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3.64 grams of the silver salt of an organic dibasic acid yields , on strong heating , 2.16 gm of silver . If the weight percentage of carbon in it 8 times the weight percentage of hydrogen and one half the weight percentage of oxygen , determine the molecular formula of the acid ?
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3.64 grams of the silver salt of an organic dibasic acid yields , on s...
Problem: Determine the molecular formula of an organic dibasic acid given its silver salt yields 2.16 gm of silver on strong heating and its weight percentage of carbon is 8 times the weight percentage of hydrogen and half the weight percentage of oxygen.

Solution:

Step 1: Find the molecular weight of the silver salt

  • Given weight of silver salt = 3.64 gm

  • Weight of silver obtained on heating = 2.16 gm

  • Weight of acid in the salt = (3.64 - 2.16) gm = 1.48 gm

  • Moles of silver obtained = 2.16/107.87 = 0.02 mol

  • Moles of acid in the salt = 0.02 x 2 = 0.04 mol (as the acid is dibasic)

  • Molecular weight of the silver salt = 1.48/0.04 = 37



Step 2: Find the empirical formula of the acid

  • Weight percentage of carbon = 8 x weight percentage of hydrogen

  • Weight percentage of oxygen = 0.5 x weight percentage of carbon

  • Let the empirical formula of the acid be CxHyOz

  • From the given information, we can write:


    • %C = 8% H

    • %O = 0.5%C


  • Substituting the values and assuming 100 gm of the acid:


    • Mass of C = 8/9 x 100 = 88.89 gm

    • Mass of H = 1/9 x 100 = 11.11 gm

    • Mass of O = 0.5 x 88.89 = 44.44 gm


  • Dividing the masses by their respective atomic weights:


    • Moles of C = 88.89/12 = 7.41

    • Moles of H = 11.11/1 = 11.11

    • Moles of O = 44.44/16 = 2.78


  • Dividing the number of moles by the smallest number of moles:


    • Ratio of C:H:O = 7.41/2.78 : 11.11/2.78 : 1 = 2.67 : 4 : 1


  • Therefore, the empirical formula of the acid is C2.67H4O



Step 3: Find the molecular formula of the acid

  • Molecular weight of the empirical formula = 2.67 x 12 + 4 x 1 + 16 = 45.34

  • Ratio of molecular weight of the acid to the molecular weight of the empirical formula = 37/45.34 = 0.82

  • Multiplying the subscripts of the empirical formula by 0.82:

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    For certain substances such as ammonium chloride, nitrogen peroxide, phosphorus pentachloride, etc. the measured densities are found to be less than those calculatedfrom their molecular formula. The observed densities decrease towards a limit as thetemperature is raised. This is due to the splitting of the molecules into simpler ones. The process is reversible and is called thermal dissociation.Examples :With increase in the number of molecules, the volume increases (pressure remaining constant) and, in consequence, the density decreases. As the temperature rises, more and more dissociation takes place, and when practically complete dissociation occursthe density reaches its lowest limit.The extent of issociation, ice., the fraction of the total number of molecules which suffers dissociation is called the degree of dissociation. Gas density measurements can be used to determine the degree of dissociation. Let us take by general case where one molecule of a substance A splits up into n molecule of B on heating; i.e.,t = 0 at = teq a x nx Total no. of moles Observed molecular weight or molar mass of the mixtureQ.The K for the reaction is 640 mm at 775 K. The percentage dissociation of N2O4 at equilibrium pressure of 160 mm is

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    3.64 grams of the silver salt of an organic dibasic acid yields , on strong heating , 2.16 gm of silver . If the weight percentage of carbon in it 8 times the weight percentage of hydrogen and one half the weight percentage of oxygen , determine the molecular formula of the acid ?
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    3.64 grams of the silver salt of an organic dibasic acid yields , on strong heating , 2.16 gm of silver . If the weight percentage of carbon in it 8 times the weight percentage of hydrogen and one half the weight percentage of oxygen , determine the molecular formula of the acid ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 3.64 grams of the silver salt of an organic dibasic acid yields , on strong heating , 2.16 gm of silver . If the weight percentage of carbon in it 8 times the weight percentage of hydrogen and one half the weight percentage of oxygen , determine the molecular formula of the acid ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3.64 grams of the silver salt of an organic dibasic acid yields , on strong heating , 2.16 gm of silver . If the weight percentage of carbon in it 8 times the weight percentage of hydrogen and one half the weight percentage of oxygen , determine the molecular formula of the acid ?.
    Solutions for 3.64 grams of the silver salt of an organic dibasic acid yields , on strong heating , 2.16 gm of silver . If the weight percentage of carbon in it 8 times the weight percentage of hydrogen and one half the weight percentage of oxygen , determine the molecular formula of the acid ? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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