EBK PHYSICAL CHEMISTRY
2nd Edition
ISBN: 8220100477560
Author: Ball
Publisher: Cengage Learning US
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Chapter 4, Problem 4.56E
Use the Gibbs-Helmholtz equation to demonstrate that
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A chromatogram with ideal Gaussian bands has tR = 9.0 minutes and w1/2 = 2.0 minutes. Find the number of theoretical plates that are present, and calculate the height of each theoretical plate if the column is 10 centimeters long.
An open tubular column has an inner diameter of 207 micrometers, and the thickness of the stationary phase on the inner wall is 0.50 micrometers. Unretained solute passes through in 63 seconds and a particular solute emerges at 433 seconds. Find the distribution constant for this solute and find the fraction of time spent in the stationary phase.
Chapter 4 Solutions
EBK PHYSICAL CHEMISTRY
Ch. 4 - List the sets of conditions that allow dS, dU, and...Ch. 4 - Explain why conditions for using S>0 as a strict...Ch. 4 - Explain how the equation dU+pdVTdS0 is consistent...Ch. 4 - Explain why the spontaneity conditions given in...Ch. 4 - Prove that the adiabatic free expansion of an...Ch. 4 - Derive equation 4.6 from equation 4.5.Ch. 4 - Derive equation 4.8 from equation 4.7.Ch. 4 - The third part of equation 4.9 mentions a...Ch. 4 - Calculate A for a process in which 0.160mole of an...Ch. 4 - What is the maximum amount of non-pV work that can...
Ch. 4 - Consider a piston whose compression ratio is 10:1;...Ch. 4 - When one dives, water pressure increases by 1atm...Ch. 4 - Calculate G(25C) for this chemical reaction, which...Ch. 4 - Thermodynamic properties can also be determined...Ch. 4 - Calculate G in two different ways for the...Ch. 4 - Calculate G in two different ways for the...Ch. 4 - For the reaction C(graphite)C(diamond) at 25C,...Ch. 4 - Determine G for the following reaction at 0C and...Ch. 4 - What is the maximum amount of electrical that is,...Ch. 4 - When a person performs work, it is non-pV work....Ch. 4 - Can non-pV work be obtained from a process for...Ch. 4 - Can pV work be obtained from a process for which...Ch. 4 - Batteries are chemical systems that can be used to...Ch. 4 - The value of G for any phase change at constant p...Ch. 4 - The value of G for any phase change at constant p...Ch. 4 - Under what conditions is A=0 for a phase change?...Ch. 4 - Example 4.2 calculated A for one step of a Carnot...Ch. 4 - Can CV and Cp be easily defined using the natural...Ch. 4 - Analogous to equation 4.26, what is the expression...Ch. 4 - Prob. 4.30ECh. 4 - Prob. 4.31ECh. 4 - Prob. 4.32ECh. 4 - Although ideally, U=H=0 for a gas-phase process at...Ch. 4 - Use equations 4.21 and 4.25 to explain why H and G...Ch. 4 - Prob. 4.35ECh. 4 - Which of the following functions are exact...Ch. 4 - Prob. 4.37ECh. 4 - Prob. 4.38ECh. 4 - Prob. 4.39ECh. 4 - Equation 4.19 says that (UV)S=p If we are...Ch. 4 - For an isentropic process, what is the approximate...Ch. 4 - Use the ideal gas law to demonstrate the cyclic...Ch. 4 - Prob. 4.43ECh. 4 - Prob. 4.44ECh. 4 - Evaluate (U/V)T for an ideal gas. Use the...Ch. 4 - Evaluate (U/V)T for a van der Waals gas. Use the...Ch. 4 - Repeat the previous exercise for a gas that...Ch. 4 - Determine an expression for (p/S)T for an ideal...Ch. 4 - Determine the value of the derivative {[(G)]/T}p...Ch. 4 - Prob. 4.50ECh. 4 - Prob. 4.51ECh. 4 - A 0.988-mole sample of argon expands from 25.0L to...Ch. 4 - A 3.66-mol sample of He contracts from 15.5L to...Ch. 4 - Prob. 4.54ECh. 4 - Prob. 4.55ECh. 4 - Use the Gibbs-Helmholtz equation to demonstrate...Ch. 4 - For the equation 2H2(g)+O2(g)2H2O(g)...Ch. 4 - Use equation 4.46 as an example and find an...Ch. 4 - What is the value of G when 1.00mol of water at...Ch. 4 - Prob. 4.60ECh. 4 - Prob. 4.61ECh. 4 - Prob. 4.62ECh. 4 - Prob. 4.63ECh. 4 - Prob. 4.64ECh. 4 - What is the change in the chemical potential of a...Ch. 4 - Prob. 4.66ECh. 4 - Prob. 4.67ECh. 4 - Prob. 4.68ECh. 4 - Prob. 4.69ECh. 4 - Can equation 4.62 be used to calculate for an...Ch. 4 - Prob. 4.71ECh. 4 - Of helium and oxygen gases, which one do you...Ch. 4 - Prob. 4.73ECh. 4 - Use equation 4.39 to determine a numerical value...Ch. 4 - Prob. 4.75ECh. 4 - Prob. 4.76E
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- Consider a chromatography column in which Vs= Vm/5. Find the retention factor if Kd= 3 and Kd= 30.arrow_forwardTo improve chromatographic separation, you must: Increase the number of theoretical plates on the column. Increase the height of theoretical plates on the column. Increase both the number and height of theoretical plates on the column. Increasing the flow rate of the mobile phase would Increase longitudinal diffusion Increase broadening due to mass transfer Increase broadening due to multiple paths You can improve the separation of components in gas chromatography by: Rasing the temperature of the injection port Rasing the temperature of the column isothermally Rasing the temperature of the column using temperature programming In GC, separation between two different solutes occurs because the solutes have different solubilities in the mobile phase the solutes volatilize at different rates in the injector the solutes spend different amounts of time in the stationary phasearrow_forwardplease draw and example of the following: Show the base pair connection(hydrogen bond) in DNA and RNAarrow_forward
- Naming and drawing secondary Write the systematic (IUPAC) name for each of the following organic molecules: CH3 Z structure CH3 CH2 CH2 N-CH3 CH3-CH2-CH2-CH-CH3 NH CH3-CH-CH2-CH2-CH2-CH2-CH2-CH3 Explanation Check ☐ name ☐ 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy C Garrow_forwardC This question shows how molecular orbital (MO) theory can be used to understand the chemical properties of elemental oxygen O₂ and its anionic derivative superoxide Oz. a) Draw the MO energy diagram for both O2 and O2. Clearly label your diagram with atomic orbital names and molecular orbital symmetry labels and include electrons. Draw the Lewis structure of O2. How does the MO description of O2 differ from the Lewis structure, and how does this difference relate to the high reactivity and magnetic properties of oxygen? ) Use the MO diagram in (a) to explain the difference in bond length and bond energy between superoxide ion (Oz, 135 pm, 360 kJ/mol) and oxygen (O2, 120.8 pm, 494 kJ/mol).arrow_forwardPlease drawarrow_forward
- -Page: 8 nsition metal ions have high-spin aqua complexes except one: [Co(HO)₁]". What is the d-configuration, oxidation state of the metal in [Co(H:O))"? Name and draw the geometry of [Co(H2O)]? b) Draw energy diagrams showing the splitting of the five d orbitals of Co for the two possible electron configurations of [Co(H2O)]: Knowing that A = 16 750 cm and Пl. = 21 000 cm, calculate the configuration energy (.e., balance or ligand-field stabilization energy and pairing energy) for both low spin and high spin configurations of [Co(H2O)]. Which configuration seems more stable at this point of the analysis? (Note that 349.76 cm = 1 kJ/mol) Exchange energy (IT) was not taken into account in part (d), but it plays a role. Assuming exchange an occur within t29 and within eg (but not between tz, and ea), how many exchanges are possible in the low in configuration vs in the high spin configuration? What can you say about the importance of exchange energy 07arrow_forwardDraw everything please on a piece of paper explaining each steparrow_forwardDefine crystalline, polycrystalline and amorphous materials What crystal system and Bravais lattices are shown in the figure immediately below? What do a, b, C, a, ẞ and y represent and what are their values? You can label the Bravais lattices directly above or under the figure. C aarrow_forward
- 32. The diagrams below show the band structure of an intrinsic semiconductor at absolute zero and room temperature. Room Temperature EF E OK Ep- a) In the space below, sketch a similar pair of diagrams for an n-type semiconductor. D) Give the definition and an example of (i) an intrinsic semiconductor and (ii) an n-type semiconductor.arrow_forward29. a) i Which energy diagram best represents the d-electrons in tetrahedral [Co(NH3)4]²+? b) ii c) iii d) iv 11 ་ ↑↓ ↑t t ↑↓ ↑↓ e) none of these ii In1 According to Slater's rules, what is the effective nuclear charge experienced by a 3d electron in 30. Ge? a) 32.00 b) 21.15 c) 16.05 d) 14.00 e) 10.85arrow_forwardRegarding Lowis structuros and geometrios, Draw Lewis structures for the following: SOF4, SO, ICI, XeO2F4, SeF and XeO3. For each one, indicate the observed molecular geometry it adopts.arrow_forward
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