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

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a
Mole fraction of  HCl=0.1
b
Mole fraction of H2O=0.9
c
Number of moles of  HCl=0.1
d
Number of moles of H2O=0.9

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detailed solution

Correct option is D

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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