Calculate the pH of each acid solution. Explain how the resulting pH values demonstrate that the pH of an acid solution should carry as many digits to the right of the decimal place as the number of significant figures in the concentration of the solution. [H₃O⁺] = 0.044 M [H₃O⁺] = 0.045 M [H₃O⁺] = 0.046 M

검증된 단계별 안내

Start by recalling the formula for calculating pH: \( \text{pH} = -\log[\text{H}_3\text{O}^+] \).

For each given concentration of \([\text{H}_3\text{O}^+]\), substitute the value into the pH formula.

Calculate the logarithm of each concentration value. Remember that the logarithm function will give you a number with a decimal.

Apply the negative sign to the logarithm result to find the pH for each concentration.

Observe the number of significant figures in the concentration (2 significant figures) and ensure that the pH value reflects this by having 2 digits after the decimal point. This demonstrates the rule that the pH should carry as many digits to the right of the decimal as the number of significant figures in the concentration.>

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

59s

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

pH Scale

The pH scale measures the acidity or basicity of a solution, defined as the negative logarithm of the hydrogen ion concentration: pH = -log[H3O+]. A lower pH indicates a more acidic solution, while a higher pH indicates a more basic solution. Understanding the pH scale is essential for calculating and interpreting the acidity of various solutions.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. When performing calculations, the result should reflect the precision of the least precise measurement. In the context of pH calculations, the number of significant figures in the concentration of the acid solution dictates how many decimal places the pH value should have, ensuring accurate representation of the data.

Hydronium Ion Concentration

The concentration of hydronium ions ([H3O+]) in a solution directly influences its pH. For example, a higher concentration of [H3O+] results in a lower pH value, indicating a stronger acid. Understanding how to calculate [H3O+] from given concentrations is crucial for determining the corresponding pH and demonstrating the relationship between concentration and acidity.