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ch37 - CHAPTER Atoms 37 1 As n increases does the spacing...

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CHAPTER 37 Atoms 1* · As n increases, does the spacing of adjacent energy levels increase or decrease? The spacing decreases. 2 · The energy of the ground state of doubly ionized lithium ( Z = 3) is ______ ,where E 0 = 13.6 eV. ( a ) –9 E 0 , ( b ) –3 E 0 , ( c ) E 0 /3, ( d )– E 0 /9. ( a ) 3 · Bohr’s quantum condition on electron orbits requires ( a ) that the angular momentum of the electron about the hydrogen nucleus equal nh _ . ( b ) that no more than one electron occupy a given stationary state. ( c ) that the electrons spiral into the nucleus while radiating electromagnetic waves. ( d ) that the energies of an electron in a hydrogen atom be equal to nE 0 , where E 0 is a constant energy and n is an integer. ( e ) none of the above. ( a ) 4 ·· If an electron moves to a larger orbit, does its total energy increase or decrease? Does its kinetic energy increase or decrease? Its total energy increases; its kinetic energy decreases. 5* ·· The kinetic energy of the electron in the ground state of hydrogen is 13.6 eV = E 0 . The kinetic energy of the electron in the state n = 2 is _____. ( a ) 4 E 0 , ( b ) 2 E 0 , ( c ) E 0 /2, ( d ) E 0 /4. ( d ) 6 · The radius of the n = 1 orbit in the hydrogen atom is a 0 = 0.053 nm. What is the radius of the n = 5 orbit? ( a ) 5 a 0 , ( b ) 25 a 0 , ( c ) a 0 , ( d ) (1/5) a 0 , ( e ) (1/25) a 0 . ( b ) 7 · Use the known values of the constants in Equation 37-11 to show that a 0 is approximately 0.0529 nm. Evaluate Equ. 37-12, a 0 = h _ 2 / mke 2 a 0 = m ) 10 (1.6 10 8.99 10 9.11 ) 10 (1.05 2 19 9 31 2 34 - - - × × × × × × = 5.26 × 10 –11 m = 0.0526 nm 8 · The longest wavelength of the Lyman series was calculated in Example 37-2. Find the wavelengths for the transitions ( a ) n 1 = 3 to n 2 = 1 and ( b ) n 1 = 4 to n 2 = 1.
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