JEE Main & Advanced JEE Main Paper (Held on 7 May 2012)

  • question_answer
    The concentrated sulphuric acid that is peddled commercial is \[95%{{H}_{2}}S{{O}_{4}}\] by weight. If the density of this commercial acid is 1.834 g\[c{{m}^{-3}},\] the molarity of this solution is   JEE Main Online Paper (Held On 07 May 2012)

    A) 17.8 M          

    B)                        12.0 M

    C)                        10.5M                  

    D)                        15.7M

    Correct Answer: A

    Solution :

                    95% \[{{H}_{2}}S{{O}_{4}}\] by weight means \[100g{{H}_{2}}S{{O}_{4}}\] solution contains \[95\,g\,{{H}_{2}}S{{O}_{4}}\]by mass. Molar mass of \[\,{{H}_{2}}S{{O}_{4}}=98g\,mo{{l}^{-1}}\] Moles in \[95g=\frac{95}{98}=0.969\]mole Volume of\[100g{{H}_{2}}S{{O}_{4}}\] \[=\frac{\text{mass}}{\text{density}}=\frac{100g}{1.834g\,c{{m}^{-1}}}\] \[=54.52c{{m}^{3}}=54.52\times {{10}^{-3}}L\] \[\text{Molarity=}\frac{\text{Moles}\,\text{of}\,\text{solute}}{\text{Volme}\,\text{of}\,\text{solute}\,\text{in}\,\text{L}}\] \[\text{=}\frac{0.969}{54.52\times {{10}^{-3}}}=17.8M\]                


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