Question: Given That The Formation Constant For Ag(CN)2-, Kf = 6×1018 And The Solubility Product Constant For AgI, Ksp = 1.5 X 10-16, Calculate The Equilibrium Constant For Net Reaction From The Question Above. Due to how large formation constants often are it is not uncommon to see them listed as logarithms in the form \(\log K_f\). Explain. The ligands are any combination of anions that can donate an electron pair, effectively meaning they are all Lewis bases. I seem to be getting the question wrong I keep getting 3.33*10^-22, can someone please help, full points to whoever … Overall (Cumulative) Formation Constants. The properties tabulated are: ∆fH° Standard molar enthalpy (heat) of formation … For tabulation purposes, standard formation enthalpies are all given at a single temperature: 298 K, represented by the symbol Δ f H ⦵ 298 K. Hess's … Equilibrium. Comprehensive Coordination Chemistry: The Synthesis, Reactions, Properties & Applications of Coordination Compounds. Yet with every step the number of sites decreases making it increasingly more difficult. For more information contact us at info@libretexts.org or check out our status page at https://status.libretexts.org. Vol. For example, observe the formation reaction of the dicyanoargentate(I) ion and the resulting formation constant expression: \[ Ag^+_{(aq)} + 2CN^-\, _{(aq)} \rightleftharpoons Ag(CN)_2^- \, _{(aq)}\], \[ K_f = \dfrac{[Ag(CN)_2^-]}{[Ag^{+}][CN^{-}]^{2}} = 5.6 \times 10^{18}\]. This is merely the inverse value of the formation constant and as such describes the instability of a complex ion. Common metal/ligand \(K_f\) values are tabulated in Table E4. %PDF-1.5 %���� General Chemistry: Principles and Modern Applications. endstream endobj startxref In general, chemical equilibrium is reached when the forward reaction rate is equal to the reverse reaction rate and can be described using an equilibrium constant, \(K\). Formation Constants for Complex Ions. At its most basic level, \(K_f\) can be explained as the following, where \(M\) is a metal ion, \(L\) is a ligand, and \(x\) and \(y\) are coefficients: \(K_f\) values tend to be very large in magnitude because complex ion formation reactions heavily favor the product. Based on the given values, rank the following complex ions from most to least stable. The key to solving this problem is to convert all of the given values into the same form. 1. h�Yo�0���[Uȷ�HU%��e�Vm�+�C "�%����;!�Z�J+���xf"H3���fix3�8� 9ʎ�jI$=;����F> =D�� Formation Constants for Complex Ions at 25 °C. 20 oC, ionic strength = 1 M Get to know your Apple Watch by trying out the taps swipes, and presses you'll be using most. endstream endobj 696 0 obj <>/Metadata 8 0 R/PageLayout/OneColumn/Pages 693 0 R/StructTreeRoot 12 0 R/Type/Catalog>> endobj 697 0 obj <>/Font<>>>/Rotate 0/StructParents 0/Type/Page>> endobj 698 0 obj <>stream Substances are listed by molecular formula in a modified Hill order; all compounds not containing carbon appear first, followed by those that contain carbon. Google Sites. In logarithm form \(K_f\)and \(K_d\) would be: \(\log K_{f} = \log(5.6 \times 10^{18}) = 18.7\), \(\log K_{d} = \log(1.8 \times 10^{-19}) = -18.7\), Example \(\PageIndex{2}\): Stepwise Equilbria. Al 3+ + 6 F − ⇌ [ AlF 6] 3−. Complex Ion Formation Constants Formula K f Formula K f Formula K f [Ag(CN) 2-5.6 x 10 18 [Co(ox) 3] 3-1 x 10 20 [HgI 4] 2-6.8 x 10 29 [Ag(EDTA)] 3-2.1 x 10 7 [Cr(EDTA)]-1 x 10 23 [Hg(ox) 2] 2-9.5 x 10 6 [Ag(en) 2] + 5.0 x 10 7 [Cr(OH) 4]-8 x 10 29 [Ni(CN) 4] 2-2 x 10 31 [Ag(NH 3) 2] + 1.6 x 10 7 [CuCl 4] 2-5 x 10 5 [Ni(EDTA)] 2-3.6 x 10 18 [Ag(SCN) 4] 3-1.2 x 10 10 [Cu(CN) 4] 3-2.0 x 10 … The table has three column entries, the first two being the parameters A and B which can be used to express K(T): K(T)/cm3 molecule–1 = A exp(B/T) (200 < T < 300 K) The third column entry in Table 3 is the calculated value of K at 298 K. Click here to let us know! Andalusia, Alabama: Pearson Publications Company, 2006. In this case we will convert all of them into the form Kf though any other form could be used as long as you are consistent. Rather, the purpose of this experiment is to calculate the formation constant, which leaves us in a bit of a quandary. �����YL������ X����:�;E��m��l��;�fp. This reaction can be described in terms of chemical equilibria. K. f 7 × 10 19. Ligands can be neutral molecules, such as … The creation of \([Ni(en)_3]^{2+}\) is a three step process with the following stepwise formation constants \(K_1 = 3.3 \times 10^{7}\), \(K_2 = 1.9 \times 10^{6}\), and \(K_3 = 1.8 \times 10^{4}\). Formation Constants of Complex Ions at 25 °C Complex Ion Equilibrium . IMFs; 6. Ca 2+), thus forming a metal ion buffer. You may notice that each stepwise formation constant is smaller than the one before it. It is a measure of the strength of the interaction between the reagents that come together to form the complex.There are two main kinds of complex: compounds formed by the interaction of a metal ion with a ligand and supramolecular … See Table 13-3 for information on Eriochrome black T and other indicators. If you wanted to find the formation constant of one of the intermediate steps, you would simply take the product of the \(K\) values up until that point. This constant may be called a stability constant or association constant; the units depend on the specific reaction it is describing. This chemistry video tutorial provides a basic introduction into complex ion equilibria. chapters . It is because of this that the creation of tetraamminecuprate(II) ion is a multi-step affair, the ammine ligands have to displace the existing aqua ligands. Take the product of the stepwise formation constants up until the step you are trying to find. The formation reaction is a constant pressure and constant temperature process. If high enough concentrations of ammonia are added to the solution, the solid silver bromide will dissolve despite the solution previously having been saturated. Formation Constants of Complex Ions www.vaxasoftware.com Complex ion Kf Complex ion Kf [Ag(CN)2]– 5.6 × 1018 [CuI 2] – 8.0 × 108 [Ag(EDTA)]3– 2.1 × 107 [Fe(CN) 6] 3– 1.0 × 1042 [Ag(NH3)2] + 1.6 × 107 [Fe(CN) 6] 4– 1.0 × 1037 [Ag(S2O3)2] 3– 1.7 × 1013 [Fe(EDTA)]– 1.7 × 1024 [Ag(SCN)4]3– 1.2 × 1010 [Fe(EDTA)]2– 2.1 × 1014 Adopted a LibreTexts for your class? formation constant, K f. However, the formation constant is not known. 1. 3. Ksp and Kf problem 6. An equilibrium constant can then be determined for each mixture; the average should be the equilibrium constant value for the formation of the FeSCN 2+ ion. Formation Constants and Thermodynamic Parameters of Copper Chelate Complexes at 20°C. This table gives the standard state chemical thermodynamic properties of about 2400 individual substances in the crystalline, l iquid, and gaseous states. Cd2+ + 4CN− ⇌ [Cd (CN)4]2− Cd 2 + + 4 CN − ⇌ [ Cd (CN) 4] 2 −. Or are they the same thing? Since the pressure of the standard formation reaction is fixed at 1 bar, the standard formation enthalpy or reaction heat is a function of temperature. As seen here and above the standard notation for these values is a lowercase beta. (usually low) of metal ions (e.g. When a metal ion reacts with a Lewis base in solution a complex ion is formed. In organic chemistry and biochemistry it is customary to use pK a values for acid dissociation equilibria. As seen in the fractional composition diagram, most EDTA is not Y4− below pH 10.37. Formation Constants for EDTA 2. This decreasing trend is due to the effects of entropy, causing each step to be progressively less likely to occur. Ethylenediamine ligands displace two at a time and ammine ligands displace one at a time. Colligative Property Constants Data … Chemistry: The Central Science. Calculate the concentration of Ag+ in a solution prepared by mixing equal volumes of 1.9*10^-3M AgNO3 and 0.18 M NaCN. Kf. Legal. Ksp and Kf problem 7. a. Upper Saddle River, New Jersey: Pearson Education, 2007. The formation constant, Kf, is the equilibrium constant for the formation of a complex ion and values are typically large (10⁵-10²⁰). \[[Cu(H_2O)_4]^{2+}_{(aq)} + NH_{3 \; (aq)} \rightleftharpoons [Cu(H_2O)_3(NH_3)]^{2+}_{(aq)} + H_2O_{(l)}\], \[K_{1} = \dfrac{[[Cu(H_2O)_3(NH_3)]^{2+}]}{[[Cu(H_2O)_4]^{2+}][NH_3]} = 1.9 \times 10^4\], \[[Cu(H_2O)_3(NH_3)]^{2+}_{(aq)} + NH_{3 \; (aq)} \rightleftharpoons [Cu(H_2O)_2(NH_3)_2]^{2+}_{(aq)} + H_2O_{(l)}\], \[K_{2} = \dfrac{[[Cu(H_2O)_2(NH_3)_2]^{2+}]}{[[Cu(H_2O)_3(NH_3)]^{2+}][NH_3]} = 3.9 \times 10^3\], \[[Cu(H_2O)_2(NH_3)_2]^{2+}_{(aq)} + NH_{3 \; (aq)} \rightleftharpoons [Cu(H_2O)(NH_3)_3]^{2+}_{(aq)} + H_2O_{(l)}\], \[K_{3} = \dfrac{[[Cu(H_2O)(NH_3)_3]^{2+}]}{[[Cu(H_2O)_2(NH_3)_2]^{2+}][NH_3]} = 1.0 \times 10^3\], \[[Cu(H_2O)(NH_3)_3]^{2+}_{(aq)} + NH_{3 \; (aq)} \rightleftharpoons [Cu(NH_3)_4]^{2+}_{(aq)} + H_2O_{(l)}\], \[K_{4} = \dfrac{[[Cu(NH_3)_4]^{2+}]}{[[Cu(H_2O)(NH_3)_3]^{2+}][NH_3]} = 1.5 \times 10^2\], \[K_f = \beta_4 = K_{1} \times K_{2} \times K_{3} \times K_{4} = 1.1 \times 10^{13}\], \[K_f = \dfrac{[[Cu(H_2O)_3(NH_3)]^{2+}]}{[[Cu(H_2O)_4]^{2+}][NH_3]} \times \dfrac{[[Cu(H_2O)_2(NH_3)_2]^{2+}]}{[[Cu(H_2O)_3(NH_3)]^{2+}][NH_3]} \times \\ \dfrac{[[Cu(H_2O)(NH_3)_3]^{2+}]}{[[Cu(H_2O)_2(NH_3)_2]^{2+}][NH_3]} \times \dfrac{[[Cu(NH_3)_4]^{2+}]}{[[Cu(H_2O)(NH_3)_3]^{2+}][NH_3]}\], \[= \dfrac{[[Cu(NH_3)_4]^{2+}]}{[[Cu(H_2O)_4]^{2+}][NH_3]^{4}} = K_f\]. Reference: Quantitative Chemical Analysis, 9th Edition, Harris. The formation of … What is the difference between a formation constant and an equilibrium constant? 7. Assume that there is no volume change when the Cu(NO3)2 is added to the solution. Atomic Theory; 4. 9th ed. Using this information find the overall formation constant and the formation constant for each of the intermediate steps. [ "article:topic", "Lewis Base", "complex ion", "formation constant", "Complex-Ion Equilibria", "chemical equilibria", "showtoc:no", "metal ion", "coordinate covalent bonds", "stability constant", "association constant", "Chelation Effect", "Solubility Effects" ], https://chem.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fchem.libretexts.org%2FBookshelves%2FInorganic_Chemistry%2FModules_and_Websites_(Inorganic_Chemistry)%2FCoordination_Chemistry%2FComplex_Ion_Equilibria%2FComplex-Ion_Equilibria, information contact us at info@libretexts.org, status page at https://status.libretexts.org. When combined they form coordinate covalent bonds. The dependence of the reaction rate constant on the amount of formamide in methanolic KF solutions has been determined by photometry. Reference: Quantitative Chemical Analysis, 9th Edition, Harris The formation constants are for the reaction: Mn+ + Y4- ⇌ MYn-4 Values in the table apply at 25 oC and an ionic strength of 0.1 M unless indicated otherwise. The larger the \(K_f\) value of a complex ion, the more stable it is. The smallest? 8.4 X 102 3.7 X 1034 2.7 X 10-35 4.0 X 102 1.0 X 1014 . Top. ×. How can we create a series of solutions of known FeNCS 2+ concentrations without knowing the equilibrium constant? Kf. You can think of this in the following way, continuing with the previous example: When the first ammine ligand goes to displace an aqua ligand it has four sites from which to choose from, making it "easier" to displace one. Association and dissociation constants. = − = where log denotes a logarithm to base 10 or common logarithm, and K diss is a stepwise acid dissociation constant. This additional stability is known as the chelation effect. 2. Cd2+ + 4NH3 ⇌ [Cd (NH3)4]2+ Cd 2 + + 4 NH 3 ⇌ [ Cd (NH 3) 4] 2 +. Here are some helpful navigation tips and features. In Part A of this experiment, you will prepare FeSCN 2+ solutions of known concentrations, measure their absorbances at 470 nm, and produce a calibration curve. Generally, complex ions with polydentate ligands have much higher formation constants than those with monodentate ligands. See the answer . 3. Complex ions are composed of a central metal ion bound to one or more ligands. An equilibrium constant can then be determined for each mixture; the average should be the equilibrium constant value for the formation of the FeSCN2+ ion. As an example let's look at the formation of tetraamminecuprate(II) ion in solution: \[[Cu(H_2O)_4]^{2+}_{(aq)} + 4NH_{3 \; (aq)} \rightleftharpoons [Cu(NH_3)_4]^{2+}_{(aq)} + 4H_2O_{(l)}\]. Conditional Formation Constant The formation constant Kf = [MYn − 4]/[Mn+][Y4−] describes the reaction between Y4− and a metal ion. Formation Constants for Complex Ions. Heats of Transition Heat of fusion and vaporization for some select substances. Al3+ + 6F− ⇌ [AlF6]3− Al 3 + + 6 F − ⇌ [ AlF 6] 3 −. The equilibrium constant for this reaction is written as a formation constant kf: kf= [FeSCN2+ In calculations however, the concentration of water and the number of aqua ligands are effectively constant meaning that they can be safely ignored. For example, let's say we have a saturated solution of silver bromide (\(AgBr\)) which also contains additional undissolved solid silver bromide. Wilkinson, Geoffrey, Robert D. Gillard, and Jon A. McCleverty, eds. × 10 19. h�b``e``�f```�xǀ Ksp and Kf problem 8. This formation constant, Kf, describes the formation of a complex ion from its central ion and attached ligands. After converting it is easy to rate the ions in terms of stability. Theory/Principles: In a dilute solution where there is a large amount of Fe3+ present, the Fe3+ will react with SCN-to form a complex ion: Fe3+ (aq) + SCN-(aq) FeSCN2+ (aq) (reaction is reversible). For example, the formation of the bis(ethylenediamine)cuprate(II) ion is identical to the tetraamminecuprate(II) ion above except the ethylenediamine ligands displace two aqua ligands at a time. The reason for using the hydrated form of the copper ion is that cations in solution usually exist in their hydrated form. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Each step of this process has its own formation constant, and as with other chemical equilibria, the overall reaction constant is the product of these stepwise formation constants. Complex ion equilibria are no exception to this and have their own unique equilibrium constant. 1.3 × 10 7. 11/15/2010 2 Complexation Equilibria • In predicting the completeness of a reaction (complexation, precipitation…), we need to account for all equilibria involving M and L. • Often specify conditions for a given systemOften specify conditions for a given system - Conditional FormationConditional Formation Constants (K') • Conditional Formation Constant … Post by Chem_Mod » Fri Nov 06, 2015 8:54 pm . Equilibrium K f [latex]{\text{Al}}^{\text{3+}}\text{+}6{\text{F}}^{-}\rightleftharpoons{\left[{\text{AlF}}_{6}\right]}^{\text{3-}}[/latex] [latex]7\times{10}^{19}[/latex] Using the above example, the dissociation constant expression would be: \(K_{d} = \dfrac{1}{K_f} = \dfrac{[Ag^{+}][CN^{-}]^{2}}{[[Ag(CN)_2]^{-}]} = 1.8 \times 10^{-19}\). The central atom can be any metallic ion (usually a transition metal). 1. Formation Constants, K f Table of K f for several complex ions. Silver ion reacts with excess CN- to form a colorless complex ion, Ag(CN)2-, which has a formation constant Kf=3.0*10^20. However, bipotentiometric titration in pure formamide is principally possible; the … Fundamentals; 2. N. pag. Unless otherwise noted, LibreTexts content is licensed by CC BY-NC-SA 3.0. Oxford, England: Pergamon Press, 1987. The textbook and course reader each use a different one. Toggle navigation. 20 oC, ionic strength = 0.1 M b. For example the formation constant of \([Cu(H_2O)_2(NH_3)_2]^{2+}\) would be \(\beta_2 = K_{1} \times K_{2} = 7.4 \times 10^7\). Example in section 15-6: What concentration of NTA 3-should be added to 0 Cd 2+ + 4 NH 3 ⇌ [ Cd ( NH 3) 4] 2 +. Equilibrium. The species HY3−, H2Y2−, and so on, predominate at … Chem_Mod Posts: 19373 Joined: Thu Aug 04, 2011 8:53 pm Has upvoted: 871 times. 10th ed. Give your answer accurate to two signficant figures. 718 0 obj <>/Filter/FlateDecode/ID[<4C5D2072EDB2B745B58D4AE8EEE035C3><5793BAC8585AA549946610442D0DEFD4>]/Index[695 40]/Info 694 0 R/Length 108/Prev 81873/Root 696 0 R/Size 735/Type/XRef/W[1 3 1]>>stream A complex ion is comprised of two important parts: the central atom and its surrounding ligands. 3 × 10 18. This constant may be called a stability constant or association constant; the units depend on the specific reaction it is describing. 7 vols. \([Ni(CN)_4]^{2-}\) \(\log(K_d) = -31.3 \longrightarrow K_f = 2.0 \times 10^{31}\), \([Co(NH_3)_6]^{3+}\) \(K_d = 2.2 \times 10^{-34} \longrightarrow K_f = 4.5 \times 10^{33}\), \([Cu(CN)_4]^{3-}\) \(\log(K_f) = 30.3 \longrightarrow K_f = 2.0 \times 10^{30}\). The formation constant of [Pd(CN) 4] 2 − was determined by the competition method. Katherine Barrett, Gianna Navarro, Christopher May (UCD). Of \([Ni(en)_3]^{2+}\), \([Ni(EDTA)]^{2-}\), and \([Ni(NH_3)_6]^{2+}\) which would you expect to have the largest kf value? 2. Al 3+ + 6 F − ⇌ [ AlF 6] 3−. In Part A of this experiment, you will prepare FeSCN2+ solutions of known concentrations, mea- sure their absorbances at 470 nm, and produce a calibration curve. Re: Formation Constant vs. Equilibrium constant. Brown, Theodore, Eugene Lemay, Bruce Bersten, and Catherine Murphey. For bases, the base … Constant & conversion factors; Atomic parameters (IE, EA, D, ...) Thermodynamic data; Atomic and ionic radii ; Lattice thermodynamics; Acid-base; Redox & Coordination Kf; Spectroscopy; Solvent data (including Kf,Kb) Solubility data; Substituent constants; vapor pressure H2O; Molecular parameters; Character Tables; Links; Solvent data (including Kf,Kb) Molal Freezing … As always though, there are exceptions to this rule. \([Cr(OH)_4]^{-}\) \(K_f = 8.0 \times 10^{29}\), \([Ni(CN)_4]^{2-}\) \(\log(K_d) = -31.3\), \([Co(NH_3)_6]^{3+}\) \(K_d = 2.2 \times 10^{-34}\). It may help to think of \(K_f\) and \(K_d\) as stability and instability constants, respectively. Complex Log K f ΔH f o (kJ/mol) ΔS f o (J/mol) Comment; 17.0 − 117− 74: 2(6-ring) 20.6 − 114.3 + 42(5-rings) 21.7 − 102 + 67: 1(5-ring) + 2(6-rings)23.9 − 114+ 68: 2(5-rings) + 1(6-ring)27.2 − 133 + 662(5-rings) + 2(6-rings) Macrocyclic effect: when chelating agent itself a … Given that the formation constant for Ag(CN) 2-, K f = 6×10 … First ed. If the values do not continually decrease then the structure of the complex ion likely changed during one of the steps. Gases; 3. The overall formation constant for Cu(NH3)42+ is 1.1x1013 at 25oC. 695 0 obj <> endobj You may also see them in the form of a dissociation constant, \(K_d\) (which should not be confused with pKa). \([Ni(H_2O)_4(en)]^{2+}\) \(\beta_1 = K_1 = 3.3 \times 10^{7}\), \([Ni(H_2O)_2(en)_2]^{2+}\) \(\beta_2 = K_1 \times K_2 = 6.8 \times 10^{13}\), \([Ni(en)_3]^{2+}\) \(\beta_3 = K_f = K_1 \times K_2 \times K_3 = 1.1 \times 10^{18}\). Complex Ion K f [Ag(CN) 2] – 5.6×10 18 [Ag(EDTA)] 3– 2.1×10 7 [Ag(en) 2] + 5.0×10 7 [Ag(NH 3) 2] + 1.6×10 7 [Ag(SCN) 4] 3– 1.2×10 10 [Ag(S 2 O 3) 2] 3– 1.7×10 13 [Al(EDTA)] – 1.3×10 16 [Al(OH) 4] – 1.1×10 33 [Al(ox) 3] 3– 2×10 16 [Cd(CN) 4] 2– 6.0×10 18 [Cd(en) 3] 2+ 1.2×10 12 [Cd(NH 3) 4] 2+ 1.3×10 7 [Co(EDTA)] 2– … During the titration a blank consumption of I 2 occurs and some types of automatic KF titrators may be unable to detect an endpoint. ��Y����L�X��{��l1Fp?9��&E���7qS�lM�R?\E��"ج�i|YNE�a`�w.��}�2��S�qо*5�BPd��-�}����M��x�3(�8���El�AaV?��x�Y�j�͢u�f�WuI�3��Y�w^m69�$/�+��à7Lo��o3�{#{N�ƕ��� ^����Z �ņGcH��1��܌-3U ��V�Ba9w|YG_�Y:��ב��j�����9�@� ���8\6����J?��+���n2�Qk�AMwiV. When the complex ion with EDTA is formed, the EDTA ligand displaces six aqua ligands at once. Bonding; 5. Petrucci, Harwood, Herring, and Madura. Chem215/P.Li/EDTA titrations /P 12 Metal ion buffer Complexing agent, such as EDTA, can be used to maintain a constant conc . This is because of the formation diammineargentate(I) ion, illustrated by the following chemical equation: \(AgBr_{(s)} + 2NH_{3 \; (aq)} \rightarrow [Ag(NH_3)_2]^{+}_{(aq)} + Br^-_{(l)}\). Common metal/ligand Kf values are tabulated in Table E4. %%EOF molar mass (g/mol) N = 14.01 0 = 16.00 Cu = 63.55 Hint *** … Specific Heat Capacities Specific heat capacities for a selection of various substances. A stability constant is an equilibrium constant for the formation of a complex in solution that measures the strength of the interaction between the ligands and metal that form the complex. Thermo Based on this we would expect \([Ni(EDTA)]^{2-}\) to be the most stable and \([Ni(NH_3)_6]^{2+}\) to be the least stable. One might assume that the formation of complex ions is a one step process, however this is not always the case. Have questions or comments? ����=�|f����^` The overall (cumulative) formation constant, ß n, is for the reaction M + nL ⇌ ML n where ß n = [ML n]/([M][L] n) ß n is related to the stepwise formation constants (K i) by ß n = K 1 K 2...K n. Page updated. Table 3.6. What is [Cu2+] at equilibrium when 5.3 g Cu(NO3)2 is dissolved in 0.500 L of 0.700 mol/L NH3(aq)? We can use our knowledge of LeChatelier’s principle to determine how to … Thermodynamic Data Enthalpy of formation, free energy of formation, and absolute entropy values for numerous compounds. This formation constant, \(K_f\), describes the formation of a complex ion from its central ion and attached ligands. The LibreTexts libraries are Powered by MindTouch® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot.
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