Which statements are true? (Select all that apply.)a) In the ionic strength range 0-0.1 M, activity coefficients increase with decreasing hydrated radius.b)In the ionic strength range 0-0.1 M, activity coefficients decrease with decreasing hydrated radius.c)In the ionic strength range 0-0.1 M, activity coefficients increase with increasing ionic charge.d)In the ionic strength range 0-0.1 M, activity coefficients decrease with increasing ionic charge.d)In the ionic strength range 0-0.1 M activity coefficients increase with increasing ionic strength.e)In the ionic strength range 0-0.1 M activity coefficients decrease with increasing ionic strength.

Question
Asked Oct 5, 2019
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Which statements are true? (Select all that apply.)

a) In the ionic strength range 0-0.1 M, activity coefficients increase with decreasing hydrated radius.
b)In the ionic strength range 0-0.1 M, activity coefficients decrease with decreasing hydrated radius.
c)In the ionic strength range 0-0.1 M, activity coefficients increase with increasing ionic charge.d)In the ionic strength range 0-0.1 M, activity coefficients decrease with increasing ionic charge.
d)In the ionic strength range 0-0.1 M activity coefficients increase with increasing ionic strength.
e)In the ionic strength range 0-0.1 M activity coefficients decrease with increasing ionic strength.
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Expert Answer

Step 1

The true statements are to be determined-

  1. a) In the ionic strength range 0-0.1 M, activity coefficients increase with decreasing hydrated radius.
  2. b) In the ionic strength range 0-0.1 M, activity coefficients decrease with decreasing hydrated radius.
  3. c) In the ionic strength range 0-0.1 M, activity coefficients increase with increasing ionic charge.
  4. d) In the ionic strength range 0-0.1 M, activity coefficients decrease with increasing ionic charge.
  5. e) In the ionic strength range 0-0.1 Mactivity coefficients increase with increasing ionic strength.
  6. f) In the ionic strength range 0-0.1 Mactivity coefficients decrease with increasing ionic strength.
Step 2

Ionic strength is defined as the total ion concentration in the solution.

Activity coefficient is a measure of deviation of solution from the ideal behaviour. And it is calculated using the extended Debye-Hückel equation.

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Extended Debye-Hückel equation - 0.51x z X. A log YA 1-(a/305) where ZA-ion's charge aeffective diameter of the hydrated ion in nanometers u -ionic strength of the solution

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Step 3

Activity coefficient and hydrated radius-

 

Hydrated radius is the radius of the ion plus the water molecules that are bounded to the ion.

As the hydrated radius decreases,...

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