A 0.2g Sample Of Benzoic Acid C6H5COOH Is Titrated With ... - Vedantu

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  • A 02g sample of benzoic acid C...
seo-qnaheader left imagearrow-right Answerdown arrowQuestion Answers for Class 12down arrowClass 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11down arrowClass 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10down arrowClass 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9down arrowClass 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8down arrowClass 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7down arrowClass 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6down arrowClass 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5down arrowClass 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4down arrowClass 4 ScienceClass 4 EnglishClass 4 MathsSearchIconbannerA 0.2g sample of benzoic acid \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] is titrated with a 0.120M \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\]solution. What volume of the \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\]solution is required to reach the equivalence point? Molar mass of $C_6H_5COOH$ = $122.1\, gmol^{-1}$A. 6.82 mlB. 13.6 ml C. 17.6 ml D. 35.2 ml AnswerVerifiedVerified575.4k+ viewsHint: Write the balanced acid-base reaction between \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] and \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\]. Calculate the moles of benzoic acid and then using the stoichiometric ratio, calculate the moles of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\]. Finally using the moles and molar concentration of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\] , calculate the volume of it. Formula Used: \[{\text{Moles = }}\dfrac{{{\text{mass}}}}{{{\text{Molar mass}}}}\]\[{\text{Molarity = }}\dfrac{{{\text{ moles }}}}{{{\text{ L of solution}}}}\]Complete step by step answer: The balanced acid-base reaction between \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] and \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\] is as follows: \[{\text{2}}{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH (aq) + Ba(OH}}{{\text{)}}_{\text{2}}}{\text{(aq) }} \rightleftharpoons {\text{ Ba(}}{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COO}}{)_2}({\text{aq) + 2}}{{\text{H}}_{\text{2}}}{\text{O(l)}}\]Now, using the mass and molar mass of \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] given to us calculate the moles of \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\]. \[{\text{Moles = }}\dfrac{{{\text{mass}}}}{{{\text{Molar mass}}}}\]Substitute 0.2g for the mass of \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] and \[122.1{\text{ gm}}{{\text{ol}}^{{\text{ - 1}}}}\] for molar mass of \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] and calculate the moles of \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] as follows: \[{\text{Moles = }}\dfrac{{0.2{\text{ g}}}}{{122.1{\text{ gm}}{{\text{ol}}^{{\text{ - 1}}}}}} = 0.0{\text{0163 mol}}\]Now, using these moles of \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] and balanced chemical reaction calculate the moles of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\] at as follows: From the balanced reaction, we can say that 2 moles of \[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\] reacts with 1 mole of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\]. So, \[0.0{\text{0163 mol }}{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}} \times \dfrac{{1{\text{ mol Ba(OH}}{{\text{)}}_{\text{2}}}{\text{ }}}}{{2{\text{ mol }}{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH }}}} = 8.19 \times {10^{{\text{ - 4}}}}{\text{ mol Ba(OH}}{{\text{)}}_{\text{2}}}\]Now, we have moles of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\] and also we have given molar concentration of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\]. Hence, calculate the volume of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\]require to reach the equivalence point as follows: \[{\text{Molarity = }}\dfrac{{{\text{ moles }}}}{{{\text{ L of solution}}}}\]Substitute \[8.19 \times {10^{{\text{ - 4}}}}{\text{ mol Ba(OH}}{{\text{)}}_{\text{2}}}\] and 0.120M \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\] in the molarity equation and calculate the volume of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\]require to reach the equivalence point. \[{\text{Litres of Ba(OH}}{{\text{)}}_{\text{2}}}{\text{ solution}} = 0.00682{\text{ L}}\]Convert the volume of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\] solution from L to ml. 1 L = 1000 ml \[0.00682{\text{ L}} \times \dfrac{{1000{\text{ ml}}}}{{1{\text{ L}}}} = 6.82{\text{ ml}}\]Thus, 6.82 ml of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\] is required to reach the equivalence point. Hence, the correct option is (A) 6.82 mlNote: Acid is a proton donor species and the base is a proton acceptor species. It is very important to write the correct balance reaction as a mole calculation depends on the stoichiometric ratio. From the balanced reaction, we can say that at the equivalence point 1 mole of \[{\text{Ba(OH}}{{\text{)}}_{\text{2}}}\] reacts with 2 moles of\[{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}{\text{COOH}}\].Recently Updated PagesMaster Class 11 Business Studies: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Computer Science: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Economics: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Social Science: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Chemistry: Engaging Questions & Answers for Successarrow-rightMaster Class 11 English: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Business Studies: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Computer Science: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Economics: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Social Science: Engaging Questions & Answers for Successarrow-rightMaster Class 11 Chemistry: Engaging Questions & Answers for Successarrow-rightMaster Class 11 English: Engaging Questions & Answers for Successarrow-right
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