What is the approximate value of the K for the neutralization of nitrous acid with ammonia? Ka for the acid is 0.00045 and Kb for the base is 0.000018.

Do I multiply Ka*Kb?

I think that is the hydrolysis constant which is Kw/(KaKb).

Frist write out what is given:

HNO2 ⇌ H+ + NO2-
Ka = 0.00045 = [H+]*[NO2-]/[HNO2]
and:
NH3 + H2O ⇌ NH4+ + OH-
Kb = 0.000018 = [NH4+]*[OH-]/[NH3]

What is asked for is the K value for:
HNO2 + NH3 ⇌ NH4+ + NO2-

K = [NH4+]*[NO2-]/{ [HNO2]*[NH3] }
= { [NH4+]*[OH-]/[NH3] }*{ [H+]*[NO2-]/[HNO2] }/{ [H+]*[OH-] }
= Kb*Ka/Kw
where Kw = [H+]*[OH-] = 10^-14.
Is that very easy? Please finally do the very simple math.

To find the approximate value of the equilibrium constant (K) for the neutralization of nitrous acid (HNO2) with ammonia (NH3), we need to use the law of mass action.

The balanced chemical equation for the neutralization reaction is:

HNO2 + NH3 -> NH4NO2

In this reaction, nitrous acid (HNO2) acts as an acid and donates a proton (H+) to ammonia (NH3), which acts as a base. The products are the ammonium ion (NH4+) and nitrite ion (NO2-).

The equilibrium constant (K) expression for this reaction is:

K = [NH4+][NO2-] / [HNO2][NH3]

Given that Ka for nitrous acid is 0.00045 and Kb for ammonia is 0.000018, we can use these values to calculate the approximate value of K for the neutralization reaction.

To do this, we multiply Ka and Kb as you mentioned:

K = Ka * Kb = 0.00045 * 0.000018 = 0.0000000081

Therefore, the approximate value of K for the neutralization of nitrous acid with ammonia is 0.0000000081.