3.65 g of HCl is dissolved in 16.2 g of water, then the correct statement is / are

  1. A
    Mole fraction of  HCl=0.1
  2. B
    Mole fraction of H2O=0.9
  3. C
    Number of moles of  HCl=0.1
  4. D
    Number of moles of H2O=0.9

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    Solution:

    Amount of HCl, w=3.65g

    Amount of water ,W=16.2g

    Molar mass of HCl (MW) = 36.5 g/mol

    Molar mass of H2O =18.02g/mol

    i)  Number of moles of HCl will find as follows:

                                           nHCl=mass of HClMW of HCl

                                                   =3.65 g36.5 g/mol=0.1 mol

    ii) Number of moles ofH2O :

                                             nH2O=mass of H2OMW of H2O

                                            =16.2 g18.02g/mol=0.90mol

        

    iii) Mole fraction of HCl is calculated as follows:

         XHCl=no. of moles of HClno. of moles of HCl + no.of mols of H2O

          XHCl=0.10.1+0.9=0.1

    iv) Mole fraction of H2O :

    XH2O=no. of moles of H2Ono. of moles of H2O + no.of mols of HCl

    XH2O=0.900.90+0.10=0.90

    Hence, for given question all four answers are correct.

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