a. The osmotic coefficient of a solvent S is defined by the relation where S

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a. The osmotic coefficient of a solvent ∅S is defined by the relation

Gs = Gs+os RT In s

where ∅S → 1 as xS → 1. Develop an expression relating the activity coefficient γS to the osmotic coefficient ∅S.

b. Robinson and Wood report the following interpolated values for the osmotic coefficient of seawater as a function of concentration at 25°C.

I 0.5 1.0 2.0 4.0 6.0  0.9018 0.9155 0.9619 1.0938 1.2536

Here I is the ionic strength, defined as 

I = 2 M

where zi is the valence of the ith ionic species and Mi is its molality. For simplicity, seawater may be considered to be a mixture of only sodium chloride and water. Compute the water activity coefficient and the equilibrium osmotic pressure for each of the solutions in the table.

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