Concept explainers
Interpretation:
The value of
Concept introduction:
In
Answer to Problem 11.19E
The value of
Explanation of Solution
The general wavefunction of harmonic oscillator is expressed as,
Substitute the value of
Substitute the value of
The value of
Substitute the value of
From Table 11.1, substitute the value of
The above equation show that
The integration of odd function going from
Therefore, equation (3) becomes,
Substitute the value of
From Table 11.1, substitute the value of
The above equation shows that
The integration of odd function going from
Therefore, equation (3) becomes,
Hence, the value of
The average momentum of harmonic oscillator is zero because the movement of mass takes place back and forth in both directions and momentum is a vector quantity.
The value of
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Chapter 11 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
- A carboxylic acid reacts with water to form a carboxylate ion and H,O+. Complete the reaction. reaction: (CH),CHCH2COOH + H2O (CH), CHCH, COO¯ + H₂O+ Write the IUPAC name of the carboxylate ion formed in the reaction. IUPAC name: BIU X2 SPECIAL GREEK ALPHABET ~ Iarrow_forwardShow work. Don't give Ai generated solutionarrow_forwardA solution contains 10-3 M (NH4)2CO3 plus 10-3 M CaCO3. (NH4+: pKa 9.26) a) Follow the four steps and list the species and equations that would have to be solved to determine the equilibrium solution composition. (15 pts) b) Prepare a log C-pH diagram for the solution. Use a full sheet of graph paper, and show the ranges 1≤ pH < 13 and -10≤ log C≤ -1. (10 pts) c) Use the graphical approach for the solution pH. What is the concentration of all species? (15 pts)arrow_forward
- Keggin structure.arrow_forwardGiven: N2(g) + 3H2(g)2NH3(g) AG° = 53.8 kJ at 700K. Calculate AG for the above reaction at 700K if the reaction mixture consists of 20.0 atm of N2(g), 30.0 atm of H2(g), and 0.500 atm of NH3(g). A) -26.9 kJ B) 31.1 kJ C) -15.6 kJ D) 26.9 kJ E) -25.5 kJarrow_forwardExplain the structure of the phosphomolybdate anion [PMo12O40]3-.arrow_forward
- Keggin structure of heteropolyanions.arrow_forwardPlease correct answer and don't used hand raitingarrow_forwardAt pil below about 35 woon (Fe) oxidizes in streams according to the following Water in a reservoir at 20°C has a pH of 7.7 and contains the following constituents: Constituent (g) + Conc. (mg/L) Ca2+ 38 HCO3 abiotic oxid 183 HO Ferrous iron under these conditions and at 20°Cis Estimate the activities of Ca2+ and HCO3-, using an appropriate equation to compute the activity coefficients. (atomic weight: Ca 40)arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning