The best answers are voted up and rise to the top, Not the answer you're looking for? In this case, pH = 14 - 1.397940 = 12.60206. The reaction is then said to be in equilibrium (the point at which the rates of the forward and reverse reactions become the same, so that the net composition of the system no longer changes with time). magnesium reacts with hydrochloric acid to form magnesium chloride and hydrogen gas Label each compound (reactant or product) in the equation with a variable to represent the unknown coefficients. From the equation we can see that 2 moles of $\ce{HCl}$ reacts with 1 mole of $\ce{Ba(OH)2}$. Ba + 2HCl BaCl 2 + H 2. Is it because of Ba(OH)2 having 2*OH? In ancient times, an acid was any substance that had a sour taste (e.g., vinegar or lemon juice), caused consistent color changes in dyes derived from plants (e.g., turning blue litmus paper red), reacted with certain metals to produce hydrogen gas and a solution of a salt containing a metal cation, and dissolved carbonate salts such as limestone (CaCO3) with the evolution of carbon dioxide. This becomes particularly important when you do research in a lab because neutralization will become very important. Balanced reaction of Barium hydroxide and hydrochloric acid, Physical and chemical properties changes during the reaction, Ask your chemistry questions and find the answers, What is the limiting reagent and how hydroxide, we're going to use barium hydroxide, and it Barium chloride and water as results. hydroxide reacts with HCl. Barium sulfate can be formed in various shapes such as planar, starred, or spherical structures depending on the formulation condition, especially the . changed during the reaction. How to turn off zsh save/restore session in Terminal.app. Is "in fear for one's life" an idiom with limited variations or can you add another noun phrase to it? So we need to put a two )%2F04%253A_Reactions_in_Aqueous_Solution%2F4.03%253A_Acid-Base_Reactions, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), A substance with at least one hydrogen atom that can dissociate to form an anion and an, (a substance that produces one or more hydroxide ions (\(OH^-\) and a cation when dissolved in aqueous solution, thereby forming a basic solution), (a compound that is capable of donating one proton per molecule), A compound that can donate more than one proton per molecule is known as a, compound that can donate two protons per molecule in separate steps). 2. Combination reactions can also be called synthesis reactions. J.R. S. Choose an expert and meet online. &= 2\cdot c(\ce{Ba(OH)2})\cdot V(\ce{Ba(OH)2}) \\ 1. That was 0.0200 liters, right? Because of its more general nature, the BrnstedLowry definition is used throughout this text unless otherwise specified. All other polyprotic acids, such as H3PO4, are weak acids. a. If organic, identify the compound as a weak base or a weak acid by the presence of an amine or a carboxylic acid group, respectively. Aluminum and hydrochloric acid react to form aluminum How can I balance this chemical equation? Direct link to this balanced equation: Instructions on balancing chemical equations: moles of HCl were present. can see what we started with. Making educational experiences better for everyone. neutralized by HCl. First, because acids and bases were defined in terms of ions obtained from water, the Arrhenius concept applied only to substances in aqueous solution. The equation for this reaction is Ba (OH)2 + 2 HCl BaCl2 + 2 H2O. All that matters is that the unit you choose is the same throughout the equation. $\ce{Ba(OH)2} = \pu{0.034M} \times \frac{45}{1000} = 1.53 \times 10^{-3}$, $\ce{HCl} = 0.024 \times \frac{25}{1000} = 6 \times 10^{-4}$, ${1.53} \times 10^{-3} - 1.2 \times 10^{-3} = 3.3 \times 10^{-4}$, $\ce{OH-} = 3.3 \times 10^{-4} \times 2 = 6.6 \times 10^{-4}$, $= \frac{6.6 \times 10^{-4}}{\frac{25+45}{1000}} = \frac{6.6 \times 10^{-4}}{0.07} = 0.009..$, >"Moles of $\ce{HCl} = 0.024 \times \frac{25}{1000} = 6 \times 10^{-4}$ but $2\times6\times10^{-4}$ since its $\ce{2HCl}$ which is $1.2 \times 10^{-3}$". How do you do that? Instead, the solution contains significant amounts of both reactants and products. &= 2\cdot\pu{3.4e-2 mol L-1}\cdot\pu{4.5e-2 L} \\ Unfortunately, this is wrong and not at all how stoichiometry works. Using the term "moles of X" is incorrect. The barium hydroxide will split into one barium ion, Ba^ (2+), and two hydroxide ions, OH-. So BACl2, right? We work with ions. How to Balance HCl + Ba (OH)2 = BaCl2 + H2O (Hydrochloric Acid plus Barium Hydroxide) Wayne Breslyn 637K subscribers Subscribe 91K views 4 years ago In this video we'll balance the HCl +. And so we can do our calculation here. To balance a chemical equation, enter an equation of a chemical reaction and press the Balance button. The balanced molecular equation for this reaction is: a Question . For example, monoprotic acids (a compound that is capable of donating one proton per molecule) are compounds that are capable of donating a single proton per molecule. According to the Arrhenius definition, an acid is a substance like hydrochloric acid that dissolves in water to produce H + ions (protons; Equation 4.3.1 ), and a base is a substance like sodium hydroxide that dissolves in water to produce hydroxide (OH ) ions (Equation 4.3.2 ): HCl ( g) anArrheniusacid H2O ( l) H + ( aq) + Cl ( aq) The barium hydroxide will split into one barium ion, Ba^(2+), and two hydroxide ions, OH-. The general form of a combination reaction is: A+ B AB One combination reaction is two elements combining to form a compound. So BACl2, barium chloride, Is there a free software for modeling and graphical visualization crystals with defects? Our goal is to find how many another titration problem, and once again, our goal is to find the concentration my answer: (In a balanced reaction, atoms of each kind are the same on both sides of the reaction: Ba (s) + 2 HCl (aq) --> BaCl2 (aq) + H2 (g) Bubbles are due to the formation of hydrogen gas) a.Write the balanced molecular equation for this reaction showing coefficients and phase labels. I don't exactly know what I don't know if that makes any sense. $$, $$ If $Ba(OH)_{2}$ is in excess, then why does all of the $HCl$ react? So if you multiply your answer by two, then you get the correct answer, 0.0422 molar. Moles of $\ce{HCl} = 0.024 \times \frac{25}{1000} = 6 \times 10^{-4}$ but $2\times6\times10^{-4}$ since its $\ce{2HCl}$ which is $1.2 \times 10^{-3}$. Spellcaster Dragons Casting with legendary actions? In many cases a complete equation will be suggested. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. So we can multiply this number by two, and we'd figure out how better for these problems, when your mole ratio is not one to one, to go through the longer way and do it, if you want to be absolutely sure that you're getting it correct. $\ce{HCl}$ is a formula for hydrogen chloride, whereas $\ce{HCL}$ is not and may denote "hydrogen-carbon-ligand" or be an abbreviation. It's 0.0154 molar, and we also know that molarity is equal to moles over liters. Since there are an equal number of atoms of each element on both sides, the equation is balanced. HA + BOH H2O + BA The reaction between hydrobromic acid (HBr) and sodium hydroxide is an example of an acidbase reaction: HBr . HOWEVER, the book is saying $\mathrm{pH} = 12.55$. Direct link to Hansi Gunawardena's post Is it necessary to includ, Posted 5 years ago. Ba(s) + 2HCl(aq) = BaCl2(aq) + H2(g) might be an ionic equation. Then, using the mole ratio from the balanced neutralization equation, convert from moles of strong base to moles of acid. Replace immutable groups in compounds to avoid ambiguity. 4.3: Acid-Base Reactions is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by LibreTexts. What is the balanced equation for the chemical reaction #Mg_3N_2+2H_2O -> Mg(OH)_2+NH_3#? Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Asking for help, clarification, or responding to other answers. Why do chemical equations need to be balanced? $$. According to the Arrhenius definition, an acid is a substance like hydrochloric acid that dissolves in water to produce H+ ions (protons; Equation \(\ref{4.3.1}\)), and a base is a substance like sodium hydroxide that dissolves in water to produce hydroxide (OH) ions (Equation \(\ref{4.3.2}\)): \[ \underset{an\: Arrhenius\: acid}{HCl_{(g)}} \xrightarrow {H_2 O_{(l)}} H^+_{(aq)} + Cl^-_{(aq)} \label{4.3.1} \], \[ \underset{an\: Arrhenius\: base}{NaOH_{(s)}} \xrightarrow {H_2O_{(l)}} Na^+_{(aq)} + OH^-_{(aq)} \label{4.3.2} \]. New Home Construction Electrical Schematic. barium hydroxide reaction, Barium's only oxidation state is +2. Units: molar mass - g/mol, weight - g. Please tell about this free chemistry software to your friends! have two hydrogens here, and then we have two over here. You can also ask for help in our chat or forums. Acids other than the six common strong acids are almost invariably weak acids. One mole of Barium hydroxide reacts with two moles of Hydrochloric acid. Neutralization reactions are one type of chemical reaction that proceeds even if one reactant is not in the aqueous phase. Right, and 20 milliliters would be, move our decimal place, 0.0200 liters. Map: Chemistry - The Central Science (Brown et al. Consequently, an aqueous solution of sulfuric acid contains \(H^+_{(aq)}\) ions and a mixture of \(HSO^-_{4\;(aq)}\) and \(SO^{2}_{4\;(aq)}\) ions, but no \(H_2SO_4\) molecules. The only common strong bases are the hydroxides of the alkali metals and the heavier alkaline earths (Ca, Sr, and Ba); any other bases you encounter are most likely weak. A neutralization reaction is when an acid and a base react to form water and a salt and involves the combination of H + ions and OH - ions to generate water. Read our article on how to balance chemical equations or ask for help in our chat. Second we consider the chlorine, there is one on the LHS and two on the RHS, so we need to have two moles/atoms of #HCl# in the formula. If you're seeing this message, it means we're having trouble loading external resources on our website. First, calculate the number of moles of strong base required to reach the equivalence point of the titration. of HCl, and this time, instead of using sodium So we have BA2 plus and CL minus 1, so you could cross those over. In solving these problems remember, (aq) = aqueous, (s) = solid, (g) = gas and (l) = liquid, and be sure the final equation is balanced. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. If G > 0, it is endergonic. \begin{align} of barium hydroxide. ____ #KClO_3 -># ____ #KCl +# ____ #O_2#. concentration was 0.0154 molar, and the volume of base that we used was 27.4 milliliters in our titration. Recall that all polyprotic acids except H2SO4 are weak acids. Reaction stoichiometry could be computed for a balanced equation. This means when a given solution contains one mole of atoms , ions, molecules, or any chemcial compound in its one litre solution, that solution is called molar solution, what does titration and finding the equilibrium help us with. Understanding weak acid-strong base titration, Sci-fi episode where children were actually adults. The first person to define acids and bases in detail was the Swedish chemist Svante Arrhenius (18591927; Nobel Prize in Chemistry, 1903). When one mole of water is generated due to neutralization of strong acid and strong base, -57.1kJ is released. Barium chloride is a salt and soluble in water to form a colourless aqueous solution. An example of a substitutions reaction occurs when zinc combines with hydrochloric acid. The net ionic equation typically describes the actual chemistry of the reaction, and what is going on. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. #2HCl + Ba(OH)_color{red}2 -> BaCl_2 + color{red}2H_2O#. A compound that can donate more than one proton per molecule is known as a polyprotic acid. When you divide both sides by 20 mL, the units cancel out so it does not matter what you choose. The proper terminology here is the amount of substance. Barium hydroxide reacts with 2. That works too, but I personally like pOH. Watch out for the proper capitalization, which is actually a big deal in natural sciences. For the acid, we don't Now to find leftover moles, youll have to subtract as such As chemical products, heat is released due to neutralization of strong acid and strong base. to multiply 0.000422 by two. Ba(OH)2 is the limiting reactant, which means all of the HCl is used up. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. So let's get some room over here. So where do you mulitply by two? When Balancing acid-base reactions, typically you balance the elements which are the salt's cation and anion's first, here the barium and the chlorine, the oxygen next, and the hydrogen should now be balanced. 1. Connect and share knowledge within a single location that is structured and easy to search. Review invitation of an article that overly cites me and the journal. of an acidic solution. In contrast, a base was any substance that had a bitter taste, felt slippery to the touch, and caused color changes in plant dyes that differed diametrically from the changes caused by acids (e.g., turning red litmus paper blue). Ba + HCl = BaCl2 + H2 might be a redox reaction. How can I balance this chemical equations? Titration of barium(II) hydroxide by hydrochloric acid. the acid that's present. This number is 0.0105 - 0.0075 = 0.003 moles. &= \pu{2.4e-2 mol L-1}\cdot\pu{2.5e-2 L} \\ According to Brnsted and Lowry, an acid (A substance with at least one hydrogen atom that can dissociate to form an anion and an \(H^+\) ion (a proton) in aqueous solution, thereby forming an acidic solution) is any substance that can donate a proton, and a base (a substance that produces one or more hydroxide ions (\(OH^-\) and a cation when dissolved in aqueous solution, thereby forming a basic solution) is any substance that can accept a proton. compounds from other compounds in the qualitative analysis. So we find the difference to find how many moles there are in the solution when the reaction is . Both aqueous barium hydroxide and aqueous hydrochloric acid are colourless solutions. if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[728,90],'chemistryscl_com-medrectangle-3','ezslot_3',110,'0','0'])};__ez_fad_position('div-gpt-ad-chemistryscl_com-medrectangle-3-0'); In this tutorial, we will discuss followings. Similarly, strong bases dissociate essentially completely in water to give \(OH^\) and the corresponding cation. 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. Molar solution is actually a concentration term. 1) why is it "H3O+ OH -> 2H2O" and not "2H + 2OH -> 2H2O" or are these equivalent? equal to MV, and let's do the molarity of the base acid solution, right? But there are 0.0105 moles of $\ce{Ba(OH)2}$ present. It'd skip a few steps of working with $pOH$ etc. Also, the total solution volume won't be 0.150 mol dm^-3. here, and let's do that. And then our other product, Direct link to sajed619007's post what does titration and f, Posted 7 years ago. Because two Then complete and balance the reaction. when we did it the longer way. For example, KOH and Ba(OH) 2 dissolve in water and dissociate completely to produce cations (K + and Ba . Strong acids and strong bases are both strong electrolytes. So we take 0.0154 and we multiply that by 0.0274, and that gives us, this will be 4.22 times 10 to 27.4 milliliters is 0.0274 liters, right? oxidation numbers of atoms are not The BrnstedLowry definition of a base, however, is far more general because the hydroxide ion is just one of many substances that can accept a proton. Find another reaction Thermodynamic properties of substances The solubility of the substances One thing though. Direct link to alessia.czerwinski's post When using the shortcut M, Posted 7 years ago. Acids (using the Arrhenius definition) are chemicals which produce H+ ions, while bases are chemicals which produce OH- ions. Why doesn't all of the $Ba(OH)_{2}$ react to leave an excess of $HCl$? That's how many moles of HCl we have at our equivalence points. acid solutions should show pH values much lower than 7 due to its strong acidic nature. The process can be written as follows: HCl ( g) + H 2 O ( ) H 3 O + ( aq) + Cl ( aq) HCl (g) is the proton donor and therefore a Brnsted-Lowry acid, while H 2 O is the proton acceptor and a Brnsted-Lowry base. The nature of HCl is such that its reaction with water as just described is essentially 100% efficient: Virtually every HCl molecule that dissolves in water will undergo this reaction. The ionization reaction of acetic acid is as follows: \[ CH_3 CO_2 H(l) \overset{H_2 O(l)}{\rightleftharpoons} H^+ (aq) + CH_3 CO_2^- (aq) \label{4.3.7} \]. We need to balance the chlorines on both sides. From the equation we can see that 2 moles of $\ce{HCl}$ reacts with 1 mole of $\ce{Ba(OH)2}$. takes 27.4 milliliters of a 0.0154 molar solution hope it helps. You will get the same number and there will be no units! \begin{align} Posted 7 years ago. Buzzwords Season 9 - Number of Moles (reboot), Improving the copy in the close modal and post notices - 2023 edition, New blog post from our CEO Prashanth: Community is the future of AI, Byproducts of the neutralisation of hydrochloric acid with sodium hydroxide. Let's focus on what's important. Dividing 27.4mL by 20mL is the same as dividing 0.0274L by 0.02L. Calculate the net ionic equation for Ba(s) + 2HCl(aq) = BaCl2(aq) + H2(g). So we can calculate the concentration. All right, so the concentration Examples: Fe, Au, Co, Br, C, O, N, F. Compare: Co - cobalt and CO - carbon monoxide, To enter an electron into a chemical equation use {-} or e. To enter an ion, specify charge after the compound in curly brackets: {+3} or {3+} or {3}. Direct link to Matt B's post You have a base reacting , Posted 8 years ago. That alone tells us the pH is above 7, as Ba(OH)2 is alkaline and there is no acid left", I'm confused because if Ba(OH)2 is the limiting reactant, shouldn't it be used first and leave acid behind? A chemical reaction requires a solution of magnesium sulfate. There is no correlation between the solubility of a substance and whether it is a strong electrolyte, a weak electrolyte, or a nonelectrolyte. For example, C6H5C2H5 + O2 = C6H5OH + CO2 + H2O will not be balanced, but XC2H5 + O2 = XOH + CO2 + H2O will. And so if you want to use the For every, right, there's a one here. So we have four hydrogens on the left. Direct link to Natalie Centeno's post at 2:03 how did we know w, Posted 3 years ago. Same goes for math operators, including and : is phenyl and can be read as "phosphor-hydrogen", or be yet another abbreviation. You can still use it if you it out by looking at your balanced equation up here, right? Can I ask for a refund or credit next year? Is the titration of sodium carbonate with hydrochloric acid temperature dependent? $$. here for this coefficient to give us four hydrogens on the right. The ph indicator used here is phenolphthalein. Let's look at the mole ratio It only takes a minute to sign up. looking at the chlorines. It is true that the molar ratio between Ba(OH)2 and HCL is 1:2. Direct link to phil h's post It is true that the molar, Posted 3 years ago. WebQC is a web application with a mission to provide best-in-class chemistry tools and information to chemists and students. Reaction Information Word Equation Barium Nitrate + Hydrogen Chloride = Barium Chloride + Nitric Acid One mole of aqueous Barium Nitrate [Ba (NO3)2] and two moles of aqueous Hydrogen Chloride [HCl] react to form one mole of aqueous Barium Chloride [BaCl2] and two moles of aqueous Nitric Acid [HNO3] Show Chemical Structure Image Reaction Type Barium sulfate, BaSO 4, is made by reacting barium hydroxide and other barium sources with sulfuric acid and has a long history as a translucent white pigment. So trying to use the shortcut way, 0.0154 times 27.4 gives us that number, divide by 20, right? In your case, the value of $\ce{OH-}$ is 0.04 and the pOH is $$\ce{pOH = -log(0.04)}$$ It' s like yin and yang, pH and pOH; two sides of a coin and whatnot. Y. Nonomura, in Cosmetic Science and Technology, 2017 14.2.1.1.5 Barium Sulfate. To know the characteristic properties of acids and bases. It only takes a minute to sign up. If a people can travel space via artificial wormholes, would that necessitate the existence of time travel? Chemistry Stack Exchange is a question and answer site for scientists, academics, teachers, and students in the field of chemistry. Therefore, there will be twice as many Cl ions in solution as Ca2+ ions. All right, so finally, as our other product here. HCl(aq) + Ba(OH)2(aq) BaCl2(aq) + 2 H2O(l) 2. the correct answer, right? There are two #HCl# atoms/moles for two hydrogen and another two in the pair of #OH#'s in the barium hydroxide, for a total of four on the LHS. Barium + Hydrogen Chloride = Barium Chloride + Dihydrogen, S(reactants) > S(products), so Ba + HCl = BaCl2 + H2 is, G(reactants) > G(products), so Ba + HCl = BaCl2 + H2 is, (assuming all reactants and products are aqueous. By using this website, you signify your acceptance of Terms and Conditions and Privacy Policy. On the right all the hydrogen is in the #H_2 O#, since two have two atoms/moles of #H_2 O#, each of which contains two hydrogens, we have four hydrogens on the RHS, so they are balances. So, we can say that mL were used simply because the information was given in mL and it would have been unecessary to change. So $\mathrm{pH} = 14 - 2.026 = 11.97$. When balancing equations, which numbers are you allowed to change? Finally, as you rightfully suggested (use the correct value for $c(\ce{OH-})$, however): $$ When using the shortcut MV = MV for the acid and the base, shouldn't the unit of the volume be in litres (the same way that molarity uses litres)? No, the ratio between Ba(OH)2 and HCl is the only important that is one here. So that's 0.0274 liters. And also, on BaCl. Ammonia, for example, reacts with a proton to form \(NH_4^+\), so in Equation \(\ref{4.3.3}\), \(NH_3\) is a BrnstedLowry base and \(HCl\) is a BrnstedLowry acid. Typically less than 5% of a weak electrolyte dissociates into ions in solution, whereas more than 95% is present in undissociated form. Hydrochloric acid and gives Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. The greater volume that is made will not influence the equilibrium point because water is at pH 7 (neutral) so the ratio to total volume is irrelevant. Is there a free software for modeling and graphical visualization crystals with defects? First I wrote the chemical equation $$\ce{2HCl + Ba(OH)_2 \rightarrow 2H_2O + BaCl_2}$$, Then I calculated the number of moles of each $\ce{Ba(OH)_2}$ has Total Ionic Equation. gives us, for our products, we have H plus and OH In fact, this is only one possible set of definitions. #color{red}2HCl + Ba(OH)_2 -> BaCl_color{red}2 + H_2O#. For Free. We can define acids as substances that dissolve in water to produce H+ ions, whereas bases are defined as substances that dissolve in water to produce OH ions. 2 Ba (s) + O 2 (g) 2 BaO (s) Ba (s) + O 2 (g) BaO 2 (s) water moles are generated according to the stoichiometric balanced equation, -114.2 kJ is released when Ba(OH)2 is In contrast, only a fraction of the molecules of weak acids and weak bases react with water to produce ions, so weak acids and weak bases are also weak electrolytes. . I have done this problem multiple times and cannot figure it out. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Products: Barium chloride is a salt. Many weak acids and bases are extremely soluble in water. The equation for this reaction is Ba(OH)2 + 2 HCl BaCl2 + 2 H2O. So 0.0150 moles of $\ce{HCl}$ will react with $\frac{0.0150}{2}$ = 0.0075 moles of $\ce{Ba(OH)2}$. ${1.53} \times 10^{-3} - 1.2 \times 10^{-3} = 3.3 \times 10^{-4}$, this is the excess moles of $\ce{Ba(OH)2}$. According to Arrhenius, the characteristic properties of acids and bases are due exclusively to the presence of H+ and OH ions, respectively, in solution. All carboxylic acids that contain a single CO2H group, such as acetic acid (CH3CO2H), are monoprotic acids, dissociating to form RCO2 and H+.

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