A student prepares two different buffer solutions at \(25^\circ\text{C}\) using nitrous acid, \(\text{HNO}_2\), and sodium nitrite, \(\text{NaNO}_2\), as summarized in the table below.

Buffer solution	Volume (mL)	\([\text{HNO}_2]\) (M)	\([\text{NaNO}_2]\) (M)
1	\(100.0\)	\(0.50\)	\(0.50\)
2	\(100.0\)	\(0.050\)	\(0.050\)

To a separate \(100.0\text{ mL}\) sample of each buffer solution, the student adds \(1.0\text{ mmol}\) of \(\text{HCl(aq)}\) with negligible change in volume. Which of the following correctly compares the initial \(\text{pH}\) of the two buffers and the magnitude of the \(\text{pH}\) change, \(|\Delta\text{pH}|\), resulting from the addition of the \(\text{HCl(aq)}\)?