Question

The pH of lime juice is 1.9. Find the hydrogen ion concentration.

Answer 1

The hydrogen ion concentration of lime juice is 1.26 x 10^(-2) M.

Step-by-step explanation:

The pH of lime juice is 1.9. To find the hydrogen ion concentration, we can use the formula pH = -log[H3O+]. In this case, the pH is 1.9, so we can rearrange the equation to get [H3O+] = 10^(-pH). Substituting the value of pH into the equation, we have [H3O+] = 10^(-1.9), which is approximately 1.26 x 10^(-2) M. Therefore, the hydrogen ion concentration of lime juice is 1.26 x 10^(-2) M.

Answer 2

The hydrogen ion concentration
`(\(H^+\))` in lime juice with a pH of 1.9 is approximately
`\(1.12 * 10^(-2)\)` moles per liter (mol/L).

Step-by-step explanation:

The pH of a solution is a measure of its acidity, defined as the negative logarithm (base 10) of the hydrogen ion concentration. Mathematically, it is expressed as
`\( \text{pH} = -\log[H^+] \),` where
`\(H^+\)` is the concentration of hydrogen ions in moles per liter. In the given case, the pH of lime juice is 1.9. To find the hydrogen ion concentration, we rearrange the equation to solve for
`\([H^+]\): \( [H^+] = 10^{-\text{pH}} \).`Substituting the pH value of 1.9 into this equation, we get
`\( [H^+] = 10^(-1.9) \)`. Performing the calculation yields
`( [H^+] \approx 1.12 * 10^(-2)\) mol/L.`

Understanding the hydrogen ion concentration is crucial in assessing the acidity of a solution. A lower pH value indicates higher acidity, reflecting a higher concentration of hydrogen ions. Lime juice, with a pH of 1.9, falls into the acidic range on the pH scale. This acidity contributes to the characteristic tartness of lime juice. The hydrogen ion concentration provides a quantitative measure of the strength of an acid in a solution, influencing both the taste and chemical properties of the substance.

In summary, the hydrogen ion concentration in lime juice, calculated from its pH, is approximately
`\(1.12 * 10^(-2)\)` mol/L. This numerical value not only defines the solution's acidity but also helps understand the chemical characteristics associated with its taste and behavior in reactions.