The pH of lemon juice is about 2.2.
(a) What is the concentration of hydrogen ions in lemon juice?
(b) A person squeezes 3 oz of lemon juice into a cup. Based on your answer to part (a), how many hydrogen ions does this juice contain?
For example you could enter 2.45×1018 by entering 2.45 * 10^(18) instead of 2,450,000,000,000,000,000.
Number of ions:
To find the concentration of hydrogen ions in lemon juice, we need to use the pH value.
(a) The pH scale is a logarithmic scale that measures the concentration of hydrogen ions in a solution. The formula to convert pH to hydrogen ion concentration is:
[H+] = 10^(-pH)
Substituting the pH value of lemon juice (2.2) into the formula:
[H+] = 10^(-2.2)
Using a scientific calculator, we find that the concentration of hydrogen ions in lemon juice is approximately 6.3 x 10^(-3) mol/L.
(b) To calculate the number of hydrogen ions in 3 oz (ounces) of lemon juice, we need to know the molar concentration of hydrogen ions and convert it to number of ions.
First, we need to convert ounces to liters. Since 1 fluid ounce is approximately equal to 0.0296 liters, then 3 fluid ounces is equal to 3 * 0.0296 = 0.0888 liters.
Next, we multiply the volume (in liters) by the molar concentration (in mol/L) to get the number of moles of hydrogen ions:
Number of moles of hydrogen ions = Concentration * Volume
= (6.3 x 10^(-3) mol/L) * 0.0888 L
Finally, we convert the moles of hydrogen ions to the number of ions by multiplying it by Avogadro's number (6.022 x 10^23 ions/mol):
Number of ions = Number of moles * Avogadro's number
= (6.3 x 10^(-3) mol/L) * 0.0888 L * (6.022 x 10^23 ions/mol)
Using a calculator, we find that the number of hydrogen ions in 3 oz of lemon juice is approximately 2.45 x 10^20 ions.