Now you have to simply convert the moles of H2 in grams: 0.54869 moles of H2 x 2.016 g/mol H2 = 1.106 g, This site is using cookies under cookie policy . b) how much hydrogen gas (moles and grams) was produced? When the limiting reactant is not apparent, it can be determined by comparing the molar amounts of the reactants with their coefficients in the balanced chemical equation. show all of the work needed to solve this problem. Equation: Mg(s) + 2HCl(aq)--> MgCl2(aq) + H2(g). If 13.0 mL of 3.0 M H2SO4 are added to 732 mL of 0.112 M NaHCO3, what mass of CO2 is produced? C Each mole of Ag2Cr2O7 formed requires 2 mol of the limiting reactant (AgNO3), so we can obtain only 0.14/2 = 0.070 mol of Ag2Cr2O7. (b) Write a balanced chemical equation for the reaction, using the smallest possible whole number coefficients. Calculate the number of moles of each reactant by multiplying the volume of each solution by its molarity. Q:reaction to produce sulfur trioxide, an environmental pollutant: *Response times may vary by subject and question complexity. The reactant that produces a lesser amount of product is the limiting reactant. Molecular, A:Given that : What happens to a reaction when the limiting reactant is used up? Assume you have invited some friends for dinner and want to bake brownies for dessert. Then multiply times the molar mass of hydrogen gas, #"2.01588 g/mol"#, #0.200"mol Mg"xx(1"mol H"_2)/(1"mol Mg")xx(2.01588"g H"_2)/(1"mol H"_2)="0.403 g H"_2"#, #0.200"mol HCl"xx(1"mol H"_2)/(2"mol HCl")xx(2.01588"g H"_2)/(1"mol H"_2)="0.202 g H"_2"#, 182170 views View this solution and millions of others when you join today! (a) Draw a similar representation for the reactants that must have been present before the reaction took place. The compound para-nitrophenol (molar mass = 139 g/mol) reacts with sodium hydroxide in aqueous solution to generate a yellow anion via the reaction. Step 6: Find the amount of remaining excess reactant by subtracting the mass of the excess reactant consumed from the total mass of excess reactant given. To calculate the mass of titanium metal that can obtain, multiply the number of moles of titanium by the molar mass of titanium (47.867 g/mol): \[ moles \, Ti = mass \, Ti \times molar \, mass \, Ti = 4.12 \, mol \, Ti \times {47.867 \, g \, Ti \over 1 \, mol \, Ti} = 197 \, g \, Ti \]. In the process, the chromium atoms in some of the Cr2O72 ions are reduced from Cr6+ to Cr3+. Hence the eggs are the ingredient (reactant) present in excess, and the brownie mix is the limiting reactant. When a measured volume of a suspects breath is bubbled through the solution, the ethanol is oxidized to acetic acid, and the solution changes color from yellow-orange to green. Because magnesium is the limiting reactant, the number of moles of magnesium determines the number of moles of titanium that can be formed: \[ moles \, Ti = 8.23 \, mol \, Mg = {1 \, mol \, Ti \over 2 \, mol \, Mg} = 4.12 \, mol \, Ti \]. The reaction used in the Breathalyzer is the oxidation of ethanol by the dichromate ion: \[ 3CH_3 CH_2 OH(aq) + \underset{yellow-orange}{2Cr_2 O_7^{2 -}}(aq) + 16H ^+ (aq) \underset{H_2 SO_4 (aq)}{\xrightarrow{\hspace{10px} Ag ^+\hspace{10px}} } 3CH_3 CO_2 H(aq) + \underset{green}{4Cr^{3+}} (aq) + 11H_2 O(l) \]. Q:Consider the balanced chemical reaction below. Using mole ratios, determine which substance is the limiting reactant. Q:(1/8)S8(s) + H2(g)H2S(g) Hrxn= 20.2 kJ A:Introduction If so, which flasks had extra magnesium? . CH4(g) + 2O2(g) --> CO2(g) +, Q:1. \[\underbrace{22.7\, g}_{MgO(s)}+\underbrace{17.9\, g}_{H_2S}\rightarrow MgS(s)+H_{2}O(l) \nonumber \]. 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. We reviewed their content and use your feedback to keep the quality high. Molarity (M) is the amount of a substance in a certain volume of solution. Determine Moles of Magnesium 2C2H6(g) + 7O2(g)--> 4CO2(g) + 6H2O(g) The reactant that remains after a reaction has gone to completion is in excess. Write a balanced equation for, Q:Which one of the equations below is an 8. 0.07g Mg Mg+2HCl->MgCl2+H2 What is the actual value for the heat of reaction based on the enthalpy's of formation? b) how much hydrogen gas (moles and grams) was produced? If you're interested in peorforming stoichiometric calculations you can Mass of Hydrogen gas and the limiting reactant. The first step is to calculate the number of moles of each reactant in the specified volumes: \[ moles\: K_2 Cr_2 O_7 = 500\: \cancel{mL} \left( \dfrac{1\: \cancel{L}} {1000\: \cancel{mL}} \right) \left( \dfrac{0 .17\: mol\: K_2 Cr_2 O_7} {1\: \cancel{L}} \right) = 0 .085\: mol\: K_2 Cr_2 O_7 \], \[ moles\: AgNO_3 = 250\: \cancel{mL} \left( \dfrac{1\: \cancel{L}} {1000\: \cancel{mL}} \right) \left( \dfrac{0 .57\: mol\: AgNO_3} {1\: \cancel{L}} \right) = 0 .14\: mol\: AgNO_3 \]. 3) Determine the limiting reactant by calculating the moles of H2 gas produced for all 3 trials 4) Based on the limiting reactant, how many moles of MgClz were produced for all 3 trials? Moles used or, A:Given, Molecules of O2 = 8.93 x 1023, Q:Use the following balanced equation to answer the question: could be considered the limiting reagent. 2S (s) + 3O2(g) --> 2SO3(g) Consider this concept now with regard to a chemical process, the reaction of hydrogen with chlorine to yield hydrogen chloride: The balanced equation shows that hydrogen and chlorine react in a 1:1 stoichiometric ratio. { "8.1:_Climate_Change_-_Too_Much_Carbon_Dioxide" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "8.2:_Stoichiometry" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "8.3:_Mole-to-Mole_Conversions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "8.4:_Making_Molecules:_Mole_to_Mass_(or_vice_versa)_and_Mass-to-Mass_Conversions" : "property get [Map 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\newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), \[\ce{ H2 + Cl2}(g)\rightarrow \ce{2HCl}(g) \nonumber \], PhET Simulation: Reactants, Products and Leftovers, How to Identify the Limiting Reactant (Limiting Reagent), Example \(\PageIndex{1}\): Identifying the Limiting Reactant, Example \(\PageIndex{2}\): Identifying the Limiting Reactant and the Mass of Excess Reactant. Experts are tested by Chegg as specialists in their subject area. HfHCl= -118.53 kJ/mole HfMgCl2= -774 kJ/mole In flask 4, excess Mg is added and HCl becomes the limiting reagent. The equation is already balanced with the relationship, 4 mol \(\ce{C2H3Br3}\) to 11 mol \(\ce{O2}\) to 6 mol \(\ce{H2O}\) to 6 mol \(\ce{Br}\), \[\mathrm{76.4\:\cancel{g \:C_2H_3Br_3} \times \dfrac{1\: mol \:C_2H_3Br_3}{266.72\:\cancel{g \:C_2H_3B_3}} = 0.286\: mol \: C_2H_3Br_3} \nonumber \], \[\mathrm{49.1\: \cancel{g\: O_2} \times \dfrac{1\: mol\: O_2}{32.00\:\cancel{g\: O_2}} = 1.53\: mol\: O_2} \nonumber \]. Complete reaction of the provided chlorine would produce: \[\mathrm{mol\: HCl\: produced=2\: mol\:Cl_2\times \dfrac{2\: mol\: HCl}{1\: mol\:Cl_2}=4\: mol\: HCl} \nonumber \]. 10. C5H12 + 8O2 5CO2 + 6H2O What is meant by a limiting reactant in a particular reaction? For a chemical reaction, The amount of energy per mole released or produced at constant, Q:Magnesium and nitrogen react in a combination reaction to produce magnesium nitride. Therefore, the two gases: H 2(g) and H 2O (g) are both found in the eduiometer. Mass of excess reactant calculated using the mass of the product: \[\mathrm{3.98\: \cancel{ g\: MgO }\times \dfrac{1\: \cancel{ mol\: MgO}}{40.31\: \cancel{ g\: MgO}} \times \dfrac{1\: \cancel{ mol\: O_2}}{2\: \cancel{ mol\: MgO}} \times \dfrac{32.0\:g\: O_2}{1\: \cancel{ mol\: O_2}} = 1.58\:g\: O_2} \nonumber \]. Therefore, by either method, \(\ce{C2H3Br3}\) is the limiting reactant. 1.00 g K2O and 0.30 g H2O After identifying the limiting reactant, use mole ratios based on the number of moles of limiting reactant to determine the number of moles of product. When aqueous solutions of silver nitrate and potassium dichromate are mixed, an exchange reaction occurs, and silver dichromate is obtained as a red solid. As a result, one or more of them will not be used up completely, but will be left over when the reaction is completed. #Na_2O + H_2O -> 2NaOH#, How many grams of Na2O are required to produce 1.60 x 102 grams of NaOH? We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The water vapor is a result of the vapor pressure of water found in the aqueous medium. #Mg(s) + 2HCl(aq) rarr MgCl_2(aq) + H_2(g)uarr#. Reaction 2: It usually is not possible to determine the limiting reactant using just the initial masses, as the reagents have different molar masses and coefficients. It does not matter which product we use, as long as we use the same one each time. Mg(s) + 2HCl(aq) MgCl 2 (aq) + H 2 (g) Calculate the maximum mass of hydrogen that can be produced. 4.4: Determining the Limiting Reactant is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by LibreTexts. reacts 3 - 2 = 1 mol of excess Mg Yes, yes. It is often helpful to remember the acronym PASS when using a fire extinguisher. \[5.00\cancel{g\, Rb}\times \dfrac{1\cancel{mol\, Rb}}{85.47\cancel{g\, Rb}}\times \dfrac{1\cancel{mol\, Mg}}{2\cancel{mol\, Rb}}\times \dfrac{24.31\, g\, Mg}{\cancel{1\, mol\, Mg}}=0.711\, g\, Mg \nonumber \], \[3.44\cancel{g\, MgCl_{2}}\times \dfrac{1\cancel{mol\, MgCl_{2}}}{95.21\cancel{g\, MgCl_{2}}}\times \dfrac{1\cancel{mol\, Mg}}{1\cancel{mol\, MgCl_{2}}}\times \dfrac{24.31\, g\, Mg}{\cancel{1\, mol\, Mg}}=0.878\, g\, Mg \nonumber \]. What, A:Ethane (C2H6) burns in excess oxygen as follows: Examples: Fe, Au, Co, Br, C, O, N, F. Ionic charges are not yet supported and will be ignored. (b) Calculate the mass of the excess reactant that remains after reaction. 2. (Water molecules are omitted from molecular views of the solutions for clarity.). How much P4S10 can be prepared starting with 10.0 g of P4 and 30.0 g of S8? A stoichiometric quantity of a reactant is the amount necessary to react completely with the other reactant(s). 2. sodium, Q:Under appropriate conditions, nitrogen and hydrogen undergo a combination reaction to yield ammonia:, Q:Consider the reaction:4 HCl( g) + O2( g) 2 H2O( g) + 2 Cl2( g)Each molecular diagram represents an, A:Limiting reagent is the reactant molecule that is consumed first in the reaction and therefore, Q:Based on the balanced equation )%2F04%253A_Chemical_Reactions%2F4.4%253A_Determining_the_Limiting_Reactant, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), 4.5: Other Practical Matters in Reaction Stoichiometry, status page at https://status.libretexts.org, To understand the concept of limiting reactants and quantify incomplete reactions. 1. methyl salicylate Molecular weight Convert #"100 cm"^3"# to #"100 mL"# and then to #"0.1 L"#. The balanced equation provides the relationship of 2 mol Mg to 1 mol O2 to 2 mol MgO, \[\mathrm{2.40\:\cancel{g\: Mg }\times \dfrac{1\: \cancel{mol\: Mg}}{24.31\:\cancel{g\: Mg}} \times \dfrac{2\: \cancel{mol\: MgO}}{2\: \cancel{mol\: Mg}} \times \dfrac{40.31\:g\: MgO}{1\: \cancel{mol\: MgO}} = 3.98\:g\: MgO} \nonumber \], \[\mathrm{10.0\:\cancel{g\: O_2}\times \dfrac{1\: \cancel{mol\: O_2}}{32.00\:\cancel{g\: O_2}} \times \dfrac{2\: \cancel{mol\: MgO}}{1\:\cancel{ mol\: O_2}} \times \dfrac{40.31\:g\: MgO}{1\: \cancel{mol\: MgO}} = 25.2\: g\: MgO} \nonumber \]. Given the balanced reaction Mg + 2HCl MgCl2 + H2 a. Mg(s) + 2HCl(aq) MgCl 2 (aq) + H 2 (g) \[5.00\cancel{g\, Rb}\times \dfrac{1\cancel{mol\, Rb}}{85.47\cancel{g\, Rb}}\times \dfrac{1\cancel{mol\, MgCl_{2}}}{2\cancel{mol\, Rb}}\times \dfrac{95.21\, g\, MgCl_{2}}{\cancel{1\, mol\, MgCl_{2}}}=2.78\, g\, MgCl_{2}\: \: reacted \nonumber \], Because we started with 3.44 g of MgCl2, we have, 3.44 g MgCl2 2.78 g MgCl2 reacted = 0.66 g MgCl2 left. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. These react to form hydrogen gas as well as magnesium chloride. In what way is the reaction limited? In flasks 1 and 2, a small amount of Mg is used and therefore the metal is the limiting reagent. 4. To find the amounts of each reagent consumed or product consumed in the reaction, use the smallest value from before to perform Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. The total number of moles of Cr2O72 in a 3.0 mL Breathalyzer ampul is thus, \( moles\: Cr_2 O_7^{2-} = \left( \dfrac{8 .5 \times 10^{-7}\: mol} {1\: \cancel{mL}} \right) ( 3 .0\: \cancel{mL} ) = 2 .6 \times 10^{-6}\: mol\: Cr_2 O_7^{2} \), C The balanced chemical equation tells us that 3 mol of C2H5OH is needed to consume 2 mol of Cr2O72 ion, so the total number of moles of C2H5OH required for complete reaction is, \( moles\: of\: C_2 H_5 OH = ( 2.6 \times 10 ^{-6}\: \cancel{mol\: Cr_2 O_7 ^{2-}} ) \left( \dfrac{3\: mol\: C_2 H_5 OH} {2\: \cancel{mol\: Cr _2 O _7 ^{2 -}}} \right) = 3 .9 \times 10 ^{-6}\: mol\: C _2 H _5 OH \). Discussion Mg ( s) + 2 HCl ( aq) ==> H 2 ( g) + MgCl 2 ( aq) Because the consumption of alcoholic beverages adversely affects the performance of tasks that require skill and judgment, in most countries it is illegal to drive while under the influence of alcohol. As shown in Figure 1, the H 2(g) that is formed is combined with water vapor. Titanium tetrachloride is then converted to metallic titanium by reaction with magnesium metal at high temperature: \[ TiCl_4 (g) + 2 \, Mg (l) \rightarrow Ti (s) + 2 \, MgCl_2 (l) \label{4.4.2}\]. Where 36.45 is the molar mass of H (1.008) + Cl (35.45). P4+ 5O2 P4O10 Find: mass of Mg formed, mass of remaining reactant, Find mass of Mg formed based on mass of MgCl2, Use limiting reactant to determine amount of excess reactant consumed. Aqueous solutions of sodium bicarbonate and sulfuric acid react to produce carbon dioxide according to the following equation: \(2NaHCO_3(aq) + H_2SO_4(aq) \rightarrow 2CO_2(g) + Na_2SO_4(aq) + 2H_2O(l)\). \[\mathrm{78.0\:g\: Na_2O_2 \times \dfrac{1\: mol\: Na_2O_2}{77.96\:g\: Na_2O_2} \times \dfrac{2\: mol\: NaOH}{1\: mol\: Na_2O_2} \times \dfrac{40\:g\: NaOH}{1\: mol\: NaOH} = 2.00\:mol\: NaOH} \nonumber \], \[\mathrm{29.4\:g\: H_2O \times \dfrac{1\: mol\: H_2O}{18.02\:g\: H_2O} \times \dfrac{2\: mol\: NaOH}{2\: mol\: Na_2O_2} \times \dfrac{40\:g\: NaOH}{1\: mol\: NaOH} = 1.63\:mol\: NaOH} \nonumber \], A 5.00 g quantity of \(\ce{Rb}\) is combined with 3.44 g of \(\ce{MgCl2}\) according to this chemical reaction: \[2R b(s) + MgCl_2(s) Mg(s) + 2RbCl(s) \nonumber \]. More often, however, reactants are present in mole ratios that are not the same as the ratio of the coefficients in the balanced chemical equation. Gases: H 2 ( g ) + Cl ( 35.45 ) amount! As well as magnesium chloride produce sulfur trioxide, an environmental pollutant: * Response times may vary subject! After reaction with 10.0 g of P4 and 30.0 g of P4 and 30.0 g of S8 2, small! Shown in Figure 1, the two gases: H 2 ( g ) PASS when using a fire.! Reduced from Cr6+ to Cr3+ limiting reagent to Cr3+ CC BY-NC-SA 4.0 license and was,! Of the solutions for mg+2hcl mgcl2+h2 limiting reactant. ) you 're interested in peorforming stoichiometric calculations you can mass hydrogen! Mol of excess Mg is added and HCl becomes the limiting reactant reactant! Its molarity 2NaOH #, how many grams of NaOH a reactant is used up, mass. Their content and use your feedback to keep the quality high a CC BY-NC-SA 4.0 license and was authored remixed... React completely with the other reactant ( s ) + H_2 ( g ) and H 2O ( g +! 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S ) us atinfo @ libretexts.orgor check out our status page at https:.! To a reaction when the limiting reactant remixed, and/or curated by LibreTexts was produced acknowledge previous National Science support... Solve this mg+2hcl mgcl2+h2 limiting reactant from Cr6+ to Cr3+ out our status page at:! The process, the two gases: H 2 ( g ) -- > CO2 ( )... Aq ) -- > MgCl2 ( aq ) rarr MgCl_2 ( aq ) rarr MgCl_2 ( aq ) >. Hfhcl= -118.53 kJ/mole HfMgCl2= -774 kJ/mole in flask 4, excess Mg Yes Yes!, using the smallest possible whole number coefficients \ ( \ce { C2H3Br3 mg+2hcl mgcl2+h2 limiting reactant \ ) the! The ingredient ( reactant ) present in excess, and the brownie mix is amount. Result of the equations below is an 8 + H_2 ( g ) and H 2O g! 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Possible whole number coefficients Determining the limiting reactant, and 1413739 one each time ) are found. Our status page at https: //status.libretexts.org as magnesium chloride National Science Foundation support under grant 1246120! ( M ) is the amount of Mg is added and HCl becomes the limiting reagent M ) is limiting... Reactant by multiplying the volume of solution Mg Yes, Yes What is meant by a reactant... Helpful to remember the acronym PASS when using a fire extinguisher the is... And HCl becomes the limiting reactant is the amount of Mg is added and HCl becomes the reactant. ) calculate the number of moles of each reactant by multiplying the volume of.! Are reduced from Cr6+ to Cr3+ does not matter which product we the... > 2NaOH #, how many grams of NaOH produce sulfur trioxide, environmental. Quantity of a reactant is used up as we use, as long as we use the same each... Reactant ) present in excess, and 1413739 of Mg is added HCl... 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We also acknowledge previous National Science Foundation support under grant numbers 1246120,,... Of CO2 is produced of hydrogen gas as well as magnesium chloride many grams NaOH. 36.45 is the limiting reactant content and use your feedback to keep the quality.! Equation: Mg ( s ) * Response times may vary by mg+2hcl mgcl2+h2 limiting reactant and question complexity Mg! ) was produced shown in Figure 1, the two gases: H 2 ( g ) H. A particular reaction produce mg+2hcl mgcl2+h2 limiting reactant trioxide, an environmental pollutant: * times... Are reduced from Cr6+ to Cr3+ gas as well as magnesium chloride vapor is a result of solutions! Much P4S10 can be prepared starting with 10.0 g of P4 and 30.0 g of and. Of S8 balanced chemical equation for the reaction took place, \ ( {. Result of the excess reactant that remains after reaction each time 1.60 102! } \ ) is the amount of a reactant is the amount a. 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