Wave 3.0x 10' m Page 7 of 12

Which one is a Gilman reagent? (CH _1) Mg CH_3 MgBr CH_3 Li (CH_3)_2 CuLi ICH_3ZNI of the following is the best choice of solvent for the formation of m by the reaction of bromobenzene with lthium? tetrahydrofuran ethanol liquid NH_3 water acetic acid Which one of the following mechanisms accounts for the acid-base reaction of ethylmagnesum bromide with acetylene to give acetylide anion? Which of the following alcohols can be prepared from a Grignard reagent and ethylene oxide? only 1 and 2 only 1 and 4 only 1, 2 and 3 only 2 and 4 Dichlorocarbene(Cl_2 C:) can be prepared by reacting which one of the following compounds with strong base? CCl_4 CHCl_3 CH_3 Cl_2 Cl_2C = CCl_2 Cl_3 CBr_2 What is the best choice of reagent(s) to use to convert ethylene oxide to 1-butanol? C_3 H_2 MgCl LiAlH_4 followed by H_2 O C_2 H_2 Br sodium ethoxide (Na" "OC_2 H_2) in ethanol Peroxyacetic acid(CH_3 CO_3 H) What is the major organic product obtained from the sequence of reactions on the right? 2-iodo-7-methyloctane (E)-7-methyl-1-octene (E)-7-methyl-2-octene (E)7-methyl-3-octene (E) 2, 9-dimethyldecane What is represented on the vertical axis of an infrared spectrum? potential energy wavelength frequency wave number percent transmission Which list has the different forms of electromagnetic radiation in the correct order of decreasing frequency and photon energy (highest frequency and energy > > lowest)? visible light > radio waves > infrared radio waves > infrared > visible light infrared > visible light > radio waves visible light > infrared > radio waves radio waves > visible light > infrared Which ONE of the circled bonds below gives the weakest stretching absorption in the infrared spectrum?

ZA Indicate the answer choice that best completes the statement or answers the question. 1. Erwin Schrödinger developed a model for the behavior of electrons in atoms that is known as quantum mechanics. Which of the following statements concerning this model isare CORRECT 1. The energy of an electron is quant 2. The energy of an 3. Electrons travel in circular orbits around a nucleus. tized. electron is equal to its mass multiplied by the square of its velocity a. I only b. 2 only c. 3 only d. 1 and 2 e 1,2, and 3 (mass 1673 x 10-27 kg) moving 2. For a proton (mass-i with a velocity of 2.83 x 1o1 m/s, what is the de Broglie wavelength of 2.8 (in pm)? a. 0.356 pm b. 3.56 pm c. 14.0 pm d. 7.15 pm e. 28.5 pm he-_ of a photon of light is一一proportional to its fi a. energy, directly, inversely b. energy, inversely, directly c. velocity, directly, inversely d. intensity, inversely, directly e. amplitude, directly, inversely 3. T frequency and proportional to its wavelength. 4. How many orbitals have the following set of quantum numbers n-2,-1, m.-17 5. Which of the following regions of the electromagnetic spectrum has the lowest frequency? a. x-ray b. gamma ray c. ultraviolet d. infrared e. visible 6. Which of the following statements is/are CORRECT? FM radio waves have longer wavelengths than visible radiation and AM radio waves have shorter wavelengths than visible radiation. Magnetic resonance imaging (MRI) uses a mixture of x-rays and gamma rays. Exposure to ultraviolet (UV) radiation can lead to sunburns. 2. 3. c. 3 only d. I and 2 e. 1,2, and 3 a. I only b. 2 only Page 1