Making the simplistic assumption that the dissolved nacl(s) does not affect the volume of the solvent water, determine the constants m and b in the equation molarity = mdensity + b that relates the nacl molarity to the nacl(aq) density. take the density of water to be 1.00 g/ml and the molar mass of nacl to be 58.5 g/mol.

i am having a very difficult time answering this question. there just doesn't seem to be enough information to determine the constants.

1) Variables

2) Density of the solution: mass in grams / volume in mililiters

3) Mass of NaCl: m₁

    Number of moles = mass in grams / molar mass

    ⇒ mass in grams = number of moles × molar mass

        m₁ = n₁ × MM₁

4) Number of moles of NaCl: n₁

   Molarity = number of moles / Volume of solution in liters

   M = n₁ / Vt

   ⇒ n₁ = M × Vt

5) Substitue in the equation of m₁:

   m₁ = M × Vt × MM₁

6) Substitute in the equation of density:

    d = [M × Vt × MM₁ + m₂] / (1000Vt)

7) Simplify and solve for M

Making the simplistic assumption that the dissolved NaCl(s) does not affect the volume of the solvent water means 1000Vt = V₂  

        m₂/ V₂ is the density of water: 1.00 g/mL

8) Substituting MM₁ = 58.5 g/mol

Comparing with the equation Molarity = m×density + b, you obtain:

explanation:

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two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.