For a binary solution composed of components 1 and 2, we can represent the mass percent of component 2 as A2. The solution is composed of nTotal moles. Component 1 has a molar mass of M1 and component 2 has a molar mass of M2.       a) In terms of A2, what is the mass percent of component 1?       b) Derive an expression for the mole fraction of component 2, x2, in              terms of A2.       c) Derive an expression for the mole fraction of component 1, x1, in            terms of A2.        d) For an aqueous solution, we can define component 1 as water and             component 2 as our solute. The density of the solution, ρ, can be             thought of as a function that depends on A2. We denote this as             ρ(A2) – which is just a notation like f(x) and does not mean ρ*A2.             Show that the total volume of the solution is given by:              V = (n1M1 + n2M2) / (ρ*A2)

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter13: The Chemistry Of Solutes And Solutions
Section: Chapter Questions
Problem 127QRT
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For a binary solution composed of components 1 and 2, we can represent the mass percent of component 2 as A2. The solution is composed of nTotal moles. Component 1 has a molar mass of M1 and component 2 has a molar mass of M2.

      a) In terms of A2, what is the mass percent of component 1?

      b) Derive an expression for the mole fraction of component 2, x2, in  

           terms of A2.

      c) Derive an expression for the mole fraction of component 1, x1, in

           terms of A2.

       d) For an aqueous solution, we can define component 1 as water and

            component 2 as our solute. The density of the solution, ρ, can be

            thought of as a function that depends on A2. We denote this as

            ρ(A2) – which is just a notation like f(x) and does not mean ρ*A2.

            Show that the total volume of the solution is given by:

             V = (n1M1 + n2M2) / (ρ*A2)

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