HClO₄ (perchloric acid) is a strong acid, which means it completely dissociates in water. Therefore, the concentration of hydrogen ions \( [\text{H}^+] \) in a \( 1.0 \times 10^{-1} , \text{M} \) solution of HClO₄ is also \( 1.0 \times 10^{-1} , \text{M} \).
To find the pH, we use the formula:
\[ \text{pH} = -\log [\text{H}^+] \]
Substituting in the concentration:
\[ \text{pH} = -\log (1.0 \times 10^{-1}) \]
Calculating the logarithm:
\[ \text{pH} = -(-1) = 1.0 \]
Thus, the final answer, rounded to two decimal places, is:
\[ \text{pH} = 1.00 \]
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