To solve for the hydrogen ion concentration [tex]\([H^+]\)[/tex] given the pH of a solution, we can use the following relationship:
[tex]\[ [H^+] = 10^{-\text{pH}} \][/tex]
Given that the pH of the solution is 7.60, we substitute this value into the formula to find [tex]\([H^+]\)[/tex]:
[tex]\[ [H^+] = 10^{-7.60} \][/tex]
Next, we need to express [tex]\([H^+]\)[/tex] in scientific notation. Scientific notation is generally written as:
[tex]\[ [H^+] = a \times 10^b \][/tex]
where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(b\)[/tex] is an integer.
By calculating the value of [tex]\(10^{-7.60}\)[/tex], we find that:
[tex]\[ [H^+] = 2.511886431509582 \times 10^{-8} \][/tex]
Therefore, the hydrogen ion concentration [tex]\([H^+]\)[/tex] in scientific notation is:
[tex]\[ \mathbf{2.511886431509582 \textcolor{green}{\times} 10^{- \textcolor{yellow}{8}}} \][/tex]
Where:
- The coefficient (indicated in green) is 2.511886431509582.
- The exponent (indicated in yellow) is -8.
Thus, the hydrogen ion concentration for a pH of 7.60 is:
[tex]\[ [H^+] = \mathbf{2.511886431509582 \times 10^{-8}} \][/tex]
