1.

A storage battery contains a solution of `H_(2)SO_(4) 30%` by weight. Find out (Given density of solution`=1.2gm//cm^(3)`)A. MolalityB. MolarityC. NormalityD. Mole fraction of `H_(2)SO_(4)`

Answer» 30% by weight `implies W_("solute")=30gm,W_("solution")=100gm,W_("solvent")=70gm`
`V_("solution")=100/1.2mL`
`n_("solution")=30/98=0.306 " "n_("solvent")=70/18=3.889`
(i) Molality`=(n_("solute")xx1000)/w_("solvent")=(0.306xx1000)/70=4.37m`
(ii) Molarity`=(n_("solute")xx1000)/V_("solution")=(0.306xx1000)/(100/1.2)=3.67M`
(iii)`"Normality" =(w_("solute")xx1000)/(E_("solute")xxV_("solution"))=(30xx1000)/(49xx100/1.2)=7.37N`
Alternately
`Normality=("n-factor"xx"Molarity")`
`=2xx3.67=7.34`
(iv)` X_(H_(2)SO_(4))=X_(H_(2)SO_(4))/(n_(H_(2)SO_(4))+n_(H_(2)O))=0.306/(0.306+3.889)=0.07`


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