Question

In: Chemistry

Is NaCHO2 strong base? Please explain why as well.

Is NaCHO2 strong base? Please explain why as well.

Solutions

Expert Solution

No, NaCHO2 is a weak base.

Ans. Reaction 1:        HCOOH + H2O -----------> HCOO- + H3O+

            Ka = [HCOO-] [H3O+] / [HCOOH]              - equation 1

            Or, [HCOOH] = [HCOO-] [H3O+]/ Ka         - equation 2

Reaction 2:                 HCOO- + H2O ---------> HCOOH + OH-

            Kb = [HCOOH] [OH-] / [HCOO-]                 - equation 3

Putting the value of equation [HCOOH] from equation 2 in equation 3-

            Kb = ([HCOO-] [H3O+]/ Ka) [OH-] / [HCOO-]

            Ok, Kb x Ka = [H3O+] [OH-] = 10-14                       ; [Note: [H3O+] [OH-] = 10-14]

            Or, Kb = 10-14 / Ka = 10-14 / (1.8 x 10-4) = 5.6 x 10-11

Note that Kb of formate ion is exceedingly small. The Kb value of strong bases ranges in several orders of 10. For example, the Kb of NaOH is around 1020.

Therefore, formate ion (or its sodium salt) is NOT a strong base.

NaCHO2 is a weak base as its Kb is around 5.6 x 10-11. Smaller is the Kb value, weaker is the base.

Note: 1. Weaker is the acid, stronger base is its conjugate base.

The above statement is used to predict the relative strength of conjugate bases derived from a set of weak acids. However, these conjugate bases are weak base under normal conditions for the weak acids used in general.

Note 2: The above statement also follows the formula- Ka x Kb = 10-14.

Since Ka value of formic acid is low (but NOT exceedingly low, say in order of 10-23), the resultant Kb of conjugate base is also very low.

If the Ka of a hypothetical acid, say AH is 10-23 , the Kb of its conjugate base would be Kb = 10-14 / 10-23 = 109 . Thus, the conjugate base has Kb of 109 and wopuld be a strong base.

However, our conjugate base, HCOO- is a weak base.

Ans. Reaction 1:        HCOOH + H2O -----------> HCOO- + H3O+

            Ka = [HCOO-] [H3O+] / [HCOOH]              - equation 1

            Or, [HCOOH] = [HCOO-] [H3O+]/ Ka         - equation 2

Reaction 2:                 HCOO- + H2O ---------> HCOOH + OH-

            Kb = [HCOOH] [OH-] / [HCOO-]                 - equation 3

Putting the value of equation [HCOOH] from equation 2 in equation 3-

            Kb = ([HCOO-] [H3O+]/ Ka) [OH-] / [HCOO-]

            Ok, Kb x Ka = [H3O+] [OH-] = 10-14                       ; [Note: [H3O+] [OH-] = 10-14]

            Or, Kb = 10-14 / Ka = 10-14 / (1.8 x 10-4) = 5.6 x 10-11

Note that Kb of formate ion is exceedingly small. The Kb value of strong bases ranges in several orders of 10. For example, the Kb of NaOH is around 1020.

Therefore, formate ion (or its sodium salt) is NOT a strong base.

NaCHO2 is a weak base as its Kb is around 5.6 x 10-11. Smaller is the Kb value, weaker is the base.

Note: 1. Weaker is the acid, stronger base is its conjugate base.

The above statement is used to predict the relative strength of conjugate bases derived from a set of weak acids. However, these conjugate bases are weak base under normal conditions for the weak acids used in general.

Note 2: The above statement also follows the formula- Ka x Kb = 10-14.

Since Ka value of formic acid is low (but NOT exceedingly low, say in order of 10-23), the resultant Kb of conjugate base is also very low.

If the Ka of a hypothetical acid, say AH is 10-23 , the Kb of its conjugate base would be Kb = 10-14 / 10-23 = 109 . Thus, the conjugate base has Kb of 109 and wopuld be a strong base.

However, our conjugate base, HCOO- is a weak base.


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