What volume of 12.0 N and 6.0 N HCl must be mixed to give a 2.5 L solution with a concentration of 10.0 N HCl?

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  • david
    Lv 7
    2 months ago

     2.5 L solution with a concentration of 10.0 N HCl ===

       2.5 X 10.0 =  25 mol HCl needed

     .. let x - vol of 12 N .. and y = vol of 6 N

       total vol 2.5  so  y = 2.5 - x

       12.0x  +  6.0y = 25 mol

        12.0x + 6.0(2.5 - x)  = 25  <<  solve for x

        6x = 10

        x = 1.666666L of 12.0N

        y = 0.833333L of 6.0N

    round for sig figs

        

  • Ash
    Lv 7
    2 months ago

    N₁V₁ + N₂V₂ = N₃V₃ .....(1)

    we know V₁+V₂ =V₃, then V₂ = V₃-V₁

    plug in (1)

    N₁V₁ + N₂(V₃-V₁) = N₃V₃

    N₁V₁ + N₂V₃ - N₂V₁ = N₃V₃

    (N₁ - N₂)V₁ = (N₃ - N₂)V₃

    V₁ = (N₃ - N₂)V₃ / (N₁ - N₂)

    V₁ = (10.0 - 6.0)2.5 / (12.0 - 6.0)

    V₁ = 1.7 L

    V₂ = 2.5 - 1.7 = 0.8 L

    We need 1.7L of 12.0N HCl solution and 0.8 L of 6.0N HCl solution

  • 2 months ago

    Let the volume of 12 N HCl = V1

                              volume of 6 N HCl = V2

                     The resulting molarity = 10 N

                      wehave , ( N1 V1 + N1 V2 / V1 +V2 ) = 10N ----------- 1

                                       V1 + V2 = 2.5 L

                             ∴ V1 = 2.5 -V2

                     substituting this value in the equation 1 we get,

                              (12* ( 1-V2 ) + 6 V2 / 1 L) = 10 N

                                   12 - 6 V2 = 10

                                  ∴ V2 = 0.33 L

                                          V1 = 1 - (1/3) L

                                                 = (2/3) L

                          

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