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GATE 2024 ES – Question 51

Environmental Chemistry · Principles of Water Chemistry · 2 marks · Numerical answer

Find ionic strength of a solution containing.01 M $CaCl_2$ and .001 M $Na_2SO_4$,in M, to three decimals.

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Correct answer: 0.033 to 0.033

Explanation

Assuming complete dissociation, ion concentrations are Ca²⁺.01,Cl⁻.02,Na⁺.002,SO₄²⁻.001 M. Ionic strength is $$I=\tfrac12\sum c_iz_i^2=\tfrac12[.01(4)+.02(1)+.002(1)+.001(4)]=\mathbf{.033}\ \mathrm M.$$ Charge is squared, so anions and cations both contribute positively.

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