Hey there!
The pH range of a buffer is the pH window where in the uffer resists the changes in pH of the solution upon addition of small amounts of acid or base. Generally, the pH range of a buffer solution is equal to pKa ±1.
for this system :
ka= 1.3*10⁻⁷ , hence
pKa= - log (Ka)
pKa = - log ( 1.3*10⁻⁷)
pKa = 6.88
Therefore, hence the buffer can be used in pH range of 5.88 to 7.88.
Hope that helps!