The molarity M of a solution is related to the mole fraction x2 of solute by the expression, where p is the density of solution and M1 and M2 are the molar masses of solvent and solute, respectively.

  1. A

    M=x2ρM1+x2M1M2

  2. B

    M=x2ρM1x2M1M2

  3. C

    M=x2ρM1+x2M1+M2

  4. D

    M=x2ρM1x2M1+M2

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    Solution:

    Suppose that the l and 2 denote solvent and solute respectively,

    x2=n2n1+n2=n2m1M1+n2=n2M1m1+n2M1=n2M1m1+m2+n2M1m2=n2M1Ve+n2M1m2=n2M1Vp+n2M1M2=n2/vM1p+n2/vM1M2=MM1p+MM1M2

    Thus

    M=x2ρM1x2M1M2.

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