Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 13, Problem 13.29E
Determine the point groups of the following molecules. (a)
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Research in surface science is carried out using stainless steel ultra-high vacuum chambers with pressures as low as 10-12 torr. How many molecules are there in a 1.00 cm3 volume at this pressure and at a temperature of 300 K? For comparison, calculate the number of molecules in a 1.00 cm3 volume at atmospheric pressure and room temperature. In outer space the pressure is approximately 1.3 x 10-11 Pa and the temperature is approximately 2.7 K (determined using the blackbody radiation of the universe). How many molecules would you expect find in 1.00 cm3 of outer space?
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Chapter 13 Solutions
Physical Chemistry
Ch. 13 - In your own words, explain why an object that has...Ch. 13 - Identify the symmetry elements present in the...Ch. 13 - Identify the symmetry elements present in the...Ch. 13 - Prob. 13.4ECh. 13 - Prob. 13.5ECh. 13 - Prob. 13.6ECh. 13 - Prob. 13.7ECh. 13 - Prob. 13.8ECh. 13 - Any axis of symmetry Cn that rotates an object by...Ch. 13 - Prob. 13.10E
Ch. 13 - Prob. 13.11ECh. 13 - Prob. 13.12ECh. 13 - Prob. 13.13ECh. 13 - What are the number of classes and the order of...Ch. 13 - Prob. 13.15ECh. 13 - a Show that the C3v point group satisfies the...Ch. 13 - a In the Td point group, an S41 improper rotation...Ch. 13 - Determine which single symmetry operation of the...Ch. 13 - Prob. 13.19ECh. 13 - Prob. 13.20ECh. 13 - Prob. 13.21ECh. 13 - Figure 13.27 shows the structure of the molecule...Ch. 13 - Prob. 13.23ECh. 13 - Identify all the symmetry elements present in the...Ch. 13 - Point groups are called such because all of the...Ch. 13 - Determine the point groups of the following...Ch. 13 - Determine the point group of the following...Ch. 13 - Determine the point groups of the following...Ch. 13 - Determine the point groups of the following...Ch. 13 - Structural isomers can have very different point...Ch. 13 - Structural isomers can have very different point...Ch. 13 - Prob. 13.32ECh. 13 - Identify the point group of the wave functions of...Ch. 13 - Identify the point group of the wave functions of...Ch. 13 - Prob. 13.35ECh. 13 - Determine if the following species have permanent...Ch. 13 - Determine if the following species have permanent...Ch. 13 - Which of the following species will not have...Ch. 13 - Prob. 13.39ECh. 13 - Explain why a molecule with a center of inversion...Ch. 13 - a Unlike methane, bromochlorofluoromethane...Ch. 13 - Prob. 13.42ECh. 13 - Prob. 13.43ECh. 13 - Prob. 13.44ECh. 13 - Show that the irreducible representations of the...Ch. 13 - Show that any two of the irreducible...Ch. 13 - Show that any irreducible representation of these...Ch. 13 - Explain why this proposed irreducible...Ch. 13 - Prob. 13.49ECh. 13 - Prob. 13.50ECh. 13 - Why is it unnecessary to consider whether an...Ch. 13 - Prob. 13.52ECh. 13 - Prob. 13.53ECh. 13 - Prob. 13.54ECh. 13 - Prob. 13.55ECh. 13 - Prob. 13.56ECh. 13 - Prob. 13.57ECh. 13 - Prob. 13.58ECh. 13 - Reduce the following reducible representations...Ch. 13 - Determine the resulting representations for the...Ch. 13 - Prob. 13.61ECh. 13 - Without using the great orthogonality theorem,...Ch. 13 - Assume that you are evaluating the integral of...Ch. 13 - Prob. 13.64ECh. 13 - Assume that x- polarized light can be assigned an...Ch. 13 - Prob. 13.66ECh. 13 - Prob. 13.67ECh. 13 - Prob. 13.68ECh. 13 - Prob. 13.69ECh. 13 - Prob. 13.70ECh. 13 - Construct the symmetry-adapted linear combination...Ch. 13 - Prob. 13.72ECh. 13 - Prob. 13.73ECh. 13 - Prob. 13.74ECh. 13 - Prob. 13.75ECh. 13 - Prob. 13.76ECh. 13 - Prob. 13.77ECh. 13 - Suppose you use p0,p1 and p+1 along with s...Ch. 13 - Show that the individual sp orbitals, as written...Ch. 13 - Prob. 13.80ECh. 13 - What is the rough hybridization of the carbon...Ch. 13 - Determine the symmetry species of the D3h point...Ch. 13 - Determine the D3h symmetry species of the sp3d...Ch. 13 - Prob. 13.84ECh. 13 - In propene CH3CH=CH2, the first carbon has sp3...Ch. 13 - Prob. 13.87ECh. 13 - Prob. 13.88ECh. 13 - Prob. 13.89E
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- 142. A mixture of H2(g) and N2(g) has a density of 0.216 g/liter at 300 K and 500 torr. What is the mole fraction composition of the mixture?arrow_forwardOne liter of N2(g) at 2.1 bar and two liters of Ar(g) at 3.4 bar are mixed in a 4.0 liter flask to form an ideal gas mixture. Calculate the value of the final pressure of the mixture if the initial and final temperature of the gases are the same. Repeat this calculation if the initial temperature of the N2(g) and Ar(g) are 304 K and 402 K, respectively, and the final temperature of the mixture is 377 K.arrow_forward10 5 4. These four 'H NMR spectra were recorded from different isomers with molecular formula CsH,CIO. They all contain a carbonyl group. Determine the structure of the different isomers. 0 10 5 0 10 5 10 9 8 7 6 5 4 3. 1 0 9 10 10 66 9 0 10 9 10 5 1 8 7 6 5 3 2 -a 8 7 6 5 1 10 9 8 7 6 5 22 2 1 0 3 2 16 1 0 3 2 1 2 6 0arrow_forward
- Use the expression below to ⚫ calculate its value and report it to the proper number of significant digits (you may need to round your answer). ⚫ calculate the % error (or % relative error or % inherent error) ⚫ calculate the absolute error. (20.54±0.02 × 0.254±0.003) / (3.21±0.05) = Value: % Error: Absolute error: ± | % (only 1 significant digit) (only 1 significant digit)arrow_forwardIn each case (more ductile, more brittle, more tough or resistant), indicate which parameter has a larger value. parameter Elastic limit Tensile strength more ductile Strain at break Strength Elastic modulus more fragile more tough or resistantarrow_forwardNonearrow_forward
- What functional groups are present in this IRarrow_forwardIn each case (more ductile, more brittle, more tough or resistant), indicate which parameter has a larger value. parameter Elastic limit Tensile strength more ductile Strain at break Strength Elastic modulus more fragile more tough or resistantarrow_forward4) A typical bottle of pop holds carbon dioxide at a pressure of 5 atm. What is the concentration of carbon dioxide in th solution? 5) A stream flowing over rocks and such is exposed to the atmosphere and well aerated. What would be the nitrogen concentration in the water at 25°C? (Air pressure is 1.000 bar.)arrow_forward
- Use the expression below to ⚫ calculate its value and report it to the proper number of significant digits (you may need to round your answer). ⚫ calculate the % error (or % relative error or % inherent error) ⚫ calculate the absolute error. (30.078±0.003) - (20.174±0.001) + (9.813±0.005) = Value: % Error: absolute error: ± % (only 1 significant digit) (only 1 significant digit)arrow_forwardDon't used Ai solution and don't used hand raitingarrow_forwardCircle the letter next to the most appropriate response. 1) Which is likely to be the least soluble with water? a) hexane b) acetone c) trichloromethane d) trinitro-toluene 2) Which is likely to be the most soluble in 3,4-dimethyloctane? a) hexane b) acetone c) trichloromethane d) trinitro-toluene 3) When ammonium nitrate is dissolved in water, the solution: a) gets warmer. b) gets colder. c) stays the same temperature. d) is none of the above because potassium nitrate is insoluble.arrow_forward
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