[penovili]

Hi guys,
So i got the K1 value for this reaction wich was done using HCL
Now i have to plot the graph of k1 vs H3O.
The pka of hcl is -7
what would be [H3O]


I know that [H3O]+ = [H]+

attempt :
pka= -logka= -7
logka= 7
ka=10^7
ka= x^2/ (3.0M - x) aprrox = x^2/3.0M
1.0 * 10^7 = x^2/3.0M

x= [H3O]

[mjc123]

You can't make the assumption 3.0 - x ≈ 3.0. That only works for weak acids where x is small. Your calculation would lead to x ≈ 10³M - does that look sensible? pKa = -7 means it is a strong acid that is essentially fully ionised in water. So for 3.0 M HCl, you can take [H₃O⁺] as 3.0 M.

What you could also do is call the concentration of undissociated HCl y; then [H₃O⁺] = [Cl^-] = 3.0 - y, and
Ka = (3.0 - y)²/y
and simplify by assuming 3.0 - y ≈ 3.0 (Check the validity of this assumption after calculating y.)