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Taking the square root of the middle and right terms, \[\dfrac{x}{(0.0150x)} =(0.106)^{1/2}=0.326\nonumber \], \[x =0.00369=3.69 \times 10^{3}\nonumber \]. Substitute appropriate values from the ICE table to obtain \(x\). What is the partial pressure of NO in equilibrium with \(N_2\) and \(O_2\) in the atmosphere (at 1 atm, \(P_{N_2} = 0.78\; atm\) and \(P_{O_2} = 0.21\; atm\)? Again, \(x\) is defined as the change in the concentration of \(H_2O\): \([H_2O] = +x\). The equilibrium mixture contained. Which of the following happens when a reaction reaches - Brainly If the equilibrium favors the products, does this mean that equation moves in a forward motion? The equilibrium constant expression is written as follows: \[K_c = \dfrac{[G]^g[H]^h}{1 \times 1} = [G]^g[H]^h\]. Calculating Equilibrium Concentration - Steps and Solved Problems - Vedantu Direct link to RogerP's post That's a good question! 2) The concentrations of reactants and products remain constant. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The equilibrium constant for this reaction is 0.030 at 250 o C. Assuming that the initial concentration of PCl 5 is 0.100 moles per liter and there is no PCl 3 or Cl 2 in the system when we start, let's calculate the concentrations of PCl 5, PCl 3, and Cl 2 at equilibrium. The yellowish sand is covered with people on beach towels, and there are also some swimmers in the blue-green ocean. Given: balanced chemical equation, \(K\), and initial concentrations of reactants. Calculate all possible initial concentrations from the data given and insert them in the table. Then substitute the appropriate equilibrium concentrations into this equation to obtain \(K\). Substituting these concentrations into the equilibrium constant expression, \[K=\dfrac{[\textit{isobutane}]}{[\textit{n-butane}]}=0.041\; M = 2.6 \label{Eq2} \]. Construct a table showing initial concentrations, concentrations that would be present if the reaction were to go to completion, changes in concentrations, and final concentrations. Direct link to Zenu Destroyer of Worlds (AK)'s post if the reaction will shif, Posted 7 years ago. If the reaction were to go to completion, the concentration of ethane would be 0.155 M and the concentration of ethylene would be 0 M. Because the concentration of hydrogen is greater than what is needed for complete reaction, the concentration of unreacted hydrogen in the reaction mixture would be 0.200 M 0.155 M = 0.045 M. The equilibrium constant for the forward reaction is very large, so the equilibrium constant for the reverse reaction must be very small. The Equilibrium Constant is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by LibreTexts. Accessibility StatementFor more information contact us atinfo@libretexts.org. If 0.172 M \(H_2\) and \(I_2\) are injected into a reactor and maintained at 425C until the system equilibrates, what is the final concentration of each substance in the reaction mixture? Knowing this simplifies the calculations dramatically, as illustrated in Example \(\PageIndex{5}\). When the reaction is reversed, the equilibrium constant expression is inverted. When can we make such an assumption? Write the equilibrium constant expression for the reaction. We insert these values into the following table: C We use the stoichiometric relationships given in the balanced chemical equation to find the change in the concentration of \(Cl_2\), the substance for which initial and final concentrations are known: \[[Cl_2] = 0.028 \;M_{(final)} 0.00\; M_{(initial)}] = +0.028\; M\nonumber \]. This is a little off-topic, but how do you know when you use the 5% rule? Direct link to Isaac Nketia's post What happens if Q isn't e, Posted 7 years ago. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. At equilibrium, both the concentration of dinitrogen tetroxide and nitrogen dioxide are not changing with time. PDF Worksheet16 Equilibrium Key - University of Illinois Urbana-Champaign K Favors Products or Reactants - CHEMISTRY COMMUNITY This is the case for every equilibrium constant. Direct link to Srk's post If Q is not equal to Kc, , Posted 5 years ago. Explanation: Advertisement 2.59 x 10^24 atoms of Ga = ___mol Ga Because \(K\) is essentially the same as the value given in the problem, our calculations are confirmed. In order to reach equilibrium, the reaction will. We can check the results by substituting them back into the equilibrium constant expression to see whether they give the same \(K\) that we used in the calculation: \[K=\dfrac{[\text{isobutane}]}{[\text{n-butane}]}=\left(\dfrac{0.72\; \cancel{M}}{0.28\;\cancel{M}}\right) =2.6 \nonumber \]. Concentrations & Kc(opens in new window) [youtu.be]. The results we have obtained agree with the general observation that toxic \(NO\), an ingredient of smog, does not form from atmospheric concentrations of \(N_2\) and \(O_2\) to a substantial degree at 25C. B Initially, the system contains 1.00 mol of \(NOCl\) in a 2.00 L container. We enter the values in the following table and calculate the final concentrations. This reaction can be written as follows: \[H_{2(g)}+CO_{2(g)} \rightleftharpoons H_2O_{(g)}+CO_{(g)}\nonumber \]. The contents of the reactor were then analyzed and found to contain 0.056 mol of \(Cl_2\). Chapter 17 Flashcards | Quizlet the rates of the forward and reverse reactions are equal. . The initial concentrations of \(NO\) and \(Cl_2\) are \(0\; M\) because initially no products are present. We can then express the final concentrations in terms of the initial concentrations and the changes they have undergone. Given: balanced equilibrium equation, \(K\), and initial concentrations. The final \(K_p\) agrees with the value given at the beginning of this example. \[ aA_{(s)} + bB_{(l)} \rightleftharpoons gG_{(aq)} + hH_{(aq)} \]. Substituting the appropriate equilibrium concentrations into the equilibrium constant expression, \[K=\dfrac{[SO_3]^2}{[SO_2]^2[O_2]}=\dfrac{(5.0 \times 10^{-2})^2}{(3.0 \times 10^{-3})^2(3.5 \times 10^{-3})}=7.9 \times 10^4 \nonumber \], To solve for \(K_p\), we use the relationship derived previously, \[K_p=7.9 \times 10^4 [(0.08206\; Latm/molK)(800 K)]^{1}\nonumber \], Hydrogen gas and iodine react to form hydrogen iodide via the reaction, \[H_{2(g)}+I_{2(g)} \rightleftharpoons 2HI_{(g)}\nonumber \], A mixture of \(H_2\) and \(I_2\) was maintained at 740 K until the system reached equilibrium. The final concentrations are the sums of the initial concentrations and the changes in concentrations at equilibrium. Concentration of the molecule in the substance is always constant. Here, the letters inside the brackets represent the concentration (in molarity) of each substance. Write the equilibrium constant expression for the reaction. Check your answers by substituting these values into the equilibrium constant expression to obtain \(K\). Calculate the final concentrations of all species present. The chemical equation for the reaction of hydrogen with ethylene (\(C_2H_4\)) to give ethane (\(C_2H_6\)) is as follows: \[H_{2(g)}+C_2H_{4(g)} \overset{Ni}{\rightleftharpoons} C_2H_{6(g)}\nonumber \]. In such cases, we can obtain the equilibrium concentrations from the initial concentrations of the reactants and the balanced chemical equation for the reaction, as long as the equilibrium concentration of one of the substances is known. when setting up an ICE chart where and how do you decide which will be -x and which will be x? Thus we must expand the expression and multiply both sides by the denominator: \[x^2 = 0.106(0.360 1.202x + x^2)\nonumber \]. Direct link to KUSH GUPTA's post The equilibrium constant , Posted 5 years ago. "Kc is often written without units, depending on the textbook.". Solved Select all the true statements regarding chemical | Chegg.com Direct link to Becky Anton's post Any videos or areas using, Posted 7 years ago. But you're totally right that if K is equal to 1 then neither products nor reactants are favored at equilibriumtheir concentrations (products as a whole and reactants as a whole, not necessarily individual reactants or products) are equal. For hydrofluoric acid, it is an aqueous solution, not a liquid, therefore it is dissolved in water (concentration can change - moles per unit volume of water). The reaction is already at equilibrium! Direct link to Vedant Walia's post why shouldn't K or Q cont, Posted 7 years ago. C The small \(x\) value indicates that our assumption concerning the reverse reaction is correct, and we can therefore calculate the final concentrations by evaluating the expressions from the last line of the table: We can verify our calculations by substituting the final concentrations into the equilibrium constant expression: \[K=\dfrac{[C_2H_6]}{[H_2][C_2H_4]}=\dfrac{0.155}{(0.045)(3.6 \times 10^{19})}=9.6 \times 10^{18}\nonumber \]. Each substance has a final partial pressure equal to the sum of the initial pressure and the change in that pressure at equilibrium. Substituting the expressions for the final concentrations of n-butane and isobutane from the table into the equilibrium equation, \[K=\dfrac{[\text{isobutane}]}{[\text{n-butane}]}=\dfrac{x}{1.00x}=2.6 \nonumber \]. Chapter 15 achieve Flashcards | Quizlet Which of the following statements best describes what occurs at equilibrium? Similarly, because 1 mol each of \(H_2\) and \(CO_2\) are consumed for every 1 mol of \(H_2O\) produced, \([H_2] = [CO_2] = x\). Direct link to doctor_luvtub's post "Kc is often written with, Posted 7 years ago. the reaction quotient is affected by factors just the same way it affects the rate of reaction. Construct a table showing the initial concentrations of all substances in the mixture. In other words, chemical equilibrium or equilibrium concentration is a state when the rate of forward reaction in a chemical reaction becomes equal to the rate of backward reaction. 2) Qc= 83.33 > Kc therefore the reaction shifts to the left. B Substituting values into the equilibrium constant expression, \[K=\dfrac{[C_2H_6]}{[H_2][C_2H_4]}=\dfrac{0.155x}{(0.045+x)x}=9.6 \times 10^{18}\nonumber \]. A ratio of molarities of products over reactants is usually used when most of the species involved are dissolved in water. Any suggestions for where I can do equilibrium practice problems? If you're seeing this message, it means we're having trouble loading external resources on our website. Thus \([NOCl]_i = 1.00\; mol/2.00\; L = 0.500\; M\). Given: balanced equilibrium equation and composition of equilibrium mixture. Then substitute values from the table into the expression to solve for \(x\) (the change in concentration). While gas changes concentration after the reaction, solids and liquids do not (the way they are consumed only affects amount of molecules in the substance). That is why this state is also sometimes referred to as dynamic equilibrium. with \(K = 9.6 \times 10^{18}\) at 25C. This equation can be solved using the quadratic formula: \[ x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a} = \dfrac{0.127 \pm \sqrt{(0.127)^24(0.894)(0.0382)}}{2(0.894)}\nonumber \], \[x =0.148 \text{ and } 0.290\nonumber \]. So, pure liquids and solids actually are involved, but since their activities are equal to 1, they don't change the equilibrium constant and so are often left out. at equilibrium. From the values in the table, calculate the final concentrations. Similarly, 2 mol of \(NOCl\) are consumed for every 1 mol of \(Cl_2\) produced, so the change in the \(NOCl\) concentration is as follows: \[[NOCl]= \left(\dfrac{0.028\; \cancel{mol\; Cl_2}}{L}\right) \left(\dfrac{2\; mol \;NOCl}{1\; \cancel{mol\; Cl_2}} \right) = -0.056 \;M\nonumber \]. Posted 7 years ago. Equilibrium constants can be used to calculate the equilibrium concentrations of reactants and products by using the quantities or concentrations of the reactants, the stoichiometry of the balanced chemical equation for the reaction, and a tabular format to obtain the final concentrations of all species at equilibrium. Under these conditions, there is usually no way to simplify the problem, and we must determine the equilibrium concentrations with other means. Thus K at 800C is \(2.5 \times 10^{-3}\). and isn't hydrofluoric acid a pure liquid coz i remember Sal using it in the video of Heterogenous equilibrium so why did he use it? Any videos or areas using this information with the ICE theory? Can i get help on how to do the table method when finding the equilibrium constant. Using the Haber process as an example: N 2 (g) + 3H 2 (g . Direct link to Bhagyashree U Rao's post You forgot *main* thing. Construct a table showing what is known and what needs to be calculated. A \([CO_2]_i = 0.632\; M\) and \([H_2]_i = 0.570\; M\). Example \(\PageIndex{3}\) illustrates a common type of equilibrium problem that you are likely to encounter. Accessibility StatementFor more information contact us atinfo@libretexts.org. We begin by writing the balanced chemical equation at the top of the table, followed by three lines corresponding to the initial concentrations, the changes in concentrations required to get from the initial to the final state, and the final concentrations. Write the equilibrium constant expression for the reaction. reactants are still being converted to products (and vice versa). We can now calculate the equilibrium constant for the reaction: \[K=\dfrac{[NO]^2[Cl_2]}{[NOCl]^2}=\dfrac{(0.056)^2(0.028)}{(0.444)^2}=4.5 \times 10^{4}\nonumber \], The German chemist Fritz Haber (18681934; Nobel Prize in Chemistry 1918) was able to synthesize ammonia (\(NH_3\)) by reacting \(0.1248\; M \;H_2\) and \(0.0416\; M \;N_2\) at about 500C. If a mixture of 0.257 M \(H_2\) and 0.392 M \(Cl_2\) is allowed to equilibrate at 47C, what is the equilibrium composition of the mixture? Say if I had H2O (g) as either the product or reactant. How is the Reaction Constant (Q) affected by change in temperature, volume and pressure ? Direct link to Everett Ziegenfuss's post Would adding excess react, Posted 7 years ago. Just as before, we will focus on the change in the concentrations of the various substances between the initial and final states. Write the Partial Pressure Equilibrium: \[ C_{(s)} + O_{2 (g)} \rightarrow CO_{2 (g)}\], Write the chemicl reaction for the following equilibrium constant: \[K_p= \dfrac{P^2_{HI}}{P_{H_2} \times P_{I_2}}\]. The LibreTexts libraries arePowered by NICE CXone Expertand 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. Direct link to tmabaso28's post Can i get help on how to , Posted 7 years ago. Because the initial concentration of ethylene (0.155 M) is less than the concentration of hydrogen (0.200 M), ethylene is the limiting reactant; that is, no more than 0.155 M ethane can be formed from 0.155 M ethylene. How can you have a K value of 1 and then get a Q value of anything else than 1? For very small values of, If we draw out the number line with our values of. Solved 1. When a chemical system is at equilibrium, A. the | Chegg.com N 2 O 4 ( g) 2 NO 2 ( g) Solve for the equilibrium concentrations for each experiment (given in columns 4 and 5). If we define \(x\) as the change in the ethane concentration for the reverse reaction, then the change in the ethylene and hydrogen concentrations is \(+x\). { Balanced_Equations_and_Equilibrium_Constants : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Calculating_an_Equilibrium_Concentration : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Calculating_An_Equilibrium_Concentrations : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Calculating_an_Equilibrium_Constant_Kp_with_Partial_Pressures : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Determining_the_Equilibrium_Constant : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Difference_Between_K_And_Q : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Dissociation_Constant : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Effect_of_Pressure_on_Gas-Phase_Equilibria" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Equilibrium_Calculations : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Kc : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Kp : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Law_of_Mass_Action : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Mass_Action_Law : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Principles_of_Chemical_Equilibria : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", The_Equilibrium_Constant : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", The_Reaction_Quotient : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "Acid-Base_Equilibria" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Chemical_Equilibria : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Dynamic_Equilibria : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Heterogeneous_Equilibria : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Le_Chateliers_Principle : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Physical_Equilibria : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Solubilty : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, [ "article:topic", "equilibrium constant", "showtoc:no", "license:ccbyncsa", "licenseversion:40" ], https://chem.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fchem.libretexts.org%2FBookshelves%2FPhysical_and_Theoretical_Chemistry_Textbook_Maps%2FSupplemental_Modules_(Physical_and_Theoretical_Chemistry)%2FEquilibria%2FChemical_Equilibria%2FThe_Equilibrium_Constant, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), http://en.Wikipedia.org/wiki/Equilibrium_constant, If \(K > 1\) then equilibrium favors products, If \(K < 1\) then equilibrium favors the reactants. The watergas shift reaction is important in several chemical processes, such as the production of H2 for fuel cells. There are some important things to remember when calculating. A reversible reaction can proceed in both the forward and backward directions. The initial partial pressure of \(O_2\) is 0.21 atm and that of \(N_2\) is 0.78 atm. An equilibrium constant value is independent of the analytical concentrations of the reactant and product species in a mixture, but depends on temperature and on ionic strength. What ozone partial pressure is in equilibrium with oxygen in the atmosphere (\(P_{O_2}=0.21\; atm\))? If it favors the products then it will favourite the forward direction to create for products (and fewer reactants). Direct link to Eun Ju Jeong's post You use the 5% rule when , Posted 7 years ago. Pure solids and pure liquids, including solvents, are not included in the equilibrium expression. Direct link to S Chung's post This article mentions tha, Posted 7 years ago. At 800C, the concentration of \(CO_2\) in equilibrium with solid \(CaCO_3\) and \(CaO\) is \(2.5 \times 10^{-3}\; M\). From a mathematical perspective, with the activities of solids and liquids and solvents equal one, these substances do not affect the overall K or Q value. This is the same \(K\) we were given, so we can be confident of our results. of a reversible reaction. Keyword- concentration. Thus the equilibrium constant for the reaction as written is 2.6. Example 15.7.1 Calculating Equilibrium Concentrations | Steps to Calculate | BYJU'S Experts are tested by Chegg as specialists in their subject area. with \(K_p = 2.5 \times 10^{59}\) at 25C. When you plug in your x's and stuff like that in your K equation, you might notice a concentration with (2.0-x) or whatever value instead of 2.0. We can write the equilibrium constant expression as follows: If we know that the equilibrium concentrations for, If we plug in our equilibrium concentrations and value for. This approach is illustrated in Example \(\PageIndex{6}\). \(2SO_{2(g)} + O_{2(g)} \rightleftharpoons 2SO_{3(g)} \), \(N_2O_{ (g)} + \dfrac{1}{2} O_{2(g)} \rightleftharpoons 2NO_{(g)} \), \(Cu_{(s)} + 2Ag^+_{(aq)} \rightleftharpoons Cu^{+2}_{(aq)} + 2Ag_{(s)} \), \(CaCO_{3 (g)} \rightleftharpoons CaCO_{(s)} + CO_{2 (g)} \), \(2NaHCO_{3 (s)} \rightleftharpoons Na_2CO_{3 (s)} + CO_{2 (g)} + H_2O_{ (g) }\). While gas changes concentration after the reaction, solids and liquids do not (the way they are consumed only affects amount of molecules in the substance). When we solve this type of problem, we view the system as equilibrating from the products side of the reaction rather than the reactants side. The equilibrium constant expression would be: which is the reciprocal of the autoionization constant of water (\(K_w\)), \[ K_c = \dfrac{1}{K_w}=1 \times 10^{14}\]. Direct link to S Chung's post Check out 'Buffers, Titra, Posted 7 years ago. The colors vary, with the leftmost vial frosted over and colorless and the second vial to the left containing a dark yellow liquid and gas. B We can now use the equilibrium equation and the given \(K\) to solve for \(x\): \[K=\dfrac{[H_2O][CO]}{[H_2][CO_2]}=\dfrac{(x)(x)}{(0.0150x)(0.0150x}=\dfrac{x^2}{(0.0150x)^2}=0.106\nonumber \]. Hooray! At the same time, there is no change in the products and reactants, and it seems that the reaction has stopped. Equilibrium Concentration | Dornshuld Concentrations & Kc: Using ICE Tables to find Eq. At equilibrium the reactant and product concentrations are constant because a change in one direction is balanced by a change in the other as the forward and reverse rates become equal: When a chemical system is at equilibrium, the concentrations of the reactants and products have reached constant values. We can check our work by substituting these values into the equilibrium constant expression: \[K=\dfrac{[H_2O][CO]}{[H_2][CO_2]}=\dfrac{(0.148)^2}{(0.422)(0.484)}=0.107\nonumber \].

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at equilibrium, the concentrations of reactants and products are