Find the [H₃O⁺] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. beer, 4.8

Verified step by step guidance

1. Recall the relationship between pH and hydronium ion concentration \([H_3O^+]\) is given by the formula: \([H_3O^+] = 10^{-\text{pH}}\).
2. Substitute the given pH value into the formula: \([H_3O^+] = 10^{-4.8}\).
3. Calculate the exponent part first, which means finding the value of \$10^{-4.8}$ (you can use a calculator for this step).
4. Express the result in scientific notation, which means writing it in the form \(a \times 10^{b}\) where \$1 \leq a < 10\( and \)b$ is an integer.
5. Round the coefficient \(a\) to the nearest tenth as requested to complete the answer.

Key Concepts

pH and Hydronium Ion Concentration Relationship

pH is a measure of the acidity of a solution and is defined as the negative logarithm (base 10) of the hydronium ion concentration, [H₃O⁺]. The formula is pH = -log[H₃O⁺]. To find [H₃O⁺] from pH, use the inverse relationship: [H₃O⁺] = 10^(-pH).

Scientific Notation

Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of ten, such as 3.2 × 10⁻⁵. It is useful for representing very large or very small numbers clearly and concisely, which is common in chemistry for concentrations like [H₃O⁺].

Rounding to the Nearest Tenth in Scientific Notation

When rounding numbers in scientific notation, focus on the first decimal place of the coefficient (the number between 1 and 10). For example, 1.234 × 10⁻⁵ rounded to the nearest tenth is 1.2 × 10⁻⁵. This ensures answers are precise yet simple.