When determining the equilibrium concentrations for the reaction ; a simplifying assumption can be used under certain conditions to avoid solving a quadratic equation. Classify each situation by whether the simplifying assumption can be used or whether the quadratic formula is required. Use simplifying assumptions - Quadratic formula required 1. [AB] = 0.0178 M; 2. [AB] = 0.00204 M; 3. [AB] =0.451 M; = 0.000905 4. [AB] = 0.0174 M; = 0.0000925 5. [AB] = 0.396 M; = 0.00228

When the value of the equilibrium constant is much smaller than [AB], simplifying assumption can be used.

However, if the value of the equilibrium constant is closer to [AB], quadratic formula is required.

Explanation:

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"among the transition metal elements, manganese and zinc have a slight lowering of electronegativities. the reason behind this is that the nuclear charges of these elements are slightly weaker than the other transition metal elements due to the way their valence electrons are filled up. both manganese and zinc have their valence electrons filled up to the 4th shell with 1 pair of electrons (4s2) completely occupying it. although the electrons in the 3rd shell (3d) are yet to be paired since the outer most shell is filled up, the ability of the nucleus to attract electrons is lessened. hence,   the electronegativity (or the ability to attract electrons) is lessened."